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Short description Featuring a unique CD that contains a virtual computer/calculator software program, The Definitive Guide to How Computers Do Math begins by explaining fundamental math concepts, such as the use of powers and different place-value number systems (specifically binary, decimal, and hexadecimal). The book then introduces the concepts of computers and calculators and discusses fundamental concepts such as the stack and the use of subroutines. Readers then use what they have learned to create a set of basic math subroutines for addition, subtraction, multiplication, and division. Finally, these routines are gathered together into a framework program that the authors use to implement a simple four-function calculator. |
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Overview
Book Details
Algebra, Grades 6-8
English
ISBN:
0769663060
EAN:
9780769663067
Publisher:
Carson-Dellosa Publishing, LLC
Release Date:
05/26/2012
Age Range:
11-14
Synopsis:
Spectrum Algebra helps students from sixth through eighth grade improve and strengthen their math skills in areas such as factors and fractions; equations and inequalities; functions and graphing; rational numbers; and proportion, percent, and interest. |
Synopsis
Both simple and accessible, Maths in Minutes is a visually led introduction to 200 key mathematical ideas. Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation. Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology.
Found In
eBook Information
ISBN: 9780857386 |
Looking for support with your Algebra course, then the Algebra Buster is your solution. This software explains all the steps to the problems you enter. Jacob Matheson, FL
This is excellent tutoring software, it really helped get my grades up, and it is so easy even a total dummy like me could do it. Stephanie Cummings, AZ
This is great, finishing homework much faster31 :
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what is the difference between equivalent equations and simplification |
Relations, Functions and Linear Equations: Study the definition of
relations and functions. Use of mapping, tables, ordered sets and
graph to represent relations and functions. Learn how to apply the
vertical test to identify a function. Determine the difference
between discrete vs. continues functions. Definition of linear
equations and the Standard Form.
Learning
About Slope: Slope formula (run vs. rise and two points), falling to the
right, horizontal, vertical, negative and positive cases for the slope.
Slope of parallel and perpendicular lines.
Working
With Systems of Linear
Equations: Slope intercept form and point-slope form problems that
involve a point and slope, two points, etc. Solving systems of two
variable linear equations by substitution, linear combinations and
graphing. Introduction to special functions (step function, constant
function, identity function and absolute value function) |
Course Communities
The Calculus Game
This is essentially a Jeopardy game with the categories being integration, definite integrals, substitution, the fundamental theorem, and area between curves. The questions are good but they are exactly the same if you play the game again. Further, if you accidentally click on next question before switching back from show answer to show question, it shows the answer instead of the question. |
Basic Math Solved! Description:
Basic Math Solved! is a mathematical tool designed to solve YOUR basic math problems step-by-step – straight from the textbook! Basic Math Solved! covers all the basic mathematics, from addition and subtraction to introductory prealgebra. With countless features and tools at its disposal, Basic Math Solved! will have you acing your homework immediately! Infinite examples, step-by-step explanations, practice test creation, detailed graphs, and guided user input are just a few of the many features available, all with a remarkably easy-to-use graphical interface.
Prealgebra Solved! - Prealgebra Solved! is a mathematical tool designed to solve YOUR pre-algebra and basic math problems – straight from the textbook! Its unique style and power make Prealgebra Solved! |
HP10s
Product no.: F2214AA#AK6
This scientific solar calculator is perfect for students taking General Math, Pre-Algebra, Algebra, Trigonometry, Statistics, Geometry or Biology. Quickly calculate statistics, permutations, combinations and factorials or solve trigonometry and inverse functions. Utilize the solar power to help extend battery life. Simple-to-use and designed to go with you as your challenges grow, the HP 10s is capable of taking on tough problems. |
about balancing equations and keeping an equation balanced by adding/subtracting the same amount to both sides of the equation. Students solve missing value problems and justify their solutions.
Using segments and web interactives from Get the Math, this self-paced lesson helps students see how Algebra I can be applied in special effects, challenging them to use algebraic concepts and reasoning to calculate lighting high-speed effects like explosions.
Students practice using algebraic expressions by recording data from a video segment in which two staircases ascend at different rates. They record the patterns in two-column tables, draw line graphs and write simple algebraic relations.
Using segments and web interactives from Get the Math, this self-paced lesson helps students see how Algebra I can be applied in basketball, challenging them to use algebraic concepts and reasoning to calculate the perfect free throw shot.
Using segments and web interactives from Get the Math, this lesson helps students see how Algebra I can be applied to the world of fashion, challenging them to use algebraic concepts and reasoning to modify garments and meet target price points.
Using segments and web interactives from Get the Math, this lesson helps students see how Algebra I can be applied in the music world, challenging them to use algebraic concepts and reasoning to calculate the tempos of different music samples.
Using video segments and web interactives from Get the Math, this lesson helps students see how Algebra I can be applied in the world of videogame design and challenges them to use algebraic concepts and reasoning to plot the linear paths of items in a videogame.
This original animation from KET introduces Pythagoras' belief that "all is number." The virtual world of computer animation shows how the movement and shape of computer characters can be described with numbers, or "quantified." |
This is a very useful site for high school and college level mathematics teachers and students. The site includes teachers resources and information relative to the use of calculators, PowerPoint, computer programming, and workshops.
Microsoft PowerPoint Viewer allows you to view PowerPoint 2000 presentations if your computer does not have Microsoft PowerPoint 2000. Right Click on the link, Click on Save Target As, and follow the instructions on the screen.
This site from Rice University is "a must" for statistics and contains four major components. HyperStat Online - An online statistics book with links to other statistics resources on the web. Simulations/Demonstrations - Java applets that demonstrate various statistical concepts. Case Studies - Examples of real data with analyses and interpretation Analysis Lab - Some basic statistical analysis tools.
The TI-83, Texas Instrument Graphing Calculator, is capable of performing a vast number of operations. This brief tutorial will highlight only a few of the operations in the statistical and matrix packages. The tutorial by Russ Baker from Howard Community College gives more functions of the TI-83.
Virginia Mathematical Association of Two-Year Colleges
Microsoft Word 2000 Viewer allows you to view Word documents if your computer does not have Microsoft Word 2000. Right Click on the link, Click on Save Target As, and follow the instructions on the screen. |
books.google.co.uk - This classic book retains its outstanding ongoing features and continues to provide readers with excellent background material necessary for a successful understanding of mathematical statistics. Chapter topics cover classical statistical inference procedures in estimation and testing, and an in-depth... to mathematical statistics
Introduction to mathematical statistics-- including uniformly most powerful tests and likelihood ratios. Many illustrative examples and exercises enhance the presentation of material throughout the book. For a more complete understanding of mathematical statistics.
Review: Introduction to Mathematical Statistics
Review: Introduction to Mathematical Statistics
User Review - Joecolelife - Goodreads
I had Hogg (an excellent instructor) when I took Math Stat at Iowa. The class was based on the fifth edition of this text. It had just been published, and he offered students $5 for reporting any ...Read full review |
The Calculus 2 Advanced Tutor: Learning By Example DVD Series teaches students through step-by-step example problems that progressively become more difficult. This DVD covers Partial Fractions in Calculus, including what a Partial Fraction is, how it can be used to solve integrals, and why it is a central topic in Calculus. Grades 9-12. 72 minutes on DVD. |
AEPA Mathematics 10
Be prepared for your AEPA Mathematics certification exam with the help of this comprehensive study guide from XAMonline. Aligned specifically to current state standards, this study covers the sub-areas of Number Sense; Data Analysis and Probability; Patterns, Algebra, and Functions; Geometry and Measurement; Trigonometry and the Conceptual Foundations of Calculus; and Mathematical Structure and Logic. Study and master the 28 competencies/skills found on the AEPA Mathematics certification exam, and improve your score with the 125 sample-test questions. |
General Mathematics
Problems with and Without ... Problems!
This book is addressed to College honor students, researchers, and professors.
It contains 136 original problems published by the author in various scientific journals around the world.
The problems could be used to preparing for courses, exams, and Olympiads in mathematics.
Many of these have a generalized form.
For each problem we provide a detailed solution.
I was a professeur coopérant between 1982-1984, teaching mathematics in French language at Lycée Sidi EL Hassan Lyoussi in Sefrou, Province de Fès, Morocco.
I used many of these problems for selecting and training, together with other Moroccan professors, in Rabat city, of the Moroccan student team for the International Olympiad of Mathematics in Paris, France, 1983. |
You will be graded based on your performance from each chapter. Each chapter's possible points earned will total to 100.
Lesson Presentation/Journal <<< 10 points >>>
For each section, a few students will be chosen to present worked examples for practice problems to the class. They will have one night to prepare for this exercise. Presenters should talk the class through each lesson and actively engage all other students. They must be prepared to answer questions from students and teacher. The remaining students not chosen for presentations will write a journal entry over the material. These journals will be collected at the end of the chapter. Students that are absent will forfeit the opportunity to present/journal thus no points can then be awarded.
Practice <<< 5 Points >>>
Practice problems from the text book will not be collected. It is expected that you attempt these problems with in the day that they are assigned. We will go over these problems in class as requested or as assigned to students for board work. If it is obvious that you are not prepared or have not done your homework, you will be deducted homework points for each instance. Keep in mind that as we go over the problems in class, students should be following along and as not to copy work. When people become too focused on copying, your mind becomes too limited in comprehending.
Worksheets <<< 10 Points >>>
At the end of a section, you and a partner will be give additional, more challenging problems to do. Treat these as a partner take home quiz where you will be graded on your performance.
Sign Up Problems <<< 10 Points >>>
For each chapter there will be 5 sign up problems that you are to work on with the expectation that you will be prepared to present your solution to the class. You will receive full points for simply signing up for these problems. However, if you sign up for a problem that you are unprepared to do, you will automatically be deducted 1 point for each problem that you signed up for. Once called upon, you will present to the class your method and solution.
Quizzes <<< 20 Points >>>
For each chapter you will be given two 10 point quizzes to be taken alone based on your preparation from your homework problems. Even though correct answers are important, credit is also given based on your procedure.
Tests <<< 20 Points >>>
At the end of each chapter you will be given a chapter test that is mainly multiple-choice in format. Show as much work as possible so that you can earn partial credit on problems with incorrect solutions.
Application Problem <<< 5 Points >>>
For each chapter you will be given a problem that ties into a topic beyond just mathematics. You should show neatly on paper how to arrive at you solution and provide a final answer to the problem.
Projects <<< 20 points >>>
With a group of peers, you will be busy at working on a project for each chapter. Some of these projects may carry into succeeding chapters. Group participation is an essential element to this exercise. Your group will eventually prepare a presentation for the class describing your methods and findings. |
Description
This title provides numerous exercises, worked examples and clear explanations with questions and diagrams. Colour is used to highlight key mathematical elements and enhance learning. Margin notes provide extra support for key topics and formulas (a key formulas page is also included). Review and Technique exercises; Contextual questions; Consolidation 'A' and 'B' exercises and Applications and Activities provide a complete range of challenges and exam practice for complete success. Chapter overviews and summaries consolidate understandingPure Mathematics: Complete Advanced Level |
Understanding calculus is vital to the creative applications of mathematics in numerous areas. This text focuses on the most widely used applications of mathematical methods, including those related to other important fields such as probability and statistics. The four-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. In addition to three helpful appendixes, the text features answers to some of the exercises. Appropriate for advanced undergraduates and graduate students, it is also a practical reference for professionals. 1985 edition. 310 figures. 18 tables. Reprint of the Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1985Calculus: Problems and Solutions by A. Ginzburg Ideal for self-instruction as well as for classroom use, this text improves understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. Over 1,200 problems, with hints and complete solutions. 1963 edition. read more
$29.95 read more
$42.95
Numerical Methods for Scientists and Engineers by Richard Hamming This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition. read more
$22.95
Introduction to Proof in Abstract Mathematics by Andrew Wohlgemuth This undergraduate text teaches students what constitutes an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. 1990 edition. read more
$19.95
A Concept of Limits by Donald W. Hight An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. Many exercises with solutions. 1966 edition. read more
$8.95read more read more
$14.95 read more
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$19.95
Calculus: A Modern Approach by Karl Menger An outstanding mathematician and educator presents pure and applied calculus in a clarified conceptual frame, offering a thorough understanding of theory as well as applications. 1955 edition. read more
$19.95 read more
$19.95
Approximate Calculation of Integrals by V. I. Krylov
Arthur read more read more |
Mathematics Catalog
Student Rescources
Holt McDougal Mathematics Grade 7
Take a Look
The new Holt McDougal Mathematics for middle school provides complete and comprehensive coverage of the Common Core State Standards with content and standards of mathematical practices documented throughout every lesson. The unique integrated assessment and intervention features, Are You Ready and Ready To Go On, demonstrate if the students have the prerequisite depth of knowledge to proceed with the chapter content. |
In mathematics education, Precalculus, an advanced form of secondary school algebra, is a foundational mathematical discipline. Mathematics education is a term that refers both to the practice of Teaching and Learning Mathematics, as well as to a field of scholarly ResearchElementary algebra is a fundamental and relatively basic form of Algebra taught to students who are presumed to have little or no formal knowledge of Mathematics beyondMathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and It is sometimes considered to be an honors course. Courses and textbooks in precalculus are intended to prepare students for the study of calculus. A textbook is a manual of instruction or a standard book in any branch of studyCalculus ( Latin, calculus, a small stone used for counting is a branch of Mathematics that includes the study of limits, Derivatives Precalculus typically includes a review of algebra and trigonometry, as well as an introduction to exponential, logarithmic and trigonometricfunctions, vectors, complex numbers, conic sections, and analytic geometry. Al In Mathematics, a conic section (or just conic) is a Curve obtained by intersecting a cone (more precisely a circular Conical surfaceAnalytic geometry, also called coordinate geometry and earlier referred to as Cartesian geometry or analytical geometry, is the study of Geometry Equivalent college courses are introduction to analysis, college algebra, and trigonometry. Analysis has its beginnings in the rigorous formulation of Calculus.Al
In Mathematics, the real numbers may be described informally in several different waysComplex plane In Mathematics, the complex numbers are an extension of the Real numbers obtained by adjoining an Imaginary unit, denoted In Mathematics, an inequality is a statement about the relative size or order of two objects or about whether they are the same or not (See also equalityAn equation is a mathematical statement, in symbols, that two things are exactly the same (or equivalentThe Mathematical concept of a function expresses dependence between two quantities one of which is given (the independent variable, argument of the functionIn Mathematics, a composite function represents the application of one function to the results of anotherIn Mathematics, a polynomial is an expression constructed from Variables (also known as indeterminates and Constants using the operationsIn Mathematics, a rational function is any function which can be written as the Ratio of two Polynomial functions Definitions InCircle-trig6svg|300px|thumb|right|All of the Trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O.In Mathematics, trigonometric identities are equalities that involve Trigonometric functions that are true for every single value of the occurring variablesIn Mathematics, a conic section (or just conic) is a Curve obtained by intersecting a cone (more precisely a circular Conical surfaceIn Mathematics, a sequence is an ordered list of objects (or eventsIn Mathematics, a series is often represented as the sum of a Sequence of terms That is a series is represented as a list of numbers with In Mathematics, the binomial theorem is an important Formula giving the expansion of powers of Sums Its simplest version says In Mathematics, parametric equations are a method of defining a curveIn Mathematics, the polar coordinate system is a two-dimensional Coordinate system in which each point on a plane is determined byIn Mathematics, a matrix (plural matrices) is a rectangular table of elements (or entries) which may be Numbers or more generallyMathematical induction is a method of Mathematical proof typically used to establish that a given statement is true of all Natural numbers It is done by proving thatIn Mathematics, the concept of a " limit " is used to describe the Behavior of a function as its argument either "gets close"
Dictionary
precalculus
-noun
A class in school taken before calculus to help students prepare for calculus. |
Winner of the 1983 National Book Award, The Mathematical Experience conveyed the power and beauty of its topic to a broad audience. The study version added exercises and other classroom aids. This softcover edition includes new epilogues by the original authors.
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Complete description
Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding.
This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.
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General info
Publisher & Imprint:
Birkhauser Boston Inc
Edition details
1st Reprint of the 1995 Edition ed. 2012. Updated with Epilogues by the Authors |
AO2: Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.
We have available a large range of activities that can be used for developing some basic concepts in algebra. Students often complain that they cannot see the point of learning algebra so all of the teaching of skills here is placed within contexts. The intention of this unit is not to teach skills in isolation, but rather to use each activity for developing all the concepts. It is not suggested that this unit should replace the skills practice traditionally used in the teaching of algebra. It does, however, provide the opportunities for discussion and development of concepts. As each learning outcome is explored there will probably be need for consolidation through more traditional exercises. With the first activities one will probably not wish to explore all aspects with the whole class, but the possibility is there for extending individuals. It would also be appropriate to use the first activity for diagnostic assessment.
The initial focus of this unit involves students in gathering data from their investigation of squares that can be made on different sized geoboards, (an array of dots arranged on a square grid). Students need to be systematic in their work, and to record their results in ways that are likely to help them notice patterns and relationships.
Techniques for drawing linear graphs are introduced via whole number problem situations where the focus is on the solutions rather than the technique. Only linear equations of the form ax±by=c are graphed by finding two or more points on the line. No attempt is made to link these equations by algebra to the gradient intercept form y=mx+c. |
Mathematics for Physicists, 1st Edition
ISBN10: 0-534-37997-4
ISBN13: 978-0-534-37997-1
AUTHORS: Lea
This essential new text by Dr. Susan Lea will help physics undergraduate and graduate student hone their mathematical skills. Ideal for the one-semester course, MATHEMATICS FOR PHYSICISTS has been extensively class-tested at San Francisco State University--and the response has been enthusiastic from students and instructors alike. Because physics students are often uncomfortable using the mathematical tools that they learned in their undergraduate courses, MATHEMATICS FOR PHYSICISTS provides students with the necessary tools to hone those skills. Lea designed the text specifically for physics students by using physics problems to teach mathematical concepts |
"More than 2 million books sold in the DeMYSTiFieD series! A straightforward, step-by-step approach for fast and fun mastery of everyday math from the trusted DeMYSTiFieD brand"-- Provided by publisher.
A theoretical physicist and author of the controversial best-seller The Trouble with Physics describes his new approach for thinking about the reality of time and explains his theory about the laws of physics not being timeless but rather capable of evolving.
"This book provides a comprehensive review of algebra 2 for advanced high school and junior college students. It includes practice exercises to reinforce concepts and terms reviewed in the book"-- Provided by publisher.
"Ponderables: 100 breakthroughs that changed history. Who did what when"--Cover.
"Includes: Fold-out timeline with over 1000 milestone facts"--Cover.
Introduction -- Prehistory to the Middle Ages -- The Renaissance and the Age of Enlightenment -- New numbers, new theories -- Modern mathematics -- 101 mathematics: a guide -- Imponderables -- The great mathematicians.
Counting, measuring, and calculating are as old as civilization itself, as are many of the theorems and laws of math. This book tells the fascinating stories behind mathematical discoveries. The 12-page foldout timeline sets the saga of mathematics against the backdrop of world history.
Signs of men -- An abstraction from the gabble -- Common beliefs -- Darker by definition -- The axioms -- The greater Euclid -- Visible and invisible proof -- The devil's offer -- The Euclidean Joint Stock Company -- Euclid the great. |
A Journey in Algebraic Thinking
The United States is one of the only countries in the world that is teaching courses with names like Algebra I or Algebra II. The rest of the world, including our colleagues in Canada, teach mathematics, not as separate courses, but as a continuous program from elementary through secondary school. In the United States, some schools offer an alternative, such as an integrated program that incorporates algebra as a strand blended with geometry and other advanced topics. Others continue to offer a course sequence that includes Algebra I, Geometry, and Algebra II. In an increasing number of states, the study of algebra in some form is required of all students for high school graduation. Regardless of whether a school's secondary curriculum includes a separate course in Algebra I or is more integrated, we can take concrete steps to ensure that students will flourish and succeed when they arrive at the formal study of algebra. A key to this success is the development of algebraic thinking as a cohesive thread in the mathematics curriculum from prekindergarten through high school.
Algebraic thinking includes recognizing and analyzing patterns, studying and representing relationships, making generalizations, and analyzing how things change. Of course, facility in using algebraic symbols is an integral part of becoming proficient in applying algebra to solve problems. But trying to understand abstract symbolism without a foundation in thinking algebraically is likely to lead to frustration and failure. Algebraic thinking can begin when students begin their study of mathematics.
At the earliest grades, young children work with patterns. At an early age, children have a natural love of mathematics, and their curiosity is a strong motivator as they try to describe and extend patterns of shapes, colors, sounds, and eventually letters and numbers. And at a young age, children can begin to make generalizations about patterns that seem to be the same or different. This kind of categorizing and generalizing is an important developmental step on the journey toward algebraic thinking.
Throughout the elementary grades, patterns are not only an object of study but a tool as well. As students develop their understanding of numbers, they can use patterns in arrays of dots or objects to help them recognize what 6 is or whether 2 is larger than 3. As they explore and understand addition, subtraction, multiplication, and division, they can look for patterns that help them learn procedures and facts. Patterns in rows and columns of objects help students get a sense of multiplication and see that facts make sense. Patterns within the multiplication table itself are interesting to children and help them both learn their facts and understand relationships among facts. The process of noticing and exploring patterns sets the stage for looking at more complex relationships, including proportionality, in later grades.
As students move into the middle grades, their mathematics experience can focus on connecting their work with numbers and operations to more symbolic work with equations and expressions. At this level, the focus of the mathematics program should be on proportionality, perhaps the most important connecting idea in the entire pre-K–12 mathematics curriculum. This concept should take students well beyond the study of ratios, proportions, and percent. A real understanding of proportionality allows students to connect their experience with numbers and operations to ideas that they have studied in geometry, measurement, and data analysis. They begin to get a sense of how two quantities can be related proportionally, as seen on maps, scale drawings, and similar figures, or in calculating sales tax or commissions.
A solid understanding of proportionality sets the stage for students to succeed in the more formal study of algebra. From this base, notions of linearity and linear functions emerge naturally. As students explore how to use linear functions to solve problems, the bigger world of functions that may not be linear begins to open for them. Looking at what is the same and what is different among functions lies at the heart of understanding algebraic skills and processes.
The journey doesn't end with a student's first formal study of algebra at high school. Continuous development of increasingly sophisticated algebraic reasoning can provide an avenue into the study of geometry and advanced mathematics. In the world outside school, these topics are not separated. When higher-level courses regularly incorporate opportunities to build on students' algebraic understanding, students are far more likely to succeed than if the courses present just one mathematical perspective.
The development of algebraic thinking is a process, not an event. It is something that can be part of a positive, motivating, enriching school mathematics experience. "Developing Algebraic Thinking: A Journey from Preschool to High School" is the Professional Development Focus of the Year for NCTM during the 2004–05 school year. Watch for opportunities to develop your own understanding of this important topic throughout the year, including as part of conferences, journals, publications, and the NCTM Web site.
For this month's questions, consider the following: How can we build algebraic thinking into the pre-K–12 curriculum at all levels? How should secondary school mathematics be organized to capitalize on the inclusion of algebraic thinking throughout the elementary and middle grades? What can NCTM do to support teachers in fostering the development of algebraic thinking? |
Calcul is your calculator and nobody else's: like most other calculator applications, it has a number of function buttons, which perform specific calculations on the number entered or calculated. But unlike in other applications, the buttons in My Calcul can be programmed by you to do exactly the calculations you want. You are free to set the name of each function button and the calculation formula behind it.
The calculation formula behind each button can take several named variables and an unlimited number of parenthesis. In the case of function ft-in>cm, the formula has 2 variables named inches and feet :
Main features of My Calcul :
* the calculation formulae can have up to 255 characters, with an unlimited number of parenthesis and named variables. The last value of each variable is memorized within one session, and it is offered as default value when the same variable is used again, in the same formula or in another formula.
* the following functions are recognized in formulae: log, ln, factorial, sin, cos, tan, acos, asin, atan, cosh, sinh, acosh, asinh. The numbers pi and e are also recognized.
* the calculator can operate in standard algebraic mode or in RPN mode (Reverse Polish Notation).
My Calcul features an equation solver module. When the user loads an equation with n variables (up to 6), the application automatically builds up a table with one line per variable. The table can be used like a small spreadsheet where the user enters values for any sub-set of n-1 variables and let the application calculate the value of the nth variable to solve the equation. Each cell in this special kind of spreadsheet is both an input cell and a calculated cell. This is very useful for all sorts of "what if" type calculations. |
Motivating readers by making maths easier to learn, this work includes complete past exam papers and student-friendly worked solutions which build up to practice questions, for all round exam preparation. It also includes a Live Text CDROM which features fully worked solutions examined step-by-step, and animations for key learning points.
Engineering A Level covers each of the compulsory AS and A2 units from Edexcel in a dedicated chapter. Full coverage is given to the three units required at AS Level, and the 3 additional A2 units required for completion of the A Level award. Students following the GCE courses will find this book essential reading, as it covers all the material they will be following through the duration of their study. Knowledge-check questions and activities are included throughout, along with learning summaries, innovative 'Another View' features, and applied maths integrated alongside the appropriate areas of engineering study. All examples relate directly (and exclusively) to engineering practice, to emphasise application of theory in real-world engineering contexts. for students of a wide range of abilities, especially for those who find the theoretical side of mathematics difficult.
This course aims to provide a basis for Maths for the Artist that says If Id known Maths would have been central to effects and animation I would have paid attention in school! so you can understand the principles and approaches we use maths for everyday in production and post.
This short course hopes to give you all the maths you need for day-to-day life. After completing the course, you should never again have to say either to yourself or to someone else, "I wish I could do that, but I'm no good at figures."
The Chemistry Maths Book provides a complete course companion suitable for students at all levels. All the most useful and important topics are covered, with numerous examples of applications in chemistry and the physical sciences. ...
For some people, the opportunities to use maths in everyday situations are opportunities that are best avoided. This text is aimed at teaching you all the maths you need to know for everyday living including: how to work with numbers; how to change between different types of measurements; understanding fractions, decimals and percentages; how to make sense of simple graphs and tables; and using maths at work, shopping and around the home. Whilst suitable for complete beginners, this book progresses steadily to a more complex level and is also designed to enable parents to help their children with maths problems. Some games and puzzles are included throughout the text.
This course aims to provide a basis for Maths for the Artist that says "If I'd known Maths would have been central to effects and animation I would have paid attention in school!" - so you can understand the principles and approaches we use maths for everyday in production and post. |
Message is for any parent who wants to give A Great Mathematics Education to their middle or high school level child in 2013.
Please forward and share this message with any parent you know who is not already achieving this noble goal.
This will be of special interest to any parent whose child is not thriving on math, or who is struggling teaching their child the standard mathematics curriculum that is offered in virtually all regular math programs and books.
These are short books that can each be read in less than an hour, but don't let that fool you. They can be transformative. These two amazing books explain in depth why a student and/or teacher may be struggling with math, and exactly how to correct and transform the situation.
The first book you should read is entitled "Math? Help! How to Find Interactive, Online Math in Algebra, Geometry & Trigonometry for Teens & Adults" [Kindle Edition]. This is aimed at both the parent and the child or adult wishing to learn math.
The second book you will want to read is entitled: "How to Give Your Child a Great Math Education in Algebra, Geometry & Trigonometry" [Kindle Edition]. This book is aimed at the parent/teacher specifically.
These books are authored by Dr. Craig Hane, a long time successful math teacher you may learn all about at Dr. Hane's mission or "crusade" is to be sure any student is given a post-elementary mathematics education that is appropriate for the child, and that the child be very successful. He knows how this can be done, and shares this insight with you in these two books we are giving you.
After reading these two books, you will be invited to engage in a longer term relationship with Dr. Hane by joining his Matheracy Crusade, and benefiting from many free materials he will share with you and then possibly buy some amazing mathematics educational resources he has created. But, not until you understand the situation we are all in thoroughly, which you will after reading these two books.
So, please pass this along to any parent who is not completely satisfied with the mathematics program they are delivering their middle or high school level child, and wants to be more than satisfied. |
Representations of finite groups. Characters, orthogonality of the characters of irreducible representations, a ring of representations. Induced representations, Artin's theorem,
Brauer's theorem. Representations of compact groups and the Peter-Weyl theorem. Lie groups, examples of Lie groups, representations and characters of Lie group. Lie algebras
associated with Lie groups. Applications of the group representations in algebra and physics. Elements of algebraic geometry.
Number Theory
Introduction to elementary methods of number theory. Topics: arithmetic functions, congruences, the prime number theorem, primes in arithmetic progression, quadratic reciprocity,
the arithmetic of number fields, approximations and transcendence theory, p-adic numbers, diophantine equations of degree 2 and 3.
Cryptography
The primary focus of this course is on definitions and constructions of various cryptographic objects, such as pseudorandom generators, encryption schemes, digital signature
schemes, message authentication codes, block ciphers, and others time permitting. The class tries to understand what security properties are desirable in such objects, how to
properly define these properties, and how to design objects that satisfy them. Once a good definition is established for a particular object, the emphasis will be on
constructing examples that provably satisfy the definition. Thus, a main prerequisite of this course is mathematical maturity and a certain comfort level with proofs. Secondary
topics, covered only briefly, are current cryptographic practice and the history of cryptography and cryptanalysis.
Topology
After introducing metric and general topological spaces, the emphasis will be on the algebraic topology of manifolds and cell complexes. Elements of algebraic topology to be
covered include fundamental groups and covering spaces, homotopy and the degree of maps and its applications. Some differential topology will be introduced including
transversality and intersection theory. Some examples will be taken from knot theory. Homology and cohomology from simplicial, singular, cellular, axiomatic and differential
form viewpoints. Axiomatic characterizations and applications to geometrical problems of embedding and fixed points. Manifolds and Poincare duality. Products and ring
structures. Vector bundles, tangent bundles, De Rham cohomology and differential forms.
Advanced Topics in Geometry
Asymptotic geometry is concerned with properties of metric spaces which are insensitive to small-scale structure. It is a well-known theme in many areas of mathematics, such
as the geometry of Riemannian manifolds or singular spaces, geometric group theory, the theory of discrete subgroups of Lie groups, geometric topology (especially 3-manifolds),
graph theory, and recently in theoretical computer science. The course will begin with asymptotic invariants such as growth rates, isoperimetric inequalities, coarse
topology, and boundaries, followed by a discussion of Mostow rigidity and variants. Subsequent topics will chosen according to the interests of the audience.
Analysis
Functions of one variable: rigorous treatment of limits and continuity. Derivatives. Riemann integral. Taylor series. Convergence of infinite series and integrals.
Absolute and uniform convergence. Infinite series of functions. Fourier series. Functions of several variables and their derivatives. Topology of Euclidean spaces.
The implicit function theorem, optimization and Lagrange multipliers. Line integrals, multiple integrals, theorems of Gauss, Stokes, and Green.
Functional Analysis
The course will concentrate on concrete aspects of the subject and on the spaces most commonly used in practice such as Lp(1<= p <= ?), C, C?, and their duals. Working
knowledge of Lebesgue measure and integral is expected. Special attention to Hilbert space (L2, Hardy spaces, Sobolev spaces, etc.), to the general spectral theorem there,
and to its application to ordinary and partial differential equations. Fourier series and integrals in that setting. Compact operators and Fredholm determinants with an
application or two. Introduction to measure/volume in infinite-dimensional spaces (Brownian motion). Some indications about non-linear analysis in an infinite-dimensional
setting. General theme: How does ordinary linear algebra and calculus extend to d=? dimensions?
This course will cover fundamental methods that are essential for numerical solution of differential equations. It is intended for students familiar with ODE and PDE and
interested in numerical computing; computer programming assignments form an essential part of the course. The course will introduce students to numerical methods for (1)
nonlinear equations, Newton's method; (2) ordinary differential equations, Runge-Kutta and multistep methods, convergence and stability; (3) finite difference and ;finite
element methods; (4) fast solvers, multigrid method; (5) parabolic and hyperbolic partial differential equations.
System Optimization Methods
Formulations of System Optimization problems; Elements of
Functional Analysis Applied to System Optimization; Local and
Global system optimization with and without constraints;
Variational methods, calculus of variations, and linear,
nonlinear and dynamic programming iterative methods; Examples
and applications; Newton and Lagrange multiplier algorithms,
convergence analysis.
Mechatronics
Introduction to Theoretical and Applied Mechatronics, design and
operation of Mechatronics systems; Mechanical, Electrical,
Electronic, and Opto-electronic components; Sensors and
Actuators including signal conditioning and Power Electronics;
Microcontrollers--fundamentals, Programming, and Interfacing;
and Feedback control. Includes structured and term projects in
the design and development of proto-type integrated Mechatronic
systems. |
Use the multiplication property of probability for these problems. In Problem
48 also use the property of complements.
Problems 47-48
These are both lengthy, but important problems.
Take your time working through the various parts, as shown in Example 7.
Problems 49-50
Build a tree diagram as shown in Example 8.
Note: Homework Hints are given
only for the Level 1 and Level 2 problems.
However, as you go through the book be sure you look at
all the examples in the text. If you need hints for the
Level 3 problems, check some sources for help on the internet
(see the LINKS for that particular section. As a last resort,
you can call the author at (707) 829-0606.
On the other hand, the problems designated "Problem Solving"
generally require techniques that do not have textbook examples.
There are many sources for homework help on the internet.
Algebra.help
Here is a site where technology meets mathematics. You can
search a particular topic or choose lessons, calculators,
worksheets for extra practice or other resources.
Ask Dr. Math
Dr. Math is a registered trademark. This is an excellent site
at which you can search to see if your question has been previously
asked, or you can send your question directly to Dr. Math
to receive an answer.
Quick Math
This site provides online graphing calculators. This is especially
useful if you do not have your own calculator.
The Math Forum @ Drexel
This site provides an internet mathematics library that
can help if you need extra help. For additional homework
help at this site, click one of the links in the right-hand
column. |
Get to know your calculator early in any math course. Calculators are used for most routine arithmetic calculations now, and your ability to use a calculator will help to complete work accurately and efficiently.
While calculators come in many different makes and model numbers, most of them operate in similar manners. The notes here are specifically intended to assist you in becoming familiar with the Texas Instruments' TI-30X or TI-30Xa, but you should find the same function keys on many other scientific calculator.
For most algebra courses, you will need a scientific calculator. A scientific calculator includes functions for LOG, LN, and exponents, among other useful keys. It also performs arithmetic according to the Order of Operations (a calculator with only the arithmetic operations +, -,, and ¸ probably performs operations sequentially and is not useful for any advanced mathematical work). The TI-30X calculators are scientific calculators.
Do not worry if there are several keys you don't understand right now. This calculator will serve you well throughout your math courses, even to Calculus and beyond. Anytime you learn some new mathematics, try to learn how to use your calculator to go with it.
Basic key operations
ON:
Know how to turn your calculator on and off (the solar model has no OFF; there are no batteries to conserve). Some calculators have an automatic shut off if not used for a few minutes. On the TI-30X, the ON button is the top right key. This is also the All Clear (AC) button, which effectively gives you a clean slate to work with. AC clears the screen to "0", clears all memories, and turns off special features (like statistical mode). Use AC only when you want a fresh start. Avoid using AC in the middle of an exercise.
AC/ON
2nd
DRG
LOG
LN
CE/C
HYP
SIN
COS
TAN
yx
p
1/x
x2
S
+
EE
(
)
¸
STO
7
8
9
´
RCL
4
5
6
-
a
b/c
1
2
3
+
®
0
.
+/-
=
Primary functions:
Every key has a number, operation or function name printed on top of the button. This is the primary function for that key. These are likely the ones you will use most often. The primary functions are grouped, more or less, according to purpose.
Numeric keys
These are the keys for entering numbers digit-by-digit. Use the key for entering a number with a decimal point, like 2.57. Use the key to change the sign of a number from positive to negative, or vice versa. This is most useful for entering negative numbers: simply type in the number, then press to make it negative. It is important to use the negative sign after typing the number, because -0 is just 0.
Arithmetic Operations
¸
´
-
+
=
These are the basic operations of (from top to bottom) division, multiplication, subtraction, and addition. These may be typed in the order written in an exercise, and the calculator will automatically perform the entire calculation according to the required order of operations once the key is pressed. Use the key only at the end of your calculation, and press it exactly once (no more).
Note that multiplication may be written with the symbols * or × as well as ´ . Multiplication may also be written with no symbol between numbers or parentheses; be sure to type in this case. Likewise, division may be written as ¸ or /. A fraction bar also indicates division.
Include parentheses (as written) in any arithmetic exercise. The parentheses keys may be used for any pair of grouping symbols, including "(...)" or "[...]" or "{...}". Type the parentheses just as they appear in your exercise. You may also need parentheses at times when they are not shown. For example, a fraction with more than just a number in the numerator or denominator may be enclosed in parentheses for quick entry. Try to compute by typing .
(
)
The correct answer is 7.
Error correction Keys
As described earlier, the button clears all previous entries and settings. Use this key when you start, but rarely afterwards. In the middle of calculations, is a better option. Pressed once, this key means "Clear Error". Use it to correct an incorrect number as you type during a longer entry. For example, suppose you are trying to calculate 28 (16) + 42, and you typed (but you notice this should have been 16, not 26). Press once to clear just the last number entry. Then type in the correct entry and the rest of the calculation: . You should get the answer 490.
If you typed well beyond the mistake, then press twice (to activate "Clear"). This clears the entire calculation from the screen, so you can start over. For example, in the above calculation, suppose you typed before noticing that the 26 should have been 16. Press and start over: .
®
One other option (and a good one), is to make use of the backspace key. This key erases only the last digit typed. Press it once or more to get back to the mistaken digit, and then resume your calculation. Having typed , press the backspace twice, then continue with 16 to get the correct answer. Note that the backspace will only erase digits, not operations.
1/x
x2
yx
Exponent and Root Keys
Your calculator also has keys for performing any exponent calculations. The simplest of these is perhaps the key, which squares the number currently displayed on the screen. Enter the base number first, then press . The result is displayed immediately. Try 92 by typing ; the answer is 81. Try 162 on your own (the answer is 256).
The opposite of squaring is the square root. gives the square root of the number currently displayed on the screen. Try out and .
gives the reciprocal of the number on the screen. Literally, this is 1 divided by x. Mathematically, 1/x is also the same as x-1. On some calculators, the key is . For example, to quickly change 1/200 to a decimal, type . The screen will show 0.005. Likewise, to find 50-1, type to get 0.02.
Finally, the calculator also has a key for doing more general exponents (all three of the above can be done with the exponent key, but they have special easy to use buttons because they are so commonly used). The exponent key is (find it just above the division key). Essentially, pressing this key tells the calculator that the next number you input will be an exponent for the number already on the screen. One nice feature is that the exponent can be any possible number (integer, fraction, decimal, or even another calculation enclosed in parentheses). Always enter the base number first, followed by the exponent key, and then the exponent. Press the key after entering the exponent (or continue the rest of the calculation if there is more). For example, find 210 by typing (the answer is 1024). To compute 0.2-3 type (answer is 125). Note that the negative exponent is entered by typing 3 followed by the key.
Memory Keys
STO
RCL
The memory keys allow you to save up to three different numbers for later use. To save the number currently on the display, type . This "stores" the value in memory cell 1 (replace with or to use memories 2 or 3, respectively). To "recall" a number stored in memory cell 1, use . To try this out, let's compute x2 - 17x + 5, using the memory cell 1 for x when x = -3.217. First enter the number, change the sign to negative, and store it in cell 1 as follows: . Then type in the computation, using for each occurrence of the variable x:
Do not forget to include the "times" symbol between "17" and "x" in the middle term. The answer displayed should be 70.038089.
By substituting or for after , you can use up to three values for use in a single calculation. The memory cells are especially useful if you have a lengthy number (avoid copying and retyping) or if you expect to use the same number several times.
a b/c
The Fraction Key
Perhaps one of the nicest features of this particular calculator is its ability to work fraction arithmetic. When properly entered, the calculator will use fractions correctly in any calculation. First, you need to know how to enter a fraction.
Single fraction: Enter the numerator (top number), press the fraction key , then enter the denominator (bottom number). So the fraction is entered as . The calculator displays the fraction something like .
Mixed numbers: Use the fraction key twice. The mixed number is entered as . In short, simply press the fraction key between each number in a fraction or mixed number. Your calculator knows the difference. The mixed number is displayed as .
Now you are ready to use fractions in other calculations. Simply enter the fraction wherever it appears as you continue typing the entire calculation. For example, try computing by entering the following sequence:
The answer will be displayed as a fraction or a mixed number (if more than 1). In this case, you should get , which means .
Secondary Functions and the Key.
You have probably noticed by now that the calculator also has writing just above each key. To save space, the calculator was made so that each key can perform two separate functions. The primary function is labeled directly on the key as is used simply by pressing the desired key (everything we have discussed so far is a primary function). To activate a secondary function, first press and then the key below the name of the desired function. A few commonly used secondary functions are, , and .
finds roots of any index. This is really just the opposite of the exponent key. Enter the number under the radical, press the key, then enter the index of the root. Press if finished, or continue the calculation. To compute , enter . Note that the key changes the meaning of the key to . You should get 12 for the answer.
Above the fraction key is the improper fraction function . This is nice for converting a mixed number into a pure fraction (although called improper, a single fraction with any numerator and denominator is usually easier to use in algebraic expressions than the equivalent mixed number). In the section on fractions, we did a calculation that gave the answer . This can be converted to a pure fraction by pressing , which activates the secondary function and displays the fraction . Written as a fraction rather than a mixed number, the answer is .
Another related secondary function is , above the backspace key. The label stands for Fraction-to-Decimal. By pressing this key, any fraction on the displayed will be changed to its decimal form. If the display is a decimal number, the calculator will try to write the number as a fraction, but this is not always possible. So if the decimal number remains, then there is no simple equivalent fraction (remember that the calculator can only do fractions with 3-digit numbers). For example, convert to a decimal just by pressing . You should see 4.6 on the display. Press again to change the answer back to fraction form (you get because the calculator prefers mixed number form). Press to get back to the pure fraction form .
DRG
LOG
LN
HYP
SIN
COS
TAN
Most everything else
are keys you won't be needing until a College Algebra or Calculus course or beyond. You will learn about the keys for the logarithmic and trigonometric functions later. Most of the secondary function keys are used for probability and statistics.
Calculator Exercises
Use a calculator to compute each of the following. When the answer is a fraction, give the answer in (a) mixed number form and (b) fraction from. |
Meta
Posted by Derek Ashland on May 21st, 2013 11:45 AM ...
Posted by Derek Ashland on May 13th, 2013 11:52 PM |
Modern Algebra: An Introduction By John R. Durbin
Engineers and computer scientists who need a basic understanding of algebra will benefit from this accessible book. The sixth edition includes many carefully worked examples and proofs to guide them through abstract algebra ...
Posted by Derek Ashland on May 8th, 2013 11:45 AM |
Easy Algebra Step-by-Step By Sandra Luna McCune
The quickest route to learning a subject is through a solid grounding in the basics. So what you won't find in Easy Algebra Step-by-Step is a lot of endless drills. Instead, you get ...
Posted by Derek Ashland on April 18th, 2013 11:46 AM |
Mathematical Models for Systems Reliability By Benjamin Epstein
Evolved from the lectures of a recognized pioneer in developing the theory of reliability, Mathematical Models for Systems Reliability provides a rigorous treatment of the required probability background for understanding reliability theory.
This classroom-tested ...
Posted by Derek Ashland on April 15th, 2013 11:44 PM |
A First Course in Finite Elements By Jacob Fish
Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed ...
Posted by Derek Ashland on March 20th, 2013 11:45 PM |
Areas and Logarithms By A. I. Markushevich
Understanding the material in this book will require that the reader have an understanding of the basics of the definite integral. It begins with determining the areas under simple curves such as the parabola ...
Posted by Derek Ashland on March 18th, 2013 11:48 PM |
The Mathematical Brain By Brian Butterworth
At first glance, neuropsychologist Brian Butterworth's The Mathematical Brain might infuriate mathsphobes who insist that they just can't get a handle on numbers. Could it be true that natural selection produced brains preprogrammed with multiplication ...
Posted by Derek Ashland on February 5th, 2013 11:47 AM |
A Treatise on Solid Geometry By Percival Frost,Joseph Wolstenholme
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of ...
Posted by Derek Ashland on January 31st, 2013 11:44 AM |
Applied Singular Integral Equations By B. N. Mandal
The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as ...
Posted by Derek Ashland on January 8th, 2013 11:46 PM |
Variable-length Codes for Data Compression , 1st Edition By David Salomon
Most data compression methods that are based on variable-length codes employ the Huffman or Golomb codes. However, there are a large number of less-known codes that have useful properties and ... |
The seventh edition of this classic text has retained the features that make it popular, while updating its treatment and inclusion of Computer Algebra Systems and Programming Languages. Interesting and timely applications motivate and enhance readers' understanding of methods and analysis of results. This text incorporates a balance of theory with techniques and applications, including optional theory-based sections in each chapter. The exercise sets include additional challenging problems and projects which show practical applications of the material. Also, sections which discuss the use of computer algebra systems such as Maple®, Mathematica®, and MATLAB®, facilitate the integration of technology in the course. Furthermore, the text incorporates programming material in both FORTRAN and C. The breadth of topics, such as partial differential equations, systems of nonlinear equations, and matrix algebra, provide comprehensive and flexible coverage of all aspects of numerical analysis.
This is a thoroughly revised edition of a classic basic statistics text, ideal for students with a good mathematics background who are starting to learn statistics. This fourth edition includes a chapter on multiple regression, has additional material on acceptance sampling, and places greater emphasis on graphical methods of data analysis. Like earlier editions, it is packed with examples, exercises, and larger projects, including plenty of computing exercises in Minitab. [via]
S-PLUS is a powerful tool for interactive data analysis, creating graphs, and implementing customized routines. Originating as the S language of AT&T Bell Laboratories, its modern language and flexibility make it appealing to data analysts from many scientific fields. This book explains the basics of S-PLUS in a clear style at a level suitable for people with little computing or statistical knowledge. Unlike the S-PLUS manuals, it is not comprehensive, but instead introduces the most important ideas of S-PLUS through the use of many examples. Each chapter also includes a collection of exercises which are accompanied by fully worked-out solutions and detailed comments. The volume is rounded off with practical hints on how efficient work can be performed in S-PLUS. The book is well-suited for self-study and as a textbook. [via]
Nicholas Lemann's The Big Test starts off as a look at how the SAT became an integral part of the college application process by telling the stories of men like Henry Chauncey and James Bryant Conant of Harvard University, who sought in the 1930s and '40s to expand their student base beyond the offspring of Brahmin alumni. When they went into the public schools of the Midwest to recruit, standardized testing gave them the means to select which lucky students would be deemed most suitable for an Ivy League education. But about a third of the way through the book, Lemann shifts gears and writes about several college students from the late '60s and early '70s. The reasons for the change-up only become clear in the final third, when those same college students, now in their 40s, lead the fight against California's Proposition 209, a 1996 ballot initiative aimed at eliminating affirmative action programs.
Do these two stories really belong together? For all his storytelling abilities--and they are prodigious--Lemann is not entirely persuasive on this point, especially when he identifies the crucial moment in the civil rights era when "affirmative action evolved as a low-cost patch solution to the enormous problem of improving the lot of American Negroes, who had an ongoing, long-standing tradition of deeply inferior education; at the same time American society was changing so as to make educational performance the basis for individual advancement." Lemann's muddled transition is somewhat obscured by frequent digressions (every new character gets a lengthy background introduction), but a crucial point gets lost in the shuffle, only to reappear fleetingly at the conclusion: "The right fight to be in was the fight to make sure that everybody got a good education," Lemann writes, not to continue to prop up a system that creates one set of standards for privileged students and another set for the less privileged. If The Big Test had focused on that issue, where equal opportunity is genuinely at stake, instead of on the roots of standardized testing, where opportunity was explicitly intended only for a chosen few, it would be a substantially different book--one with a story that almost assuredly could be told as engrossingly as the story Lemann chose to tell, but perhaps with a sharper focus. --Ron Hogan[via]
More editions of The Big Test: The Secret History of the American Meritocracy:
George Thomas' clear precise calculus text with superior applications defined the modern-day calculus course. This proven text gives students the solid base of material they will need to succeed in math, science, and engineering programs. [via]
The Princeton Review realizes that scoring high on the AP Statistics Exam is very different from earning straight As in school. We dont try to teach you everything there is to know about statisticsonly the strategies and information youll need to get your highest score. In Cracking the AP Statistics Exam, well teach you how to
·Use our preparation strategies and test-taking techniques to raise your score ·Focus on the topics most likely to appear on the test ·Test your knowledge with review questions for each statistics topic covered
This book includes 2 full-length practice AP Statistics tests. All of our practice questions are just like those youll see on the actual exam, and we explain how to answer every question. [via]The study of copulas and their role in statistics is a new but vigorously growing field. In this book the student or practitioner of statistics and probability will find discussions of the fundamental properties of copulas and some of their primary applications. The applications include the study of dependence and measures of association, and the construction of families of bivariate distributions. This book is suitable as a text or for self-study. [via]
Econometrics has moved from a specialized mathematical description of economics to an applied interpretation based on empirical research techniques - and the modern approach of this innovative book is proof. Introductory Econometrics bridges the gap between the mechanics of econometrics and modern applications of econometrics by employing a systematic approach motivated by the major problems currently facing applied researchers. Offering a solid foundation for social science research, the book provides important knowledge used for empirical work and carrying out research projects in a variety of fields. [via]
The Jackknife and bootstrap are the most popular data-resampling methods used in statistical analysis. This book provides a systematic introduction to the theory of the jackknife, bootstrap and other resampling methods that have been developed in the last twenty years. It aims to provide a guide to using these methods which will enable applied statisticians to feel comfortable in applying them to data in their own research. The authors have included examples of applying these methods in various applications in both the independent and identically distributed (iid) case and in more complicated cases with non-iid data sets. Readers are assumed to have a reasonable knowledge of mathematical statistics and so this will be made suitable reading for graduate students, researchers and practitioners seeking a wide-ranging survey of this important area of statistical theory and application. [via]
The development of statistical theory in the past fifty years is faithfully reflected in the history of the late Sir Maurice Kendalls volumes The Advanced Theory of Statistics. The Advanced Theory began life as a two volume work (Volume 1, 1943; Volume 2, 1946) and grew steadily, as a single authored work until the late fifties. At that point Alan Stuart became involved and the Advanced Theory was rewritten in three volumes. When Keith Ord joined in the early eighties, Volume 3 became the largest and plans were developed to expand it into a series of monographs called the Kendall's Library of Statistics which would devote a book to each of the modern developments in statistics. This series is well on the way with 5 titles in print and a further 7 on the way. A new volume on Bayesian Inference was also commissioned from Tony O'Hagan and published in 1994 as Volume 2B of the Advanced Theory. This Volume 2A is therefore the completely updated Volume 2 - Classical Inference and Relationship. A new author, Steven Arnold, was invited to join Keith Ord and they have between them produced a work of the highest quality. References have been updated and material revised throughout. A new chapter on the linear model and least squares estimation has been added. [via]
More editions of Kendall's Advanced Theory of Statistics: Classical Inference and and the Linear Model:
Emory University, Atlanta, Georgia. Statistics in the Health Sciences Series. Programmed text on this particular mathematical model for students in epidemiology, or for practitioners unfamiliar with statistical methods. [via][via]
What mathematics should be learned by today's young people, as well as tomorrow's workforce? "On the Shoulders of Giants" [via]
More editions of On the Shoulders of Giants: New Approaches to Numeracy:Here is a unified, readable introduction to multipredictor regression methods in biostatistics, including linear models for continuous outcomes, logistic models for binary outcomes, the Cox model for right-censored survival times, and generalized linear models for counts and other outcomes. The authors describe shared elements in methods for selecting, estimating, checking, and interpreting each model, and show that these regression methods deal with confounding, mediation, and interaction of causal effects in essentially the same wayThis book introduces you to the study of statistics and data analysis by using real data and attention-grabbing examples. The authors guide you through an intuition-based learning process that stresses interpretation and communication of statistical information. They help you grasp concepts and cement your comprehension by using simple notation-frequently substituting words for symbols. [via]
This book is written for the introductory statistics course and students majoring in any field. It is written in an approachable, informal style that invites students to think about how to reason when data is available. Stats: Data and Models (SDM), as compared to Intro Stats, offers Math Boxes, which present the mathematical underpinnings of the statistical methods and concepts, and advanced topics (Ch. 28-31) that are often covered in a two-semester course, plus the inclusion of non-parametrics. SDM carries a core focus on statistical thinking and understanding analyses throughout the text, emphasizing how statistics helps us to understand the world. The book also recognizes the central role that technology plays in statistics. SDM is organized into short teachable chapters that focus on one topic at a time, offering instructors flexibility in selecting topics while students receive digestible chunks of information that build on previous material before moving on. [via]
Designed for medical students, junior doctors, practising physicians, and indeed anyone who reads medical literature, this book acts as a guide to how to read and digest the information presented in medical literature. [via]
More editions of Studying a Study and Testing a Test: How to Read the Health Science Literature:
Twentieth-Century British Political Facts is the definitive record of the who, the what and the when of British political history in the 1900s, providing reliable information which could not otherwise be found without many hours of digging in a library. Refined and updated since the seventh edition, this unique work has become as standard reference book for scholars, journalists, politicians, civil servants, students and all readers with an interest in political history.
Scientists have recently discovered a new law of nature. Its footprints are virtually everywhere - in the spread of forest fires, mass extinctions, traffic jams, earthquakes, stock-market fluctuations, the rise and fall of nations, and even trends in fashion, music and art. Wherever we look, the world is modelled on a simple template: like a steep pile of sand, it is poised on the brink of instability, with avalanches - in events, ideas or whatever - following a universal pattern of change. This remarkable discovery heralds what Mark Buchanan calls the new science of 'ubiquity', a science whose secret lies in the stuff of the everyday world. Combining literary flair with scientific rigour, this enthralling book documents the coming revolution by telling the story of the researchers' exploration of the law, their ingenious work and unexpected insights. Mark Buchanan reveals how the principle of ubiquity will help us to manage, control and predict the future. More controversially, he claims that it may well contain the beginnings of a mathematics of cultural and historical change. Every decade sees a major scientific breakthrough that has implications that go way beyond science. 'Ubiquity' is one of them. This book, the world's first on the topic, will change how we think about the world and our place in it. Chaos Disorder from order. Complexity Complexity from simplicity. UBIQUITY World has a natural 'rhythm': there is a mysterious archetypal organisation that works in the world at all levels and which gives rise to a universal pattern of change - in groups of people, things or ideas. [via]
More editions of Ubiquity: The Science of History . . . or Why the World Is Simpler Than We Think:
Readers of medical literature are often overwhelmed by the language of statistics and research methodology while trying to extract the best clinical evidence available. 'A-Z of Medical Statistics' is an essential medical statistics dictionary for non-statisticians, and is therefore an invaluable companion for reading medical literature and critically appraising what is read.Statistics and research methods explained in the book's user-friendly A - Z format allow the reader to locate the information required and avoid the time-consuming process of scanning through whole chapters for relevant information. The book provides clear and succinct explanations of those terms frequently encountered in medical statistics, clarifying their meaning and showing the inter-dependency between various important concepts. [via]
More editions of A-z of Medical Statistics: A Companion for Critical Appraisal: |
Math
Dr. Richard Newcomb, Head of Department
School mathematics should engage students in real mathematics. This view is at the center of the teaching and learning of mathematics at Cistercian. Every departmental course at Cistercian seeks to engage our students in both formal and informal modes of mathematical reasoning. The journey from arithmetic to calculus begins with Cistercian's Middle School mathematics curriculum. The focus here is first on developing the students' understanding of rational arithmetic and basic geometry. The second two years of the Middle School are considered together as serving the purpose of introducing algebra into the treatment of both arithmetic and geometry.
Mathematics in the Upper School begins with Euclid's geometry. Students need to learn geometry, not only because it is indispensable for all of applied mathematics, engineering, architecture, physics, and calculus, but even more importantly because it has simply speaking set the standard that any piece of reasoning must meet to be called a branch of mathematics. Forms VI and VII are a continuation of the earlier forms but the weaving of geometry and algebra is now more complete. Cistercian's mathematics curriculum culminates in Form VIII with a yearlong calculus course taught at the college level with a selection of material which also allows willing students to take the Advanced Placement exams in calculus.
At the same time, topics from discrete mathematics such as counting and probability are important and are included in each required course. Moreover, students wishing to delve deeper into these topics can take advantage of various mathematics electives in the Upper School as well as join Cistercian's Math Club or one of our many math teams.
Department Faculty:
Dr. Richard T. Newcomb II, Head of Department Ph.D. University of Wisconsin at Madison, Madison, WI B.A. University of Chicago, Chicago, IL |
This course provides students with the foundation in arithmetic that is NECESSARY for a study of MATH 002: Introductory Algebra. It includes whole number concepts, fractions, decimals, percents, ratios & proportions, signed numbers, and an introduction to algebra.
I am NOT teaching any sections of MATH 001 this semester. While the notes are not available, please feel free to browse the syllabus from the most current semester that I have taught the class. The Previous Semesters section contains all the homework assignments and practice exams for all of the semesters that I have taught the class. |
Your One Stop Center!
So you want to train your Math Monkey to obey your commands huh.
well, you can start with the Basics or if you know what you're looking for, chose from our many subject areas.
We've also included what we think is most important for each level of High School mathamatics. A note on graphing calculators |
An introduction to the analysis of counting problems.Topics include
permutations, combinations, binomial coefficients, inclusion/exclusion
principle, and partitions.The nature of
the subject allows questions to be posed in everyday language while still
developing sophisticated mathematical concepts.
Who Should be Taking This Course
This
course is designed as a possible choice for students who are looking for a
course to satisfy the mathematics distribution requirement or for students who
are not mathematics majors but have an interest in the topic of combinatorics.Math
100 (Basic Algebra) is a prerequisite for this course; students who do not
satisfy this prerequisite will have their names removed from the roster. *
321-4288
*You
may of course email your instructor for an appointment at other times
Tutoring
General
Tutoring is available for
students who want to check homework answers for errors, get help doing
homework, and ask questions about class work.While tutors may need to give some detailed explanations to help
students with questions, it is not the tutors' job to teach material from
scratch.(Students who miss class
should get a copy of class notes from the instructor, from a tutor, or from a
classmate.It is then the student's
responsibility to review the material, update notes, and direct any questions
to a tutor, the instructor, or a classmate.)
Individualized
Tutoring is available for any
student who needs more help than an instructor or tutor can provide.Students desiring individualized tutoring can
visit the Academic Resource Center on the third floor of the Snowden Library,
and speak with Shanna Wheeler. 2 or 3 other homework assignments are missed; homework exercises
not submitted should be completed for practice and answered checked with a
tutor or the instructor.At the end of each class, the assignment due for the following class is announced and
is posted in red the course schedule.A student who misses submitting more than
15Quizzes
Points
from quizzes given in class are added, up to a maximum total of 200.No missed quizzes can be made up for any
reason.Students who miss no more than
2 quizzes can still earn the maximum 200 points.Quiz dates are available from the course schedule 1200 = 90%
to three-ring binder with a section containing a copy of
this syllabus together with the course schedule and tutor schedule, and a
section containing the textbook.(Since
students will need to use this binder every day in class, it should be kept
up-to-date and complete; also, many of the exercises assigned both in and out
of class will refer back to work done in one or more previous exercises.)
·a calculator
which can which can perform basic mathematical operations review exercises, and
start working on these about a week before the exam date - don't wait for the
night before the exam.
(3)
Get your questions answered quickly by a tutor, a course instructor, or a
classmate.If you feel you need more
personalized assistance, go to the Individualized Tutoring link and
arrange for private tutoring.
(4)
Keep your binder up-to-date and well-organized
concise; handwriting must be legible.If
the instructor, work on something else and show the problem to one of the
instructors of the course as soon as possible. |
A course designed to develop the skills and understanding contained in the first year of secondary school algebra. Topics include review of operations on real numbers, graphing linear equations, solving linear and quadratic equations, solving systems of linear equations, operations on polynomials including division of polynomials, use of negative exponents, operations using scientific notation, factoring, and applications.
This course is not for college-level credit. Prerequisites: C or better in MATD 0330 or its equivalent knowledge, or appropriate score on the ACC Mathematics Assessment Test taken before enrolling in ACC mathematics courses. Course Type: D |
Algebra 1: Guia De Estudio En Espanol (Spanish Study Guide)
About this title: Algebra success for allBasic concepts and properties of algebra are introduced early to prepare students for equation solving. Abundant exercises graded by difficulty level address a wide range of student abilities. The Basic Algebra Planning Guide assures that even the at-risk student can acquire course content.Multiple representations of conceptsConcepts and skills are introduced algebraically, graphically, numerically, and verbally-often in the same lesson to help students make the connection and to address diverse |
Solve Math Problems
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Solve Math Problems To solve Math problems quickly and accurately you need an understanding of various math concepts and solving math problems is not an easy task. TutorVista has a team of expert online Math tutors to help you understand Math problems online and find out how to get solutions for them. Our tutors work with you in learning basic to advanced topics. So we assure you complete learning to solve math problems online. Learn More about 4th grade math
Math Problems made Easy One of the biggest problems in math that students encounter is solving word problems. Word Problems occur in every topic and every grade. Be it fractions, algebra, geometry or calculus, there are always word problems. Get math problem solver online now. Try our free math problems online help demo and interact with our expert math tutors. Students can check out the algebra word problems page. Solving Math problems is not easy! A lot of students have difficulty with Math questions. But, employing some of these techniques will help you to solve Math problems easily : The following steps are generally followed to solve Math problems: Read it carefully - Math problem solving involves reading the problem slowly and carefully, in order to understand what is to be solved. At times, you miss out important information when you give it a quick reading. Read More on 6th grade math
Help with Math Topics TutorVista's expert tutors will make solving problems very easy. Our expert tutors will work with you in a personalized one-on-one environment to help you understand Math questions better, thereby, ensuring that you are able to solve the problems. Solve problems in topics like: * Algebra * Geometry * Calculus * Pre-Algebra * Trigonometry * Discrete Mathematics Students frequently need help with fractions, solving algebra expressions, geometry problems, equations, ratios, probability and statistics measurements and calculus. Each of these topics has its own approach for solving problems. TutorVista's online tutoring in math can help students understand the methods for solving problems in each of these categories. Read More on 8th grade math |
Bootstrap teaches students to program their own video games in an algebraic programming language, exposing them to key math concepts. Middle- and high-school teachers around the country have implemented the curriculum as a one-month module, a weekly activity or an after school program.
In Bootstrap, Your Students will Practice and Apply
Solving word problems
Coordinate planes and Graphing
Functions and Variables
Function Composition
Inequalities in the Plane
The Pythagorean Theorem
In this Workshop, You Will:
Participate in a real classroom demonstration of the curriculum
Build your own video game, using the math you already know
Learn how Texas' and the new Common Core Math Standards can be met through a STEM-focused programming curriculum
Explore cutting-edge research on algebra education
About Bootstrap
Bootstrap is a free curriculum that reaches hundreds of students a year in states around the country, and has been recognized by the National Science Foundation, Google, and Microsoft. The software is free and cloud-based: if you have a modern browser, you already have everything you need!
Acknowledgments
We gratefully acknowledge the support over the years of our sponsors. Any opinions, findings, conclusions or recommendations expressed in this website are those of the authors and do not necessarily reflect the views of our sponsors.
Contact us
Feel free to contact us with your questions and comments about our published work. If you would like to tour our lab and the beautiful campus of University of Houston, we can definitely arrange it. Our contact information. |
This comprehensive study guide will help Grd. 12 learners to understand and master all the basic concepts and procedures required for the matric Mathematics examinations. It contains many exercises (with complete solutions) which enable learners to apply these concepts and skills in various contexts. The book follows a simple approach, dealing with one Learning Outcome at a time, explaining and providing examples and exercises about all the compulsory topics, such as Logarithms; Patterns, Sequences and Series; Financial Mathematics; Functions and their Inverses; Linear Programming; Remainder and Factor Theorem; Differential Calculus: Theory and tangent to curves, Graphs, Rate of change, Maximum and Minimum values; Trigonometry: Identities and Equations (compound and double angles) and Solving 2-D and 3-D Triangles; Coordinate Geometry (Analytical Geometry) and Transformation Geometry. |
IIT Foundation MATHEMATICS Class 9300 Our Price:165 You Save: 135
(45%)
In Stock.
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IIT Foundation MATHEMATICS Class 9 Book Description
About the Book :
A child with a strong foundation takes much less time to understand a subject as compared to other students. MATHEMATICS FOUNDATION CLASS 9 aims at providing the right foundation to the students as they enter class 11. This book will prove to be a stepping stone to success in higher classes and competitive exams like Olympiads, IIT-JEE etc. The book covers a very broad syllabus so as to build a strong base. The USP of the book is its style and format. The book is supplemented with "Do You Know," "Knowledge Enhancer," "Checkpoints," and "Idea Box." Another unique feature is the Exercise Part which is divided into 2 levels. The broad variety of questions covered are Short, Very Short, Long, Fill in the Blanks, True/ False, Matching, HOTS, Chart/ Picture/ Activity Based, MCQ's - one option correct, multiple options correct, Passage based, Assertion-Reason, Multiple Matching etc. Solutions to selected questions has been provided at the end of each chapter.
Popular Searches
The book IIT Foundation MATHEMATICS Class 9 by Disha Experts
(author) is published or distributed by Disha Publication [9381250685, 9789381250686].
This particular edition was published on or around 2011-1-1 date.
IIT Foundation MATHEMATICS Class 9 has Paperback binding and this format has 428 number of pages of content for use.
This book by Disha Experts |
MTH-320: Number Theory (formerly MTH-35)
Description:
Introduction to the arithmetic properties of the
integers including divisibility, congruences, diophantine equations,
primes and their distribution, quadratic forms and quadratic
reciprocity. Additional topics will be chosen from continued fractions,
cryptography, partitions, elliptic curves, modular forms and number
fields. |
Goals of the mathematics area and the learning outcomes that flow from these
goals are as follow:
Goal I:
To provide a course of study for a mathematics major program
consistent with other colleges and universities as delineated by organizations
such as the MAA (Mathematical Association of America) Committee on the
Undergraduate Programs in Mathematics (CUPM) Guidelines and Programs at
Liberal Arts Colleges. Outcomes:Graduates of the B.A. major program in mathematics must:
demonstrate knowledge of mathematics in the areas of elementary analysis
(calculus), higher algebra, and higher analysis at the undergraduate level;
" be able to apply the knowledge gained to solve problems related to various
disciplines;
demonstrate general knowledge in the areas of physics and computer s cience;
demonstrate the ability to develop and discuss a problem or narrow band
of knowledge of a subject in writing and orally; and
be able to connect the importance of mathematics historically and
presently to a technological society.
Goal II:
To provide a course of study for a mathematics joint major program
that gives students adequate knowledge to combine two areas of knowledge for
work or further study in either discipline or a combination thereof. Outcomes:
Graduates of the joint major program in mathematics must:
demonstrate knowledge in the cognate subjects selected;
demonstrate the ability to develop and discuss a problem or narrow band
of knowledge of a subject in writing and orally;
be able to connect the importance of mathematics historically and presently
to a technological society.
Goal III:
To provide a course of study that supports other disciplines and majors
requiring mathematics beyond that required in the program of general education. Outcomes: Graduates of a client discipline must:
demonstrate awareness of the connection between prescribed mathematics
courses and their respective disciplines; and
be able to apply the principles of mathematics for problem-solving in their
respective disciplines and related disciplines.
Goal IV:
To provide technological experiences in the learning of mathematics
using graphing calculators, computer algebra systems, and computer-aided
instruction. Outcomes: Graduates of any major program must:
be familiar with the operation and use of the above technologies in the
learning of mathematics; and
be aware of the role of technology in society presently and in the future. |
Secondary Curricula
Student Textbook Set
When a school implements Carnegie Learning textbooks, each student receives a consumable textbook set that contains the following books.
Student Textbook
The Student Text is a consumable textbook designed for students to take notes and work problems directly in each lesson. Each lesson contains objectives, key terms, and problems that help the students to discover and master mathematical concepts.
Student Assignments and Skills Practice
The Student Assignments book contains one assignment per lesson and skills practice activities. It is designed to move with the student from classroom to home to lab time so that students can repeatedly practice the skills taught in the lesson.
Homework Helper*
The Homework Helper book is designed to help parents and care givers be more informed about the concepts being covered in the student's math course. Students are encouraged to keep the Homework Helper at home. It contains one activity per lesson including examples of the skills taught in the lesson and several practice problems. Answers to the practice problems are provided in the back of the Homework Helper book.
*Homework Helper included in Bridge to Algebra and Algebra I curricula.
What Makes Carnegie Learning Student Texts Engaging?
Learning By Doing Principles
Carnegie Learning believes that students develop math understanding and skills by taking an active role and responsibility for their own learning. With Carnegie Learning textbooks students become engaged in solving contextual math problems that strengthen their conceptual understanding of math topics. Rather than encouraging students to memorize procedures, we provide them opportunities to think and work together in small groups.
Real-World Context
Students work with their peers to solve real-world problem situations like using percents for leaving a tip in a restaurant or using a graph of an equation to determine the number of days it will take to build miles of highway. They become more engaged in learning mathematics when they see how it plays a significant role in everyday life.
Mathematical Discourse
Throughout the student text icons prompt different forms of student communication. These icons may instruct students to work independently, work with groups, or share ideas with the class. Encouraging mathematical discourse provides opportunities for students to explain their thoughts and processes for solving math problems.
Carnegie Learning Textbooks
Documents & Brochures
2012 Program Guide (Middle & High School)Explore our Middle School and High School Math Series featuring our innovative, research-based software and textbooks for students in grades 6-12, and Professional Development for educators of Grades K-12. |
Next: Related Rates
Previous: Linearization and Newton's Method
Chapter 3: Applications of Derivatives
Chapter Outline
Loading Content
Chapter Summary
Description
Students gain practice with using the derivatives in related rates problems. Additional topics include The First Derivative Test, The Second Derivative Test, limits at infinity, optimization, and approximation errors. |
Math 6, 2nd ed.
Math 6, 2nd ed. Resources
About Math 6, 2nd ed.
Math 6 (2nd edition) seeks to develop solid problem-solving skills, teach methods of estimation, and familiarize the student with the use calculators and computers. The curriculum emphasizes the application of math to real-life situations. In addition, manipulatives are used to assist the student with the math concepts presented. |
Synopsis
Do you find yourself in math clazz hearing terms like polynomials and rules of operation, but not being able to make sense of what they all mean? We've all been there! And this book is for you. It breaks math down in a way that's easy for beginners.
This book starts by reviewing the essence of arithmetic (fractions, divisions, square roots, etc.), then moves on to expressions, operations, equations and function. It goes slow and along the way gives you dozens of exercises to practice.
This book takes some of algebra's most complex equations, and puts them in a language anyone can understand.
The "Plain and Simple English" series is part of BookCaps™ growing library of book and history recaps.
Found In
eBook Information
ISBN: 1230000001111 |
MATH 050 - Provincial Algebra and Trigonometry
Course Details
Course Code:
MATH 050
Calendar Description:
In Provincial Level Mathematics, students study the following types of functions: polynomial, quadratic, logarithmic, exponential, exponential, and trigonometric. This course prepares the adult learners with the necessary skills and knowledge for entry into technical, vocational, and career programs that require Math 12 equivalency as a prerequisite and for future study in higher-level math course at College/University.
Functions and Graphs
- two points in a plane and midpoint of a segment
- distance and midpoint formulas
- graphs of common functions: linear, constant, quadratic, cubic, square root, absolute value, reciprocal
- vertical line test
- domain, range, intervals of increase, decrease, constant for graphs and graph functions
- real life applications formulas and functions
- symmetry of x- and y-axes, odd or even functions
- translation, reflection, stretching, and shrinking of graph transformation of functions
- sum, difference, product, and quotient of two functions
- two functions, f and g finding formulas for f(g(x)) and g(f(x)), domain of and composite function
- equation defining a relation and equation of the reverse relation
- graph of a relation and graph of the reverse
- horizontal line test to determine if function is one-to-one and therefore has a reverse
- formula for the reverse of a function
- f-1(f(x)) and f(f-1(x))for any number x in the domains of the functions when the reverse of a function is also a function
Sequences and Series
- terms of sequences given the general term or nth term
- formula for the general or nth term given a sequence
- summation notation and series evaluation
- terms of a sequence defined by a recursive formula
- arithmetic and geometric sequences
- nth term formulas to find a specified term
- the sum of first n terms
- sum of an infinite geometric series
- sequences and series to solve real-life problems,
Learning Outcomes: Upon successful completion of this course, students will be able to:
Functions and Graphs
- find the distance between two points in the plane and the midpoint of a segment
- apply the distance and midpoint formula to solve problems
- recognize graphs of common functions: linear, constant, quadratic, cubic, square root, absolute value, reciprocal
- use the vertical line test to identify functions
- graph and analyze functions, identifying: domain, range, intervals on which the function is decreasing, increasing or constant
- write formulas or functions to model real-life applications
- determine graph or function symmetry with respect to the x-axis, y-axis, and origin
- identify even or odd functions and recognize their symmetry
- graph transformations, translations, reflections, stretchings, and shrinkings of functions
- graph functions defined piecewise
- find the sum of, difference, product, quotient of two functions and determine their domains
- find the composition of two functions f and g finding formulas for f(g(x)) and g(f(x))
- write an equation of the inverse relation given an equation defining the relation
- sketch a graph of its reverse given the graph of the relation or function
- use the horizontal line test to determine if a function is one-to-one and therefore has an inverse
- find a formula for the inverse of a function
- evaluate composite functions
Polynomial and Rational Functions
- graph and analyze quadratic functions identifying the vertex, line of symmetry, minimum/maximum values and intercepts.
- solve applied problems involving minimum and maximum function values
- determine the behaviour of graphs of polynomial functions of higher degree using the leading coefficient test
- determine whether a function has a real zero between two real numbers
- write and manipulate complex numbers
- divide polynomials using long and synthetic division
- demonstrate the use of remainder and factor theorems
- factor polynomial expressions and solve polynomial functions and find the zeros
- find a polynomial equation given its roots
Exponential and Logarithmic Functions
- understand the relationship between exponential and logarithmic functions
- recognize the inverse relationships
- graph and analyze exponential and logarithmic functions
- use the laws of exponents and the laws of logarithms to simplify expressions and solve equations
- use exponential and logarithmic equations to solve real-life applications including exponential growth and decay
Trigonometric Functions
- identify angles in standard position, positive and negative angles, co-terminal and reference angles
- identify special angles and use the unit circle and convert between radians and degrees
- determine the trig function values of an angle in standard position given a point on a terminal arm
- use trig identities and algebra to simply expressions and solve trig equations
- graph and analyze the sine, cosine, and tangent functions
-use a calculator to evaluate inverse trig relations
- use trig functions to model and solve real-life problems
Series and Sequences
- distinguish between and solve problems involving arithmetic and geometric sequences and series
- use the formulas to find terms, positions of terms, arithmetic and geometric means, differences or ratios, sums of series , and sums of series and sums of infinite series.
- use sequences and series to model and solve real-life problems
Knowledge:
Learners will acquire the knowledge, skills and strategies
required to analyze, manipulate, graph and interpret a
variety of mathematical functions
Grading System:
Letters
Passing Grade:
D
Grading Weight:
Final Exam: 30 %
Other: 70 %
Percentage of Individual Work:
100
Course Offered in Other Programs:
No
Supplies:
Please note that textbooks and resources may vary by campus and/or to meet the needs of individual learners. Please contact the instructor at campus of attendance for list of required books. |
Trigonometry With Infotrac
9780534403928
ISBN:
0534403921
Edition: 5 Pub Date: 2003 Publisher: Thomson Learning
Summary: This text provides students with a solid understanding of the definitions and principles of trigonometry and their application to problem solving. Identities are introduced early in Chapter 1. They are reviewed often and are then covered in more detail in Chapter 5. Also, exact values of the trigonometric functions are emphasized throughout the textbook. There are numerous calculator notes placed throughout the textTH EDITION, CD NOT INCLUDED. Intact & readable. PLEASE NOTE~ we rated this book USED~ACCEPTABLE due to likely defects such as highlighting, writing/markings, folds, creas [more]
5TH EDITION, CD NOT |
Calculator Pro 2.00.051
Calculator Pro: Scientific calculator that can calculate a large number of mathematical expressions and knows more than 50 mathematical and scientific constants; you can also define your own constants |
Advanced Math
The overarching theme of the course is to provide a context for the content while always driving toward the fundamental mathematics concepts used on a daily basis by engineers and scientists. Advanced Math provides a linkage between the projects in the physics course and the fundamental underlying mathematics concepts of those projects. While this course was designed to be taught independently, it can also be fully integrated with the physics curriculum. |
Combining academic and practical approaches to this important topic, Numerical and Analytical Methods with MATLAB® for Electrical Engineers is the ideal resource for electrical and computer engineering students. Based on a previous edition that was geared toward mechanical engineering students, …
Highly recommended by CHOICE, previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Third Edition continues to present a wide range of useful and important algorithms for …
With an emphasis on problem solving, this book introduces the basic principles and fundamental concepts of computational modeling. It emphasizes reasoning and conceptualizing problems, the elementary mathematical modeling, and the implementation using computing concepts and principles. Examples are …
Designed for undergraduate students in the general science, engineering, and mathematics community, Introduction to the Simulation of Dynamics Using Simulink® shows how to use the powerful tool of Simulink to investigate and form intuitions about the behavior of dynamical systems. Requiring no … …
Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in …
This textbook presents a variety of applied mathematics topics in science and engineering with an emphasis on problem solving techniques using MATLAB®. The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book …
This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite … |
Tutorial-Based
Quizzes An unlimited number of practice exercises tests
your knowledge and reinforces concepts through the use of optional
hints, step-by-step solutions, and lessons.
Smarthinking
Students can get help by using chat technology,
feedback tools, and virtual whiteboards to communicate using mathematical
expressions, graphs, shapes, and more.
Data
Sets A convenient bank of large data sets allows
you to experiment and sharpen your skills with Minitab, the TI-83Plus
calculator, or Excel.
Statistical
Tables View or print these statistical tables found
in Appendix II of the textbook. |
Hardcover Good 0135693020 Used, in good condition. Book only. May have interior marginalia or previous owner's name. owner's name. Book only; may not include CDs, access codes ...or supplements.Read moreShow Less
Ships from: Punta Gorda, FL book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises throughout to aid the reader's understanding.
This edition includes substantial new material in areas that include: tensor products, commutative rings, algebraic number theory and introductory algebraic geometry. Also, includes rings of algebraic integers, semidirect products and splitting of extensions, criteria for the solvability. of a quintic, and Dedekind Domains.
Editorial Reviews
Booknews
An introductory text with sections on group theory, ring theory, modules and vector spaces, field theory and galois theory, an introduction to the representation theory of finite groups, and an introduction to commutative rings, algebraic geometry, and homological algebra. Exercises range from routine computations to fairly sophisticated theoretical ones. This second edition provides greater flexibility instructors wishing to use the text for an introductory undergraduate course and for topics courses at the graduate level 23, 2013
Excellent book
One of the best Algebra books I have used.
Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged.
Anonymous
Posted December 1, 2005
Best General Algebra Book
This is simply the best book to learn abstract algebra from. It has really outstanding chapters on group, ring and field theory, but this is not all: linear algebra, commutative algebra and some graduate topics like representation theory, algebraic geometry and homological algebra are presented in a way that is very well suited for self study: lots of motivation, good examples and good exercises. This book is the unique reference for algebra in the qualifying exam syllabus of the math phd program at Harvard University: check their homepage. I think there is not much left to say!
Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged. |
Get a good grade in your precalculus course with PrecalculusWith the same design and feature sets as the market leading Precalculus, 8/e, this addition to the Larson Precalculus series provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, this text contains the features that have made Precalculus a complete solution for both students and instructors
This market-leading text continues to provide both students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one- or two-term course that prepares students to study calculus, the new Eighth Edition retains the features that have made PRECALCULUS a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.
Get a good grade in your precalculus course with PRECALCULUSMike Sullivanís time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. In the Ninth Edition, Precalculus has evolved to meet todayís course needs, building on these hallmarks by integrating projects and other interactive learning tools for use in the classroom or online.
Precalculus, Fifth Edition, by Lial, Hornsby, Schneider, and Daniels, engages and supports students in the learning process by developing both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Fifth Edition, the authors adapt to the new ways in which students are learning, as well as the ever-changing classroom environment.
Mike |
A course that provides a review of algebra and trigonometry skills as well as an in-depth look at differential calculus and its applications. In addition students will study the basic techniques and some applications of integral calculusCourse Syllabus
(43.52 KB)
This is the syllabus for the course that contains all the topics covered and an approximate time frame for when each topic will be taught. It also contains the grading scale and reading list for this course.
Exam Tips
(54.78 KB)
This document also comes from the AP program and gives several helpful hints for performing well on the exam.
Getting Ready for the Exam
(494.51 KB)
A former exam writer and Chief reader has prepared some FAQs and tips for preparing for the AB exam.
Grades
(7.49 KB)
This is the link for checking your grades.
Note-Taking in Calculus
(14.01 KB)
A brief description of one method of note-taking. Each student is strongly encouraged to keep detailed, organized notes every day.
Reading List
(29.18 KB)
You will have to read two books of this list, one in the summer and one in the spring. You will be require to write a 2-3 page paper on your book telling what you learned, what you enjoyed about the book, what you disliked about the book, and what you would like to now more about. |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). |
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more.
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their education.
10 Tips for Teaching an Effective AP Economics Course(This guide is adapted from the Advanced Placement Economics Teacher Resource Manual fromthe National Council on Economic Education and authored by John S. Morton. You canpurchase a copy of Advanced
ELEMENTRY DIFFERENTIAL EQUATIONS9th Edition, BoyceChapter 2.71-3-5We use technology to plot the direction field:It appears that the solution is converges when y0 undefined for y<09-GivenUsing the OED ArchitectAll solutions seem to diverge11-1
ELEMENTRY DIFFERENTIAL EQUATIONSCHAPTER 22.4 PROBLEMS1-3-5-7-9-11-13-15-17-19We use technology to draw a direction field and plot several solutions:It appears that all solutions approach 0 asymptotically as t increases, regardless of their va
ELEMENTRY DIFFERENTIAL EQUATIONSCHAPTER 11.1 PROBLEMS1-3-5-7-9-11-13-15-17-19-21-23-25-29We use technology to graph the direction field:It appears that if y(0) > 0 then y and that if y(0) < 0 then y -.31We use technology to draw the dire
ELEMENTRY DIFFERENTIAL EQUATIONS9th Edition, BoyceChapter 5.11-3-5-7We need to determine the radius of convergence for the power series,Apply the ratio test.=Since this limit is indeterminate of the formof degree 2, we do this twice., we can us
ELEMENTRY DIFFERENTIAL EQUATIONS9th Edition, BoyceChapter 3.81-3-5-7-9-11-13-15-17-19-21-The general solution is, where we have thatand(a)(b)23-The general solution is, where we have thatand(a)(b)25-(a)(b)(c)The amplitude for |
Intermediate Algebra/withried and true, Gustafson and Frisk's INTERMEDIATE ALGEBRA teaches solid mathematical skills while supporting the student with careful pedagogy. Each book in this series maintains the authors' proven style through clear, no-nonsense explanations, as well as the mathematical accuracy and rigor that only Gustafson and Frisk can deliver. The text's clearly useful applications emphasize problem solving to effectively develop the skills students need for future mathematics courses, such as college algebra, and for real life. The Seventh Edition of I... MORENTERMEDIATE ALGEBRA also features a robust suite of online course management, testing, and tutorial resources for instructors and students. This includes BCA/iLrn Testing and Tutorial, vMentor live online tutoring, the Interactive Video Skillbuilder CD-ROM with MathCue, a Book Companion Web Site featuring online graphing calculator resources, and The Learning Equation (TLE), powered by BCA/iLrn. TLE provides a complete courseware package, featuring a diagnostic tool that gives instructors the capability to create individualized study plans. With TLE, a cohesive, focused study plan can be put together to help each student succeed in math. Get a good grade in algebra with INTERMEDIATE ALGEBRA! Written with you in mind, the authors provide clear, no-nonsense explanations that will help you learn difficult concepts with ease. Prepare for exams with numerous resources located online and throughout the text such as live online tutoring, chapter summaries, self-checks, getting ready exercises, vocabulary and concept problems, web quizzes, and chapter tests. Use this text, and you'll learn solid mathematical skills that will help you both in future mathematical courses and in real-life! |
Summary: The power and attractiveness of the subject of mathematics is often hidden from students who are in introductory courses. In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometr...show morey, topology, probability, and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study. ...show less
Surfing the Book Fun and Games: An Introduction to Rigorous Thought Number Theory: The Secret and Hidden Power of Numbers Infinity Geometric Gems Contortions of Space Chaos and Fractals Risky Business Farewell
Other Editions of Heart Of Mathematics : An Invitation To Effective Thinking / Text Only:
This is a very good copy with slight wear. The dust jacket is included if the book originally was published with one and could have very slight tears and rubbing.
$6.49 +$3.99 s/h
VeryGood
AlphaBookWorks Alpharetta, GA
1559534019.39 +$3.99 s/h
VeryGood
worldofbooks Goring-By-Sea,
1999 Hard cover Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Sewn binding. Cloth over boar...show moreds. 646The text has very minimal marking, has a "tiny" puncture in the middle of the front cover, otherwise in Excellent condition. Quantity Available: 1. Category: Education; Mathematics; ISBN: 1559534079....show more Inventory No: 1560786204 |
Synopsis
Are you having trouble with algebra? Do you wish someone could explain algebra concepts to you in a clear, simple way? From the most basic algebraic expressions to more challenging polynomial functions, this book takes a step-by-step approach to teaching algebraic concepts. ALGEBRA I AND ALGEBRA II SMARTS! is designed for students to use alone or with a tutor or parent, provides clear lessons with easy-to-learn techniques and plenty of examples. Whether you are looking to learn this information for the first time, on your own or with a tutor, or you would like to review some algebra skills, this book will be a great |
Real Analysis
9781852333140
ISBN:
1852333146
Publisher: Springer Verlag
Summary: Understanding the concepts and methods of real analysis is an essential skill for every undergraduate mathematics student. Written in an easy-to-read style, Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates. Combining an informal style with precision mathematics, Real Analysis covers all the key topics with f...ully worked examples and exercises with solutions. Featuring: * Sequences and series - considering the central notion of a limit * Continuous functions * Differentiation * Integration * Logarithmic and exponential functions * Uniform convergence * Circular functions All these concepts and techniques are deployed in examples in the final chapter to provide the student with a thorough understanding of this challenging subject.[read more |
Math 8
Doug Ingamells, Periods 1, 2 & 6
All classes are composed of 7th and 8th graders. They are usually on
the same page and assignment, except that they have different "block"
days so assignment and due dates can differ. There are two other
sections of Math 8, both taught by Kerry Bayne.
PPS has decided that the first four (of twelve total) chapters in the
algebra text will be part of the Math 8 curriculum. This means that
Algebra 1-2 now starts at Chapter 5, and students must complete the
first four chapters before enrolling in Algebra 1-2. The district
calendar has us completing the Algebra first, then proceeding with
pre-algebra topics at the end of the year. All students in Math 8 should
be in Algebra 1-2 the following year.
PPS uses standard A-F grades. In this class grades are weighted so
that tests count 60% and homework/classwork counts 40%. We use the
standard 90%(A), 80%(B), 70%(C), 60%(D) breakpoints.
A copy of the general information letter for this class can be found here: |
200 Key Concepts Explained in an Instant
Paperback
Click on the Google Preview image above to read some pages of this book!
Both simple and accessible, Maths in Minutes is a visually led introduction to 200 key mathematical ideas. Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation.
Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology.
- Based on scientific research that the brain best absorbs information visually
- Compact and portable format – the ideal, handy reference
About the Author
Paul Glendinning is Professor of Applied Mathematics at the University of Manchester. He was a student and a lecturer at Cambridge before moving to a chair at Queen Mary, University of London and then Manchester (UMIST). He was founding Head of School for Mathematics at the combined University of Manchester and has published over fifty academic articles and an undergraduate textbook on chaos theory. |
The four graphing modes provide a structure of the four sections of the book:
Using function graphing
You may well be familiar with the basics of this type of graph drawing but, unless you have spent many hours using your calculator in conjunction with its operating manual, you will undoubtedly find that there are graphing techniques in this section that are new to you and that are interesting and fun.
Using polar graphing
Units 4 and 5 form a short section involving the use of polar graphing. Polar coordinates are explained and you are shown how to produce spirals and other interesting shapes like the heart-shaped one shown here. This section could be studied independently of the rest of the book.
Using parametric graphing
After an introduction to this graphing mode in Unit 6, the next two units deal with applications in mechanics, and Units 9 and 10 with applications in pure mathematics. Each pair of units could be studied independently.
Using sequence graphing Unit 11 provides an introduction to iterative methods of defining sequences in general and the next four units cover time-sequence graphs, staircase and cobweb diagrams and phase plots. Units 11 to 16 are best worked through in order.
The DfEE in England and Wales published the Key Stage 3 National Strategy, Framework for teaching mathematics: Years 7, 8 and 9. Central to the Framework is the appropriate use of technology, particularly graphics calculators.
This book provides 30 lesson plans, each consisting of a page of teacher notes and one or more student handouts. These are written specifically for the Texas Instruments TI-83 or TI-83 Plus calculators. The teacher notes reflect the lesson structure suggested in the Framework: Starter à Main activity à Plenary session.
Also in the teacher notes is a section containing all the information needed to link the lesson to the National Strategy Framework document.
What calculator skills are needed? The lesson outlines assume a very basic level of competence with the calculator, particularly for the teacher. In every lesson there is reference to the teacher using a view-screen calculator as a sort of electronic blackboard for full-class teaching. Teachers who are not confident users of the calculator will find that a copy of Calculator Maths: Foundations Plus will help them acquire all the basic calculator skills that they will need for these 30 lessons. The other books in the Calculator Maths series are also a useful complement to this one, with lots more activities for use at Key Stages 3 and 4.
This new book is a companion to the very successful 30 Calculator Lessons. It has been written to motivate, challenge, entertain and enlighten students aged 11 to 16.
The new book provides another 30 plans for lessons, each consisting of a page of teacher notes and two more of student handouts. Once again, these are written specifically for the Texas Instruments TI-83 or TI-83 Plus calculators.
However, each of these lessons is based on a simple calculator program that students are encouraged to create for themselves.
Short programs This is certainly not a book of clever and complicated programs for teachers to dazzle the class with!
On the contrary, these photocopiable worksheets, help pupils to create their own short programs and show how they can be gradually built up from the bare bones of a skeleton version to something more sophisticated.
Price: £30.00( )
Quantity:
Algebra ThePrice: £8.95( )
Quantity:
ShapeNumberHandling DataFoundations Plus The first book in a series of five, Foundations Plus covers all the basic calculator skills. Like how to:
The series comprises the 5 books shown above. Lively mathematics books for students aged 12 and up, based on the Texas Instruments graphics calculator range.
The books are written for the powerful TI-83 or TI-84 families of graphic calculators.
The five books in the series are: · Foundations Plus · Number · Algebra · Shape · Handling data
What sort of calculator will I need? The books have been written with the Texas Instruments families of graphics calculators in mind - the TI-83 and TI-84. If you are using another make or model of graphics calculator you may need to adapt many of the activities, although the ideas and principles can still be applied.
What maths does the series cover? Calculator Maths shows how the graphics calculator is much more than just a graphing aid. It's a mathematical laboratory which lets you discover things for yourself.
The |
Greetings, I am a sophomore in college and I am worried by my . One of my troubles is dealing with using a scale math problems; Could somebody on the ethernet guide me in seeing what it is all about? I want to complete this very quickly! Thanks for helping.
Have you heard of Algebra Buster? This is an extraordinary application | helpful tool and I've used it several times to assist me with my using a scale math problems problems. It is really simple - you simply need to enter the exercise so it will present to you a detailed result that will help figure out your exercise. Test it out to see if it solves your problem.
I concur. Algebra Buster not only gets your homework assignments done more quickly, it really improves your knowledge of the field by offering usable hints on the steps needed to figure out corresponding homework problems | homework . It's a truly best-selling product among pupils hence you should test it out | examine it | give it a workout.
Algebra Buster is the software that I've used for many math classes of study - Algebra 1, Remedial Algebra as well as Algebra 2. It's an extraordinary piece of math software. I recall working through exercises with adding fractions, angle suplements as well as mixed numbers. I could simply key in a question from the classes, select execute I'd have a detailed answer for my math problems. I regularly endorse this software product. |
10 Units 2000 Level Course
Available in 2012
Provides students in Education programs with an insight into the nature of problem-solving in mathematics. In particular, within the scope of the mathematics they have studied, the students will become aware of the process of using mathematics in open-ended problems, the way in which new mathematics can be developed, and mathematics as a human endeavour.
Encourages students to think mathematically and increase students' confidence in their mathematical ability.
Objectives
On successful completion of this course, students will have:
1. been introduced to the process of problem-solving 2. explored a variety of approaches to problem solving 3. increased confidence in their ability to think mathematically and to solve mathematical problems. |
Identity and Inverse Matrices
In the last lecture of the Matrix series, Dr. Eaton prepares you on Solving Systems of Equations Using Matrices. You first cover what are matrix equations and then how to use these equations to solve systems of equations. After equating it to standard number equations using the multiplicative inverse, you finish off the lesson with four full video examples.
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Identity and Inverse Matrices
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture. |
CCSS.Math.Content.HSF-LE.A.1c Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
CCSS.Math.Content.HSF-LE.A.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
CCSS.Math.Content.HSF-LE.A.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
CCSS.Math.Content.HSF-LE.A.4 For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
Interpret expressions for functions in terms of the situation they model. |
Free Online Math Tutoring
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Document Description
Solving equation is an easy task but solving word problem is difficult do you know why? When
we solve equation all the things are given to us directly and we have to only apply the rules
and do some calculations to get result.
But, in word problems the question is given in the form of word and we have to determine
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It is the toughest thing about word problems. Many students squeeze in translating word
problems in mathematical form or terms and most of them need help with math word
problems.
When you solve any word problem you should approach in a proper and systematic way.
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numeric equation that combine smaller expressions.
After this, solve the equations. You should read the problem properly and try to understand it
what it wants to say. Identify the variables and information that is given in the list and define
what you have to determine.
Having difficulty working out Math problems? Stuck with your homework and having nightmares before your
next Math test? TutorVista's tutors can help you. TutorVista's Free Online Tutoring Math Online ...
Having difficulty working out Math problems? Stuck with your homework and having nightmares before your
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Content Preview
Free Online Math Tutoring Free Online Math Tutoring Solving equation is an easy task but solving word problem is difficult do you know why? When we solve equation al the things are given to us directly and we have to only apply the rules and do some calculations to get result. But, in word problems the question is given in the form of word and we have to determine what we have to calculate and what is given to us. It is the toughest thing about word problems. Many students squeeze in translating word problems in mathematical form or terms and most of them need help with math word problems. When you solve any word problem you should approach in a proper and systematic way. Whenever you solve any word problem firstly, you should translate or convert the words into numeric equation that combine smal er expressions. After this, solve the equations. You should read the problem properly and try to understand it what it wants to say. Identify the variables and information that is given in the list and define what you have to determine. Know More About :- Math Question
Math.Tutorvista.com Page No. :- 1/4 If you work in an organized way then you can easily solve the questions. While solving word problems remember some keywords like increased by, more, added to ,etc means addition, in the same way decreased by, less than, difference means subtraction. There are many other keywords for multiplication, division, equal, etc to get good knowledge on word problem you can take help of online free math tutor. There are large variety of word problems as they can be from age sums, distance problems, area, volumes, etc. Lets take an simple example to understand word problems. The sum of two consecutive numbers is 37. find the two numbers? The two consecutive number can be any number, so let us assume that two number are x and x+1. According to question sum of number is 37 that means x+ (x+1) = 37, we formed an equation and you al are expert of solving equations, on solving we get, 2x + 1 = 37, 2x = 37 -- 1, 2x = 36, x= 36/2, Learn More :- Free Tutor
Math.Tutorvista.com Page No. :- 2/4 x = 18. So the other number is x+ 1 that is 18 + 1 =19. hence two consecutive numbers are 18 and 19. Online free math tutor will explain you al the fundamental of word problem and if you use free online tutoring math then you wil exactly know how to crack word problems. Free online tutoring math service is a good way to learn apprentice math problems. Online free math tutors il ustrate al the things from basic to higher level. Students of any class can use help with math word problems, as here, resources are available for al . |
Algebra 2A/B Syllabus
This course is an extensionBe reminded, Algebra 2 is NOT an introductory course and topics learned in Algebra 1 will not be rehashed but rather built upon. And, because all Indiana state universities and colleges require Algebra 2 for admission, this Algebra 2 course is taught at the college preparatory level and taught for proficiency on university admission tests.
Students will work to their potential and ultimately benefit from taking this class as borne out from recent SAT scores. Those who score well in algebera 2 do well on college admissions tests.
5.Graphing calculators – provided in class, will be used to aid in exploring Algebra; however graphers will not be used as a "crutch" for applications that students cannot perform on their own.
6. A positive attitude – "If there were one word that could be used to describe a successful person, that one word would be ATTITUDE." Bart Starr
Assignments/Make-up Work:
Homework will be assigned on a daily basis and generally due the following day (at the beginning of class). Though assignments are generally not graded, I retain the right to grade homework for completeness and effort, and at times for accuracy. Homework checks/pop quizzes will be given regularly. Problems from recent previous assignments will be given to the student at the beginning of class the next day, to complete in class with use of notes/binder/homework within a reasonable amount of time. Adequate time is allowed to complete the homework check provided the student has completed his or her assignment.
I expect every problem in each homework assignment to be given an honest attempt by you. Each problem should have logical work showneven though you are convinced that your work or answers are wrong. Anything less than an honest attempt is considered incomplete. A zero will be given for a homework assignment turned in with answers only, unless specified by your teacher.
Students will assume the responsibility to find out what work and notes you missed while absent and that you complete those tasks promptly. After your return to school, you will be allowed one day per day absent to complete all missing material. If you miss a homework check, then expect to turn in the appropriate assignment in its place. If you are absent the class before a test/quiz, expect to take the test/quiz on the regularly schedule day (this means you must review on your own). If you are absent the day of a test/quiz, expect to take the test/quiz on the 1st day you return.
Finally, you will receive at most, only half-credit for any late paper.
Classroom Policies:
1. Be respectful at all times (towards me, other faculty, and your classmates). I will respect you.
2. Be on time and prepared (have sharpened pencil, paper, homework, and calculator ready to go when the bell rings!)
3. Be responsible for all material discussed while you were absent on a field trip and upon return the next day, have completed all assignments due. PLAN AHEAD FOR FIELD TRIPS!!!
4. Be on task and use study/homework time to work exclusively on your math assignment. When your math assignment is completed you may then use that extra time to work on another assignment.
5. Be honest with your work on all assignments, projects, tests and quizzes whether graded or not. If you are found to have cheated, you will receive a zero for that grade, your CPG will be docked 5 points, and you will be referred for disciplinary action and a Friday night school.
6. All Manchester Jr/Sr High School rules apply.
Possible Consequences *:
1. Verbal warning
2. A meeting with Ms. Stone
3. Parents called
4. Loss of CPG points (see CPG contract)
5. Written referral
*Any serious infraction will be referred to the office immediately.
Grading:
Your individual midterm and semester grades depend on several different
scores:
1. Tests (a major portion)
2. Announced Quizzes
3. Frequent Pop Homework checks
4. Homework—I reserve the right to grade any assignment. 5. CPG (a score out of 25 points)—recorded at end of semester
6. Extra-credit, recorded at the end of thesemester
Make-ups:
1. If you miss an ANNOUNCED quiz, your grade will be recorded as 0 out of 0. It does not count for or against your grade.
2. If you miss a POP homework check, then I will grade the homework assignment pertaining to the checked material.
3. IF YOU MISS CLASS DUE TO A FIELD TRIP OR PRE-ARRANGED ABSENCE, ALL HOMEWORK, QUIZZES, OR TESTS DUE ARE EXPECTED ON THE DAY YOU RETURN.Field trip participants ARE NOT CONSIDERED ABSENT!!!
4. For all others absences, you have one day for every day you missed to complete the outstanding assignments, tests or homework check. After such time, if the work is still missing, the grade will be recorded as a zero!
You will be expected to keep track of your own point totals. An assignment sheet is provided for that purpose. Grading Scale: (in percents)
Any "rounding" will be done on an individual basis. Attitude, effort, class participation, etc. will be considered in any rounding situation. .5% and above is not necessarily cause for me to automatically round up!
Semester Average = 80% from your total percent in a semester (including any extra credit and CPG) prior to the final exam
+ 20 % from the final exam percent.
If a midterm grade is given, it will be based on your total points earned divided by the total points possible.
Extra credit and CPG are added in when determining the semester grade.
Extra Credit:
There will be minimal opportunities for extra credit. The best way to get extra credit is extra effort. Show me that you are working to your potential. Be an active participator in class. It won't go unnoticed.
HELP:
My job is to help you reach your potential. Your success in this class is vitally important to me. I am often available for extra assistance before each school day (7:45 AM, after each school day until 3:30 PM or later by appointment, and at home, via phone. Students are encouraged to call me at home (982-2949, prior to 8 pm) for extra help with their homework. Further assistance is available from peer tutors in the study hall , via the internet at the website listed on the front of your textbook. After school tutoring is available to all free of charge from 3:30-4:30 PM M-TH.There is also FREE homework assistance through Rose Hulman Institute at 1-877-ASK-ROSE (toll free) every Sunday – Thursday evenings, 7-10 PM, excluding any Rose Hulman breaks.
I want this class to challenge you, to satisfy your intellectual curiosity, and to fulfill your academic needs. You WILL have to work hard, but I can guarantee you that I will be working even harder to see you meet your goals. Let's make this a great school year by working together toward the common goals of academic success and maturity. |
Purchasing Options
Features
Introduces the theory and applications of fuzzy logic in an extensively classroom-tested presentation ideal for course work or self-study
Builds the foundation for applying fuzzy logic in intelligent systems design, particularly in control engineering
Covers new topics, such as type-2 fuzzy sets
Includes extensive exercise set at the end of each chapter
Summary
A First Course in Fuzzy Logic, Third Edition continues to provide the ideal introduction to the theory and applications of fuzzy logic. This best-selling text provides a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world applications.
New in the Third Edition:
A section on type-2 fuzzy sets - a topic that has received much attention in the past few years
Additional material on copulas and t-norms
More discussions on generalized modus ponens and the compositional rule of inference
Complete revision to the chapter on possibility theory
Significant expansion of the chapter on fuzzy integrals
Many new exercises
With its comprehensive updates, this new edition presents all the background necessary for students and professionals to begin using fuzzy logic in its many-and rapidly growing- applications in computer science, mathematics, statistics, and engineering.
Table of Contents
THE CONCEPT OF FUZZINESS Examples Mathematical modeling Some operations on fuzzy sets Fuzziness as uncertainty Exercises |
A Mathematical Dictionary for Schools contains contains over 500 definitions of technical terms found within GCSE syllabuses. Key words and phrases are explained in clear, si [more]
A Mathematical Dictionary for Schools contains contains over 500 definitions of technical terms found within GCSE syllabuses. Key words and phrases are explained in clear, simple language with illustrations to aid understanding of more difficult terms.[less] |
Geometry Kit with Solutions Manual
Presented in the familiar Saxon approach of incremental development and continual review, topics are continually kept fresh in students' minds. Covering triangle congruence, postulates and theorems, surface area and volume, two-column proofs, vector addition, and slopes and equations of lines, Saxon features all the topics covered in a standard high school geometry course. Two-tone illustrations help students really "see" the geometric concepts, while sidebars provide additional notes, hints, and topics to think about. Parents will be able to easily help their students with the solutions manual, which includes step-by-step solutions to each problem in the student book; and quickly assess performance with the test book (test answers included). Tests are designed to be administered after every five lessons after the first ten. |
Mathematics
To achieve the goal, the department develops and improves its curriculum integrating strengths of American, Japanese and other countries' curricula. In particular, American textbooks contain various types of basic practice problems, which help students build a solid foundation of each mathematical concept, while Japanese textbooks and problem solving books contain many problems requiring multiple steps for their solution, which help students develop ability to apply their knowledge to solve complex problems. Both American and Japanese textbooks are used. Indian textbooks are also used to take advantage of their clear and easy-to-understand presentation of proofs of theorems and formulas.
The curriculum is constructed taking the cognitive development of each student into account. In general, more abstract concepts are introduced at higher grade levels. At each grade level, students are placed in one of two to three levels that best fits their cognitive and mathematical development. The goal for each level is set so that students will feel that they can reach the goal if, but only if, they put effort into studying mathematics. Each grade level has the following goal:
9th Grade
In the 9th grade, all students are required to take the course "Algebra and Geometry." The goal of this course is to develop student competence to deal with mathematical expressions, the basic language of mathematics. In particular, the course is designed to develop students' fluency in algebraic manipulations with polynomials and irrational numbers and to develop the ability to construct geometric proofs. Students are placed in either an intermediate or an honors level class, based on the results of a placement test. The course includes the following topics: Equations, Inequalities, Exponents and Polynomials, Polynomials and Factoring, Systems of Equations, Radical Expressions and Equations, Relations and Functions, Quadratic Equations, Introduction to Probability and Statistics; Congruent Triangle, Applying Congruent Triangles, Quadrilaterals, Similarity, Circles, Polygons and Areas, Surface Area and Volume.
10th Grade
In the 10th grade, all students are required to take the course "Algebra and Trigonometry." The goal of this course is to continue developing student competence to deal with mathematical expressions. The course develops fluency in algebraic manipulations, especially with rational and radical expressions, and in solving quadratic equations. Students are placed in either an elementary, intermediate or honors level class based on the results of a placement test. The course includes the following topics: Equations and Inequalities, Systems of Equations and Problem Solving, Polynomials and Polynomial Equations, Equations of Second Degree, Rational Expressions and Equations, Polynomial Functions, Powers, Roots, and Complex Numbers, Quadratic Equations, Relations, Functions and Graphs, Quadratic Functions and Transformations, Exponential and Logarithmic Functions, Trigonometric Functions, Trigonometric Identities and Equations, Counting and Probability.
11th Grade
In the 11th grade, all students are required to take the course "Pre-calculus." The goal of this course is to develop student competence in logical and abstract thinking. Building on the competence developed in previous courses, 11th grade students fully utilize their ability to understand mathematically-expressed abstract concepts and to express their own ideas mathematically. This training logical and abstract thinking will be extremely valuable throughout their lives. Students are placed either in an elementary, intermediate, or honors level class, based on their Algebra and Trigonometry course grades. The course includes the following topics: Trigonometric Functions, Introduction to Three dimensional Geometry, Vector Algebra, Permutations and Combinations, Binomial Theorem, Probability, Straight Lines, Conic Sections, Matrices, Determinants, Sequence and Series, Mathematical Induction, Three Dimensional Geometry.
The mathematics core curriculum is structured on mathematical content areas. To develop students' problem solving ability of utilizing knowledge of various mathematical content areas, 11th graders can elect "Advanced Problem Solving" course. Although the course mainly focuses on mathematical problems, it may include real world social, economical, and environmental problems as well. For students to qualify for the course, they must (1) be in an honor level Algebra and Trigonometry class at the end of the 10th grade and (2) participate in the American Mathematics Competition (AMC-10) during the 10th grade. The course includes the topics as follows: Combinatorics, Complex Numbers, Inversion in Plane, Mathematical Induction, Proofs by Contradiction, Sequence/Series, Basic Probability, Law of Sine/Cosine, Basic Mod Computation, Basic Functions and Graphs, Basic Geometry, Checking the Validity of the Answer, Working Backward, Work with Algebra and Geometry on a Same Problem, Analogy (Find Similar Problem), and Use of Symmetry.
12th Grade
In the 12th grade, all students are required to study calculus, and students who wish to major in science, mathematics, medicine, pharmacy, or engineering at college are required to study linear algebra as well. Students who wish to major in economics and commerce in college are strongly encouraged to take linear algebra. Other students may take linear algebra as an elective course. The goal of these courses is to introduce 12th graders directly to their study of mathematics at Keio University and other colleges in Japan and the United States.
"Calculus for Non-Science Majors" course includes the following topics and students will be placed either in an elementary or intermediate level class by grades of Pre-Calculus: Limits of Functions, Derivatives (The Chain Rule, Implicit Differentiation, Parametric Representation, Differentiation of Exponential and Logarithmic Functions, Higher Derivatives), Applications of Differentiation (Maxima and Minima, Inflexion Points, Graph Sketching), Indefinite Integrals (Method of Substitution, Integration by Parts, Partial Fractions), Definite Integrals and Applications (Areas and Volumes).
"Advanced Calculus & Linear Algebra for Science Majors" course is a requirement for students applying to faculty of science and technology, faculty of medicine and faculty of Pharmacy. The calculus part in this course deals with single variable calculus and includes the following topics: Limit of Functions, Continuity, Differentiation, Sketching a Graph, Integration including Integration by Parts and Integration by Substitution, Surface area, Volume, Polar Coordinates, Differential Equations and Infinite Sequences and Series. Linear algebra part in this course includes the following topics: Basic Notions of Vector Spaces, Systems of Linear Equations, Determinants, Eigenvalues and Eigenvectors, Inner Product Spaces up to Orthogonal Projection and Gram-Schmidt Orthogonalization. The calculus part will be taught in the first three quarters of the school year and the linear algebra part will be taught in the forth quarter. This is a very demanding fast paced course and all the students enrolled in the course are expected to devote a lot of time and effort to study outside of class by reading textbooks and solving problems in the textbooks |
Math
The College Prep math curriculum focuses on building a strong conceptual base that helps students to become flexible thinkers, able to apply the mathematics they have learned to a rapidly changing world.
Math teachers have designed materials for incremental learning and to address a variety of learning styles, including visual, auditory, and kinesthetic. Students learn concepts and skills by solving carefully sequenced problems; in class, students often work in cooperative groups. Teachers coordinate courses and review frequently so students retain important ideas from year to year. Instead of separate courses in algebra, geometry, and trigonometry, all three areas are addressed in each course of an integrated curriculum. Course materials introduce applications to science and other related fields and provide historical context.
Calculators and computers are important tools of modern mathematics. Teachers instruct students in their appropriate use, but also require a firm grasp of basic skills. Students are required to solve many problems without using calculators. The Math Department uses placement examinations, recommendations, and interviews to ensure that each student enrolls in the most suitable course sequence. Almost all students take four years of mathematics, even though only three are required. Math Club meets regularly to share ideas and investigate problems beyond the scope of the normal curriculum. All interested students are welcome to participate. The club also provides opportunities for students to take part in local and national mathematics competitions.
Math I
Concepts and applications of algebra, problem solving, and geometry are the main topics in this course, designed to prepare students with diverse mathematical backgrounds for Math II. Students learn how to use the scientific calculator to solve problems and use manipulatives extensively to develop spatial visualization skills. They often work together in small groups in the classroom, developing their collaborative skills and their ability to explain mathematics clearly. Students review and practice algebra skills in a wide variety of situations. Topics include proportional reasoning, geometric similarity and transformations, area and perimeter, linear and quadratic equations, and introductory statistics and probability. This course is coordinated with Integrated Laboratory Science.
Math II
This course covers topics from geometry and algebra. The curriculum encourages connections among topics by continually interweaving them. Emphasis is placed on the development of geometric intuition, deductive logic, proof, and a strong foundation in algebra. Group work is encouraged; activities are done in groups, sometimes with physical models and or computers. Class discussions and group activities enrich the learning experience by developing problem-solving and communication skills.
Math III/IIIA
The concept of function serves as a framework for this course. Mathematical modeling (deriving a mathematical expression from real-world data) is introduced, and students do experiments and use graphing calculators to gather information. Students purchase a course-specific graphing calculator and are instructed in its use. Algebraic skills are practiced within the context of solving problems, and geometric interpretations and graphing are emphasized. Students continue the study of linear and quadratic equations begun in Math I and Math II, adding new functions to their repertoire: polynomials, trigonometric functions, exponentials, and logarithms. This course is offered at two levels: Math IlIA and Math III. Both are college preparatory and cover functions and applications. Math IIIA is accelerated, covering topics usually included in algebra honors, trigonometry and precalculus. It prepares students for Level IIC of the College Board SAT Subject Test in Mathematics. Math III covers topics normally taught in advanced algebra and trigonometry.
Math Analysis & Intro Calculus
This course begins with material from pre-calculus, including a study of functions (polynomial, exponential, logarithmic and trigonometric) and their graphs. It continues with topics in analytic geometry, linear algebra, vectors and discrete mathematics. The course introduces topics from calculus, such as limits, continuity and derivatives and their applications. Students learn the material through lecture, group work, and homework.
Applied Math
This
course explores topics across a broad spectrum, including pre-calculus,
calculus, economics, finance, and statistics. The emphasis will be on
applications of mathematics to a variety of fields. In the first semester, we
will introduce some of the ideas of set theory, statistics (linear regression
models), economics (supply, demand) and finance (including simple and compound
interest). Second semester, we will continue with more finance (annuities and
loan amortization), probability, single variable statistics (normal curve
distributions) and calculus (limits, rates of change, derivatives, and
integrals). The goal is to expose students to a variety of techniques and
applications that will be useful in diverse academic pursuits as well as life
in general.
Math V: AP Calculus
This two-semester course covers differential and integral calculus at the college level. There are two versions. Math VAB is the basic course, covering techniques and applications of derivatives and integrals. It prepares students for the "AB" Advanced Placement Examination. Designed for the strongest math students, Math VBC covers the same material, as well as topics like infinite series and multivariable calculus and prepares students for the "BC" Advanced Placement Examination. The department advises students on which course to take based on their previous math work at College Prep. VBC is not recommended for students receiving lower than an A- in Math Analysis and Introduction to Calculus.
AP Statistics
How accurate are opinion polls? Where is the economy really heading? Can you believe the latest "study" about health and diet? The media appear to give definitive answers to questions like these, without examining how strong or weak the evidence really is. In Statistics, we look at how data are gathered and presented, and how certain the conclusions drawn from them are likely to be. This means using standard formulas, but we will also look at the math behind the formulas, including probability and its applications. There are lab exercises (sometimes with edible "equipment") and mini-projects in which students design and carry out original investigations. There are also informal discussions of items in the news. This two-semester course is equivalent to a semester of statistics in college and prepares students for the AP exam. It may be taken after or at the same time as Applied Math, or Math Analysis and Introductory Calculus.
The Art of Problem Solving
High
school math includes many beautiful topics, but there is so much more math that
is accessible to bright and curious high school students like you that we don't
include in our curriculum. There just isn't time to do it all. For those of you
hungry for more math, The Art of Problem Solving is for you. It is a
one-semester math elective which will cover topics in arithmetic, number
theory, and counting and probability, as well as some algebra and geometry that
isn't already covered in Math I, II, or III/IIIA. Students must have completed
Math III/IIIA or equivalent to enroll. You don't have to like math contests to
take this course, but if you do like them, this course might help you improve
your scores. However, the best reason to take this course is that you will
learn new math, and equally importantly, it will be interesting and fun.
Course Spotlight
AP Statistics
How accurate are opinion polls?
Where is the economy really heading?
Can you believe the latest "study" about health and diet?
The media appear to give definitive answers to questions like these, without examining how strong or weak the evidence really is. In Statistics, we look at how data are gathered and presented, and how
certain the conclusions drawn from them are likely to be. This means
using standard formulas, but we also look at the math behind the
formulas, including probability and its applications. |
I have a number of problems based on online rational expression calculator I have tried a lot to solve them myself but in vain. Our teacher has asked us to figure them out ourselves and then explain them to the whole class. I reckon that I will be chosen to do so. Please help me!
Due to health reasons you may have not been able to attend a few classes at school, but what if I can you can simulate your classroom, in the place where you live? In fact, right on the laptop that you are working on? All of us have missed some lectures at some point or the other during our life, but thanks to Algebra Buster I've never been left behind. Just like an instructor would explain in the class, Algebra Buster solves our queries and gives us a detailed description of how it was solved. I used it basically to get some help on online rational expression calculator and quadratic equations. But it works well for just about everything you can think of.
I'm also using Algebra Buster to help me with my algebra homework problems. It really does help you quickly comprehend certain topics like subtracting fractions and long division which would take days to understand just by reading tutorials. It's highly recommended software if you're looking for something that can help you to solve math problems and show all pertinent step by step solution. Two thumbs up for this software.
You all must be pulling my leg! How could this not be popular knowledge or promoted here? How and where should I get additional info for trying Algebra Buster? Forgive anyone for being a bit doubtful, but do either of you know whether or not I can receive a test copy to use this software? |
gebra 2, Student Edition
From the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests, these programs ...Show synopsisFrom the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests, these programs strengthen student understanding and provide the tools students need to succeed **COVERS AND PAGES HAVE BEEN CLIPPED IN THE TOP RIGHT...Fair. **COVERS AND PAGES HAVE BEEN CLIPPED IN THE TOP RIGHT CORNERS** Book is in good condition; cover shows considerable |
This book is a first introduction to linear algebra for students majoring in scientific, engineering and social science disciplines. It stresses both practical computation and theoretical principles, and proceeds at a very leisurely pace. One of its characteristic features is that it deals with systems of linear equations at an early stage and uses this theory for the introduction of later techniques and for the proofs of most of the usual vector space theorems. Vector spaces are initially introduced in terms of ${\bbfR}\sp n$, a later chapter gives a more formal treatment. This results in a fair amount of repetition but enables one to choose between a more elementary or more advanced course. The authors have included sections on applications such as difference equations, differential equations, interpolation and least squares approximation, and each chapter includes extensive exercise sections. For the second edition much of the material has been extended and the layout of the text has been improved. There is a new section on linear transformations, and an instructor's manual and a student solutions manual are now available.
Reviewer:
R.von Randow |
Algebraic Concepts: Symbolism/Apply The learner will be able to
apply algebraic symbolism and terminology of less than, greater than and equal to, as a tool to represent mathematical relationships students will understand that the term equal means same.
Number System: Understand/Counting The learner will be able to
demonstrate an understanding of the numeration system through a variety of counting methods; count by 2, 5, 10, & 25, know ordinal numbers to twentieth. |
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Starting at $0Schaum's Outline of Beginning Calculus
Summary
Confusing Textbooks? Missed Lectures? Tough Test Questions? .. ..This Schaum's Outline gives you:. . Practice problems with full explanations that reinforce knowledge . Coverage of the most up-to-date developments in your course field . In-depth review of practices and applications ..Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!..Schaum's Outlines-Problem Solved.. |
Basic MathematicsBasic Mathematics Book Description
Originally written to be appropriate for any classroom format, Basic Mathematics assumes no prior knowledge and patiently develops each concept, explaining the "why" behind the mathematics. Readers can actively learn from this book thanks to practice opportunities and helpful text features incorporated throughout the text. The user-friendly, spiral-bound format is available with an all-in-one Student Resources DVD-ROM set that includes video lectures for each section of the text, chapter test solutions on video, and the student solutions manual. This streamlined format conserves natural resources while also providing convenience and savings. Whole Numbers and Number Sense; Factors and the Order of Operations; Fractions: Multiplication and Division; Fractions: Addition and Subtraction; Decimals; Ratios, Proportions, and Percents; Measurement and Geometry; Statistics and Probability; Integers and Algebraic Expressions; Equations For all readers interested in basic mathematics.
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The book Basic Mathematics by Robert H Prior
(author) is published or distributed by Addison Wesley Longman [0321213793, 9780321213792].
This particular edition was published on or around 2008-11-1 date.
Basic Mathematics has Spiral binding and this format has 736 number of pages of content for use.
This book by Robert H Prior |
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Welcome to Algebra 1A. This class will cover six chapters of Algebra and will be worth ten semester credits (10 CR). You will need to complete ALL AREAS of Chapters 1-3, including the MIDTERM to receive your first five credits (5 CR). Then you must complete ALL AREAS of Chapters 4-6, including the FINAL for five more credits (5 CR) of Algebra.
Welcome to Algebra 1B. This class will cover six chapters of Algebra and will be worth ten semester credits (10 CR). You will need to complete ALL AREAS of Chapters 7-9, including the MIDTERM to receive your five credits(5 CR). Then you must complete ALL AREAS of Chapters 10-12, including the FINAL for your five credits (5CR) of Algebra. |
This course will emphasize the study of linear functions. Student will use functions to represent, model, analyze, and interpret relationships in problem situations. Topics include graphing, solving equations and inequalities, and systems of linear equations. Quadratic and nonlinear functions will be introduced. This course counts for high school credit and will become a permanent part of the student�s high school transcript. Grade 8 Algebra I will be factored into the student�s overall high school grade average/GPA. Students will be administered the 2012 STAAR EOC for Algebra I in May. Students EOC score will NOT count as 15% of their final Algebra I grade. In order to graduate from high school, students must achieve a cumulative score in each of the four core content areas. For each of the four core content areas, the student�s cumulative score ≥ n times student�s passing scale score, where n = number of assessments taken. For more information regarding the STAAR EOC go to the TEA website at
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When ever you turn in an assignment on notebook paper or a print out, you must include the following heading on your paper. |
worksheet will allow you to visually see how slope changes using dynamic text and Sliders. By using Sliders students can see how the slope or the steepness of the line changes with respect to the values of x and y. Students will al
Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques. In F.LE Equal Differences over Equal Intervals 2, students prove the property in general (for equal intervals of any length).
In this task students observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
In this task students have the opportunity to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
This lesson is designed for students to gather and analyze data about baseball figures. The student will use the Internet or other resources to collect statistical data on the top five home run hitters for the current season as well as their career home run totals. The students will graph the data and determine if it is linear or non-linear. |
gebra, the Easy Way
For use in schools and libraries only. Covers the fundamentals of algebra, including explanations of equations, negative numbers, exponents, roots, ...Show synopsisFor use in schools and libraries only. Covers the fundamentals of algebra, including explanations of equations, negative numbers, exponents, roots, functions, graphs, and logarithms |
2 Algebra
These lessons will help students understand how classroom lessons about lines of best fit, slope, quadratic equations, percent of change, polynomials, and the Pythagorean theorem are applicable to future careers.
The lessons address the following questions:
Lesson 1: How are best-fit lines important in many careers?
Lesson 2: How might a personal trainer use slope to analyze a workout and plan for future training sessions?
Lesson 3: How can finding the vertex of a parabola be a useful career skill?
Lesson 4: How are formulas containing radicals — such as those for sight distance — useful to the military and in other careers?
Lesson 5: How can the ability to calculate percent of change be important in retail careers?
Lesson 6: How might a postal worker use polynomials to determine whether boxes of different sizes meet the post office's shipping requirements?
Lesson 7: How is the Pythagorean theorem useful to utility workers?
Lesson 8: How can matrices be used to display and interpret data in various careers?
Lesson 9: How is the concept of exponential growth important in banking careers?
Lesson 10: How can using elimination or substitution in a system of equations determine important statistics in sports |
TI-Nspire™ CAS with Touchpad
CAS Comparison Chart
CAS stands for Computer Algebra System. Using a CAS system on a calculator means that the calculator will be able to perform symbolic manipulation of variables without a value being assigned to those variables. The comparison chart below gives some examples of how answers might look different on TI-Nspire CAS as opposed to TI-Nspire and also some of the additional functionality of TI-Nspire CAS. Here are some of examples of the types.
Mathematical constants and variables are recognized and simplified symbolically
Simplify trigonometric identities
Will give exact values for special angles on the unit circle
Algebraic calculations
TI-Nspire handheld
TI-Nspire CAS handheld
Find approximate values for solution of an equation
Exact and approximate values for solutions of an equation
Polymonials are factored and expanded
Complex solutions and zeros can be found
Calculus calculations
TI-Nspire handheld
TI-Nspire CAS handheld
Find numerical approximations of the derivative at a point
Find numerical approximations of the integral value for a given interval
Calculate limits of an expression (including right-hand and left-hand limits)
Find derivatives of function as well as find a derivative at a point
Find values for definite and indefinite integrals
Uses correct notion for derivatives and integrals as students would see in a textbook or write on paper
CAS can help students develop algebraic patterns. In these examples, CAS is used as a learning tool and can help students discover the algebra themselves. This allows for a solid conceptual understanding and can provide a basis for learning of by-hand symbolic manipulation. |
Description: Presentation by Maria H. Andersen. The process of learning algebra should ideally teach students good logic skills, the ability to compare and contrast circumstances, and to recognize patterns and make predictions. In a world with free CAS at our fingertips, the focus on these underlying skills is even more important than it used to be. Learn how to focus on thinking skills and incorporate more active learning in algebra classes, without losing ground on topic coverage |
stu... read moreElementary Concepts of Topology by Paul Alexandroff Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
An Introduction to Algebraic Topology by Andrew H. Wallace This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. 1961Counterexamples in Topology by Lynn Arthur Steen, J. Arthur Seebach, Jr. Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.
Differential Topology: First Steps by Andrew H. Wallace Keeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. 1968 edition.
General Topology by Stephen Willard Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.Real Variables with Basic Metric Space Topology by Robert B. Ash Designed for a first course in real variables, this text encourages intuitive thinking and features detailed solutions to problems. Topics include complex variables, measure theory, differential equations, functional analysis, probability. 1993Product Description:
students to acquire a feeling for the types of results and the methods of proof in mathematics, including mathematical induction. Subsequent problems deal with networks and maps, provide practice in recognizing topological equivalence of figures, examine a proof of the Jordan curve theorem for the special case of a polygon, and introduce set theory. The concluding chapters examine transformations, connectedness, compactness, and completeness. The text is well illustrated with figures |
Math 110: College Algebra
Course Objectives: This course is designed to cause the student to learn traditional college algebra concepts and problem solving skills. It should serve to prepare students for Math 180, Math 230, Math 265, or Math 270.
Prerequisite: Acceptable placement score or C grade in Math 001 or equivalent (typically high school algebra). See me right away if you have a question about your math background as it relates to this reqt. Text: College Algebra: Concepts and Models, second edition, by Larson, Hostetler, and Hodgkins. Heath. 1996. References: There are a number of college algebra texts in my office and in the library.
Note: Grades are based on points allocated above. No extra credit. Typically, 90%+ is A, 80%+ is B, 70%+ is C, and 60%+ is D.
Note: Quizzes are "open book, open notes"; exams are "closed book, closed notes".
Note: All tests taken in regular classroom at scheduled times. No exams taken in learning center unless diagnosed learning disability exists (verified by Mr. Wojeichowski in writing).
Note: Final exam must be taken at regularly scheduled time (Tuesday, December 14, 7:40 - 9:40) unless approved in writing by the Dean.
Attendance: Required. See Viterbo College catalog, page 36. All guidelines followed.
A valid verifiable excuse must be presented in order to make up missed exams or quizzes. "I overslept", "My ride is leaving early for vacation/ the weekend/ etc.", "I had a busy week and didn't have time to study" are examples of NON-valid excuses. Make-up exams for valid excused absences must be done in a timely manner, usually within one week of return.
Calculating Equipment: Hand-held calculators are permitted for quizzes and exams.
Cheating: First offense - half credit on pertinent work; second offense - zero credit on pertinent work; third offense - failure in the course.Note: accommodation for special test-taking needs will be made only after these needs are confirmed in writing by Mr. Wojciechowski. |
02061
Requirements
Prerequisites
Algebra is recommended Students will build mathematical skills that will allow them to solve problems and reason logically. Students will be able to communicate their understanding by organizing, clarifying, and refining mathematical information for a given purpose; students will use everyday mathematical language and notation in appropriate and efficient forms to clearly express or represent complex ideas and information.
COURSE OBJECTIVES: The purpose of this course is to provide students with an overview of the many mathematical disciplines. Topics included are number sense, geometry, algebra, measurement, probability and statistics, and data interpretation. Assessments within the course include multiple-choice, short answer, or extended response questions. Also included in this course are self-check quizzes, audio tutorials, web quests and interactive games. |
GEOMETRY '11-'12 MRS. ELROD COURSE OUTLINE AND CLASSROOM POLICIES Hi! Welcome to another great year at Buena High School! Please read through the information below, keep it available in your binder, and sign and return the tear-off part. 1. Course Description: Geometry is a College-Preparatory course designed to introduce students to rigorous upper level mathematics. Geometric Proofs, logic, inductive and deductive reasoning will be heavily stressed (semester 1), as well as developing and using formulas for geometric shapes. (semester 2) Topics include theorems about lines and angles, triangle results, including congruence and similarity, Pythagorean Theorem and Trigonometry, Polygons, Circles, Solids and transformations. 2. Course Outline: 1st semester: chapters 1-6 in textbook, as well as several projects. 2nd semester: chapters 8, 9, 10, 11, 12, and 7 in textbook, as well as several projects. California Standards for Geometry will be taught throughout the year. See website for current state standards. 3. Textbook: GEOMETRY by McDougal Littell (blue book) Textbook must be covered, returned in good condition, and cared for while on loan to the student. BRING YOUR BOOK TO CLASS EVERY DAY!!! 4. Grading System: All assignments are expected to be done neatly, on time, and honestly. a. Overall grade is calculated as a weighted average, described below. Homework 10% - must be done completely, with work shown, and turned in on time. Late homework (1 day) will be accepted at half-credit. HOMEWORK IS ASSIGNED FREQUENTLY! Participation 10% - notes, supplies, cooperation, class participation, projects, classwork. Quizzes 30% - Twice a week, usually. Often announced, sometimes unannounced (pop quiz) Tests 50% - All tests will be announced. Passing grade for tests, quizzes and the class is 60%. *************************************************************************** * To be eligible to take the chapter tests, a student must have all homework turned in * * before the test day. Any student who chooses to avoid his/her homework will be * * expected to complete their homework during the test, and MAKE UP THE TEST DURING * * BARK PERIOD. * *************************************************************************** b. Calculation of overall grade 95% - 100% = A+ 75% - 79% = C+ 90% - 94% = A 70% - 74% = C 85% - 90% = B+ 65% - 69% = D+ - avoid this!! 80% - 84 % = B 60% - 64% = D - avoid this!! Below 60% is failing, and will receive an F c. Make-up work for EXCUSED absences - must be done within a "reasonable" amount of time - Typically, one day of make-up time for each day of absence. It is the student's responsibility to get any missed notes from a classmate. Missed exams or quizzes must be made up within one week. The student is expected to pursue and complete all missing assignments. Those not made up within the stated time frame will receive a score of Zero. d. ZANGLE and Student Connect. I post grades regularly on Zangle – usually within a week. e. Cheating Policy (VUSD) A student who attempts to or gains an unfair advantage over any other student because of unacceptable behavior is subject to the following: Level One - zero on the assignment or test, conference with the student, contact the parent and send copy of form B to both parent and the Assistant Principal Level Two - zero on the assignment, 2 day suspension by the Assistant Principal, notify parent with Form C, parent conference Level Three - zero on the assignment, 5 day suspension by the Assistant Principal, notify parent with Form C, parent conference Level Four – Student shall be transferred from the high school and placed in alternative placement 5. Rules and Expectations. My rules are fairly simple – RESPECT for all - This means treat others how you wish to be treated. Use appropriate language and tone. Respect property – DO YOUR BEST. What you get from this class depends largely on what you put into it! – SEEK RESOLUTIONS TO PROBLEMS - don't ignore them, they could get worse. – FOLLOW CLASSROOM EXPECTATIONS Students will be expected to · Be in their seatwhen the tardy bell rings, with BOOK, supplies, ready to begin · Participate in all class work. Stay focused. · Pay attention, take notes during instruction, and ask questions · Keep all electronic distractions in their backpacks. CD players, video games and cell phones will be turned over to their administrator if used during class · Stay in assigned seat until dismissed. -TARDY It is important to be on time and prepared for class when the bell rings. I keep track of tardy arrivals; you will be expected to serve a class detention for your tardies. 6. Consequences Failure to meet the above rules and expectations will result in disciplinary action, according to school policy. (Verbal reminder, conference, removal of privilege, phone call to Parents, counseling referral, administrative referral.) 7. SUPPLIES – to be well prepared, please bring to class ●A 3-ring binder: 2 inches is best. You'll be getting lots of papers. ●Dividers – separate notebook into Notes/Homework/Journals/Quizzes/Extra Paper ●Loose leaf paper ●Graph paper ●Pencils! # 2 pencils, an eraser and colored pencils (pens are not for math) ●Highlighters ●Book Cover – not the adhesive kind ●a Compass and Protractor ●A scientific calculator. I recommend the TI-30Xa or similar. 8. Contact information. Please contact me with any questions or concerns. Student success is the goal, and I am happy to discuss any ways to help your student succeed. 805-289-1842, ext 2151 or [email protected] my web page is vusdmathelrod.weebly.com Sincerely, Diane B. Elrod Please sign and return the agreement form on the next page. Please detach, and return the bottom portion of this letter by Friday, 8/26/2011 I/We have read the included policies and support them. ______________________________________ ____________ PRINT student name PERIOD ______________________________________ ______________________________ STUDENT SIGNATURE PARENT/GUARDIAN SIGNATURE Parents, please provide a phone number where you can be reached, and the best time to contact you between the hours of 8am and 9pm Time _____________ Work # ____________ Home # ____________ Cell # ____________ |
Linear algebra is a division of algebra which includes theory of systems of linear equations and other elements such as matrices, vector spaces and determinants. Matrix can be defined as a set of numbers laid out in rows and columns which has a variety of applications in the fields of encryption, games and economics.
For any Linear And Matrix Algebra assignment help related queries, you may contact us through our LIVE CHAT facility. We are now available 24/7 online to assist you on all your Linear And Matrix Algebra |
With acclaimed titles like The Manga Guide to Physics and The Manga Guide to Calculus, the best-selling Manga Guide series from No Starch Press is changing the way students think about math and science. By combining real mathematical content with authentic Japanese manga, the Manga Guides take the sting out of learning complex topics.
The latest in the series, The Manga Guide to Linear Algebra, helps math and computer science students wrap their brains around a tricky required course—linear algebra. The book uses the story of a university student and her tutor (a wannabe karate champ) to keep readers engaged while they learn the fundamental concepts of linear algebra... |
These classes use a hybrid format. Students are required to come to the
Math Lab in the Learning Center at Bakersfield College for Orientation
and for all Proctored
Assessments. All classes are taught using the Internet-based program,
ALEKS. The student may choose to read ALEKS in English or Spanish. The
ALEKS website can be found at
Hours/Location:The Math Lab is
located in the Learning Center, in the Student Services Building, above the Counseling Offices. A
stairway is in the breezeway at either side of the building.
Hours are Monday and Thursday, 8:30 am - 5:50 PM and Tuesday and
Wednesday, 8:30am–6:50 pm and Fridays,
8:30am–12:20pm. (Summer session: Monday through Thursday,
11am–6:50pm.)
THE MATH LAB IS A CLASSROOM. AS A COURTESY TO ALL STUDENTS,
CELL PHONES MUST BE TURNED OFF OR SILENCED. NO VISITING WITH OTHER
STUDENTS, FOOD, DRINKS (OTHER THAN WATER) OR CHILDREN ARE ALLOWED.
Required
Supplies:ALEKS student
access code. The access code and workbook may be
purchased at the BC bookstore front cash register or the Delano campus after attending orientation.
It is also available for purchase online from the ALEKS website.
Course
Code:Course Code information for accessing ALEKS is given out during orientation.
Textbook:The ALEKS program is not textbook specific. Any appropriate algebra
book may be used in conjunction with the course.
Textbooks bundled with the ALEKS program, Prealgebra by Martin-Gay,
and Elementary Algebra or Intermediate Algebra by Dugoploski,
are available but not required. The Dugoploski texts are
available to download by section at no extra charge directly from
ALEKS.
Grading:Grading for the class is based solely on results of ProctoredAssessments
taken on the ALEKS program. Proctored Assessments may only be taken
at the Math Lab at Bakersfield College. Students must present a picture ID. Only the calculator
provided by the ALEKS program may be used during the Proctored Assessment.
You are required to come in at least four times during the semester to
test. If you come in four or more times to test, your highest score will
be the score that counts for a grade. If you come in fewer than 4 times
to test, we will average your two highest scores to get your grade for
the course. The grading scale for all three courses is shown below:
Math B50:100-90% = A, 89-80% =
B, 79-70% = C, 69-55% = D, 54% and below = F
Math B60:100-90% = A, 89-80% =
B, 79-70% = C, 69-55% = D, 54% and below = F
Math B70:100-90% = A, 89-80% =
B, 79-70% = C, 69-55% = D, 54% and below = F
Drop
Policy:Each student is expected to put in a minimum
of 8 hours each week (11 hrs/week for Summer session) on the ALEKS
program. To check your hours, see "Total time on the ALEKS program" under
Report. Time on the ALEKS
program may be done from any Internet-accessible computer. Student
time is checked each Tuesday morning. Excess time one week is credited
toward future weeks. Students are required to to put in 4 hours the
first week, then 8 hours per week after that. If a
student has not done 4 hours in the first week they will be dropped; if
they make up the total time during the second week they may request to
reinstate. In later weeks if the student is 11 or more hours short on
time, the student will be dropped from the course and may request a
one-time only reinstatement. If a student becomes 11 or more hours short
on time again after being reinstated, he or she will be dropped
from the course a second time and will not be reinstated without
permission from the instructor.
Tutoring:All students are strongly encouraged to come to the Math Lab to get
face-to-face, one-on-one help. We definitely do not expect you to work
on the program without the help of an instructor. The Math Lab has
faculty and staff ready to help you understand and be successful. You
may use the computers in the Math Lab when you need help, or whenever
you have some time between classes and would like to work on your ALEKS
account. If you find you are having trouble with a topic at home, make a
note of the topic or print the page and move on to a different topic.
Then come to the Math Lab and let us help you. However, we do not offer
help with math problems over the phone or by e-mail. Click "LINKS" at
the bottom of this page for online sources for math help.
Incomplete
Policy:Students may request an Incomplete grade at the end of the semester
in order to complete the class the following semester. A request form for
an Incomplete will be available at the Testing Desk in the Math Lab during the
last two weeks of class (during summer, last week only).Details
on how to qualify for an Incomplete can be found on your syllabus
(distributed during orientation). If a student fails to complete
the material the following semester, the Incomplete grade automatically
becomes an F. If you are receiving Financial Aid based on units, the units
for your class count only during the semester you originally enrolled in
the class.
Transfer
Policy: In
order to be allowed to transfer to one of the ALEKS-based hybrid Math
courses after the 60% drop date (the last day to drop a semester-length
class with a "W"), you must obtain approval from the Mathematics
department chair (MS-107E, 395-4331) with a form that can be obtained at
the Math Lab.Once
approved, the form must be returned to the Math Lab and you
must complete an orientation.At
that time, you will be provided with a transfer form totake to the Admissions & Records office for completing the
transfer process.
Disability
Services:Students with disabilities who believe they may need accommodations in
this class are encouraged to contact Disabled Student Programs &
Services in FACE 16, 395-4334, as soon as possible to better ensure such
accommodations are implemented in a timely fashion.
Academic
Dishonesty:Any form of academic dishonesty will not be tolerated and will
result in a zero for that assignment. This is the only warning you will
receive. See the Student
Handbook for possible disciplinary consequences of Student Misconduct
at Bakersfield College. |
Science Books
Algebra for Dummies
One of the most commonly asked questions in a mathematics classroom is, "Will I ever use this stuff in real life?" Some teachers can give a good, convincing answer; others hem and haw and stare at the floor.
The real response to the question should be, "Yes, you will, because algebra gives you power" – the power to help your children with their math homework, the power to manage your finances, the power to be successful in your career (especially if you have to manage the company budget).
The list goes on.
Algebra is a system of mathematical symbols and rules that are universally understood, no matter what the spoken language.
Algebra provides a clear, methodical process that can be followed from beginning to end to solve complex problems.
There's no doubt that algebra can be easy to some while extremely challenging to others.
For those of you who are challenged by working with numbers, Algebra For Dummies can provide the help you need.
For more information about the title Algebra for Dummies, read the full description at Amazon.com, or see the following related books:
Calculus for Dummies — The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat. Others who have no |
The knowledge and skills of mathematics,
science, and technology are used together to make informed decisions and solve problems,
especially those relating to issues of science/technology/society, consumer decision
making, design, and inquiry into phenomena.
analyze science/technology/society
problems and issues that affect their home, school, or community, and carry out a remedial
course of action.
make informed consumer decisions by
applying knowledge about the attributes of particular products and making cost/benefit
tradeoffs to arrive at an optimal choice.
design solutions to problems involving a
familiar and real context, investigate related science concepts to inform the solution,
and use mathematics to model, quantify, measure, and compute.
observe phenomena and evaluate them
scientifically and mathematically by conducting a fair test of the effect of variables and
using mathematical knowledge and technological tools to collect, analyze, and present data
and conclusions.
analyze science/technology/society
problems and issues at the local level and plan and carry out a remedial course of action.
make informed consumer decisions by
seeking answers to appropriate questions about products, services, and systems;
determining the cost/benefit and risk/benefit tradeoffs; and applying this knowledge to a
potential purchase.
design solutions to real-world problems of
general social interest related to home, school, or community using scientific
experimentation to inform the solution and applying mathematical concepts and reasoning to
assist in developing a solution.
describe and explain phenomena by
designing and conducting investigations involving systematic observations, accurate
measurements, and the identification and control of variables; by inquiring into relevant
mathematical ideas; and by using mathematical and technological tools and procedures to
assist in the investigation.
analyze science/technology/society
problems and issues on a community, national, or global scale and plan and carry out a
remedial course of action.
analyze and quantify consumer product
data, understand environmental and economic impacts, develop a method for judging the
value and efficacy of competing products, and discuss cost/benefit and risk/benefit
tradeoffs made in arriving at the optimal choice.
design solutions to real-world problems on
a community, national, or global scale using a technological design process that
integrates scientific investigation and rigorous mathematical analysis of the problem and
of the solution.
explain and evaluate phenomena
mathematically and scientifically by formulating a testable hypothesis, demonstrating the
logical connections between the scientific concepts guiding the hypothesis and the design
of an experiment, applying and inquiring into the mathematical ideas relating to
investigation of phenomena, and using (and if needed, designing) technological tools and
procedures to assist in the investigation and in the communication of results.
Solving interdisciplinary problems
involves a variety of skills and strategies, including effective work habits; gathering
and processing information; generating and analyzing ideas; realizing ideas; making
connections among the common themes of mathematics, science, and technology; and
presenting results.
Working Effectively: Contributing to the
work of a brainstorming group, laboratory partnership, cooperative learning group, or
project team; planning procedures; identify and managing responsibilities of team members;
and staying on task, whether working alone or as part of a group.
Gathering and Processing Information:
Accessing information from printed media, electronic data bases, and community resources
and using the information to develop a definition of the problem and to research possible
solutions. |
Synopses & Reviews
Publisher CommentsLearn all aspects of trigonometry:
* How angles are expressed
* The relationships between angles and distances
* Calculating distances based on parallax
* Coordinate systems and navigation
* And much more!
Synopsis:
Includes bibliographical references (p. 297) and index.
SynopsisAbout the Author
Stan Gibilisco is one of McGraw-Hill's most diverse and best-selling authors. His clear, friendly, easy-to-read writing style makes his electronics titles accessible to a wide audience and his background in mathematics and research make him an ideal handbook editor. He is the author of The TAB Encyclopedia of Electronics for Technicians and Hobbyists Teach Yourself Electricity and Electronics, and The Illustrated Dictionary of Electronics. Booklist named his book, The McGraw-Hill Encyclopedia of Personal Computing, one of the Best References of 1996.
"Synopsis"
by ,
Includes bibliographical references (p. 297) and index.
"Synopsis"
by McGraw, |
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