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Cl, you'll be ready to tackle other concepts in this book such as
Arithmetic and algebraic skills
Functions and their graphs
Polynomials, including binomial expansion
Right and oblique angle trigonometry
Equations and graphs of conic sections
Matrices and their application to systems of equations
Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Pre-Calculus Super Review includes sets, numbers, operations and properties, coordinate geometry, fundamental algebraic topics, solving equations and inequalities, functions, trigonometry, exponents and logarithms, conic sections, matrices, and determinants. Take the Super Review quizzes to see how much you've learned - and where you need more study. Makes an excellent study aid and textbook companion. Great for self-study!
Calculus Equations & Answers ( Quickstudy: Academic ) For every student who has ever found the answer to a particular calculus equation elusive or a certain theorem impossible to remember, QuickStudy comes to the rescue! This 3-panel (6-page) comprehensive guide offers clear and concise examples, detailed explanations and colorful graphsall guaranteed to make calculus a breeze! Easy-to-use icons help students go right to the equations and problems they need to learn, and call out helpful tips to use and common pitfalls to avoid. Item:142320856
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Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra, geometry, and trig. It builds upon and is a logical extension of those subjects. If you can do algebra, geometry, and trig, you can do calculus.
Calculus For Dummies is intended for three groups of readers:
Students taking their first calculus course – If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series.
Students who need to brush up on their calculus to prepare for other studies – If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, Calculus For Dummies will give you a thorough, no-nonsense refresher course.
Adults of all ages who'd like a good introduction to the subject – Non-student readers will find the book's exposition clear and accessible. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth.
This useful guide helps both new students and those who need a refresher course to acquire practical skills in calculus through a series of 20 lesson plans that require a minimal time commitment. All key calculus topics are covered, from common functions and their graphs to differentiation, integration, and infinite series. The book contains hundreds of practice exercises without a lot of unnecessary theory or math jargon. Bonus sections offer additional resources and tips for taking standardized tests. | 677.169 | 1 |
Discrete Mathematics and Combinatorics provides a concise and practical introduction to the core components of discrete mathematics, featuring a balanced mix of basic theories and applications. The book covers both fundamental concepts such as sets and logic, as well as advanced topics such as graph theory and Turing machines. The example-driven approach will help readers in understanding and applying the concepts. Other pedagogical tools-illustrations, practice questions, and suggested reading-facilitate learning and mastering the subject. | 677.169 | 1 |
MAA Review
[Reviewed by Allen Stenger, on 06/22/2010]
This is a very modest revision of the already-excellent second edition. It in an inquiry-based text and has what is probably a unique approach to a math appreciation course: rather than focusing on fun math or useful math, it tries to teach how mathematicians think and approach problems.
Although this third edition is 200 pages longer than its predecessor, much of the increase is due to reformatting, with about 80 pages of new material. Most of the book is completely unchanged. There is a new section in Chapter 5 on the Koenigsberg Bridge problem and Eulerian circuits, and Chapter 6 has been rearranged. The old Chapter 7, "Taming Uncertainty," has been split into separate chapters on probability and on statistical analysis of data and statistical inference. Most of the book's new material is in this new statistics chapter. This chapter adds a number of interesting real-world problems, such as "what exactly does 30% chance of rain mean?" and a look at the 1969 Vietnam draft lottery, where statistical data makes it clear that the draws were not randomized enough.
Bottom line: An improvement over an already-great text, but the improvements are fairly far along in the text and most courses will not get that far. Unfortunately, the existence of a new edition makes obsolete (in the eyes of booksellers) the previous perfectly-good edition.
Allen Stenger is a math hobbyist and retired software developer. He is webmaster and newsletter editor for the MAA Southwestern Section and is an editor of the Missouri Journal of Mathematical Sciences. His mathematical interests are number theory and classical analysis. He volunteers in his spare time at MathNerds.com, a math help site that fosters inquiry learning. | 677.169 | 1 |
UAF Core Curriculum in Mathematics
The goals of the mathematics core curriculum are to ensure that students develop basic numeracy skills, are able to employ problem solving strategies, can communicate mathematical concepts, and are able to construct and evaluate mathematical arguments. | 677.169 | 1 |
With 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: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises. In addition to a brief algebra review and the core precalculus topics, PRECALCULUS WITH LIMITS covers analytic geometry in three dimensions and introduces concepts covered in calculus.
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.
Get a good grade in your precalculus course with PRECALCULUSClear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text like you. The book also provides calculator examples, including specific keystrokes that show you how to use various graphing calculators to solve problems more quickly. Perhaps most important-this book effectively prepares you for further courses in mathematics.
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. integrating projects and other interactive learning tools for use in the classroom or online.
Suitable for either one or two semester college algebra with trigonometry or precalculus courses, Precalculus introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A MathZone site featuring algorithmic exercises, videos, and other resources accompanies the text.
Get a good grade in your precalculus course with Cohen's PRECALCULUS: A PROBLEMS-ORIENTED APPROACH and it's accompanying CD-ROM! Written in a clear, student-friendly style and providing a graphical perspective so you can develop a visual understanding of college algebra and trigonometry, this text provides you with the tools you need to be successful in this course. Preparing for exams is made easy with iLrn, an online tutorial resource, that gives you access to text-specific tutorials, step-by-step explanations, exercises, quizzes, and one-on-one online help from a tutor. Examples, exercises, applications, and real-life data found throughout the text will help you become a successful mathematics student! | 677.169 | 1 |
Graphs In Discrete Mathematics
posted on: 25 May, 2012 | updated on: 29 Aug, 2012
Discrete mathematics is a distinct mathematical term rather than being continuous term. Graph, integers, etc. are the part of discrete mathematics it excludes the topics such as of Calculus and analysis, etc. or in short we can say discrete mathematics deals with the countable Sets. As such there is no specified definition of discrete mathematics.
Graph in discrete mathematics can be studied with the help of graph theory which is also considered as the part of combinatorics, but in the present era it is a separate branch of mathematics first investigated by D.König in the year 1930.
Also graphs are considered to be the prime subject in the discrete mathematics. graph theory discrete mathematics is considered among the omnipresent model of both the natural and the structures which are made by man. They can mold many type structures and Relations such as method dynamics in physical, social and biological system. They have their several uses in many fields like in computer science they represent communication network, organization of data, help in the flow of computation, data organization, etc. in the field of mathematics, they can be used in the Geometry and also in many areas of topology. Also the group theory has a close link with the algebraic graph theory.
Discrete mathematics is also known as finite mathematics and the decision mathematics. As it is given above that it studies the countable Sets but it is different from continuous graph, we must not mix continuous graph with the graph theory. The graphs in discrete mathematics are of the many types few of them are simple graph, multi graph, directed graph, pseudo graph and many more. Now we will see brief description about these graphs:
1. The simple graphs are un- weighted and not in the particular direction and they have no loops but they have multiple edges.
2. The graphs which have multiple edges are multiple graphs.
3. The graphs which are connected with the Set of nodes and with its edges are directed graph.
4. Pseudo graph has the multiple edges and the graph loops connect them.
Topics Covered in Graphs In Discrete Mathematics
In field of science, graph theory is one of the very important concepts which describes that how a graph models different type of mathematical structures and also it can be used for all those structures which are created by human beings.
Also graphs are ubiquitous models which may be useful for various Relations.
Graphs has wide use due to their practical im...Read More
Path can be defined as distance traveled by an object from one Point to another. Points are called vertices of the path. Let there be two vertices A and B, then path between these two vertices is called A – B path. The distance between these two points or vertices is known as edge. Hence a path may include several vertices and edges. The Set of vertices and edges ac...Read More
Cycle graph can be defined as a graph which is comprised of single cycle. In other words, if vertices in given graph are connected in a closed form then graph is called as cycle graph. A cycle graph may can also be referred to circular graph. In a cycle graph, if there are 'n' vertices then cycle graph will be denoted by C n and number of vertices (nodes) in C n is...Read More
Connectivity is related to the network flow problems. It is used to find out the minimum number of vertices or edges which can be used to disconnect the remaining nodes from each other. Connectivity of a graph actually shows the robustness of the graph. If there are two nodes or vertices A and B, then they will be said connected if there is a path from A to ...Read More | 677.169 | 1 |
MERLOT Search - materialType=Open%20Textbook&category=2514&sort.property=overallRating
A search of MERLOT materialsCopyright 1997-2013 MERLOT. All rights reserved.Fri, 24 May 2013 16:44:53 PDTFri, 24 May 2013 16:44:53 PDTMERLOT Search - materialType=Open%20Textbook&category=2514&sort.property=overallRating
4434A First Course in Linear Algebra
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form.PDF versions are available to download for printing or on-screen viewing, an online version is available, and physical copies may be purchased from the print-on-demand service at Lulu.com. GNU Free Documentation LicenseAlgebra: Abstract and Concrete
The book provides a thorough introduction to "modern'' or "abstract'' algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme.A Problem Course in Mathematical Logic
A Problem Course in Mathematical Logic is intended to serve as the text for an introduction to mathematical logic for undergraduates with some mathematical sophistication. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is for the students, individually or in groups, to learn the material by solving the problems and proving the results for themselves. The book should do as the text for a course taught using the modified Moore-method.The material and its presentation are pretty stripped-down and it will probably be desirable for the instructor to supply further hints from time to time or to let the students consult other sources. Various concepts and and topics that are often covered in introductory mathematical logic or computability courses are given very short shrift or omitted entirely, among them normal forms, definability, and model theory.A ProblemText in Advanced Calculus
Advanced Calculus open textbook. Download LaTeX source or PDF. Creative Commons BY-NC-SA.Advanced Algebra II: Activities and Homework
This is a free online textbook designed for the Advanced Algebra instructor. According to the author, he "developed a set of in-class assignments, homework and lesson plans, that work for me and for other people who have tried them. The complete set comprises three separate books that work together:•The Homework and Activities Book contains in-class and homework assignments that are given to the students day-by-day." "•The" target=״_blank״> Concepts Book provides conceptual explanations, and is intended as a reference or review guide for students; it is not used when teaching the class." •The" target=״_blank״> Teacher's Guide provides detailed lesson plans; it is your guide to how the author "envisioned these materials being used when I created them (and how I use them myself) " target=״_blank״> Instructors should note that this book probably contains more information than you will be able to cover in a single school year."Advanced Algebra II: Conceptual Explanations ( and the "Advanced Algebra II: Teacher's Guide" ( collections to make up the entire course.Algebra for College Students, 3rd ed.
" Algebra for College Students is designed to be used as an intermediate level text for students who have had some prior exposure to beginning algebra in either high school or college. This text explains the why's of algebra, rather than simply expecting students to imitate examples.״Please note that this site will try to sell supplements and you must create an account. However, there is no charge for the download of the textbook. As noted on the website, "Free access to the online book. Includes StudyBreak Ads (advertising placed in natural subject breaks)."Algebra I
CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the high school student. Topics include: Equations & Functions, Real Numbers, Equations of Lines, Solving Systems of Equations & Quadratic Equations.Analysis
This is a free, online textbook that is also part of an online course. According to the author, "Analysis is the study of limits. Anything in mathematics which has limits in it uses ideas of analysis. Some of the examples which will be important in this course are sequences, infinite series, derivatives of functions, and integrals. As you know from calculus, limits are the basis of understanding integration and differentiation, and, as you also know from calculus, these things are the basis of everything in the world you could ever need to know.״ | 677.169 | 1 |
More About
This Textbook
Overview
This is a masterly introduction to the modern and rigorous theory of probability. The author adopts the martingale theory as his main theme and moves at a lively pace through the subject's rigorous foundations. Measure theory is introduced and then immediately exploited by being applied to real probability theory. Classical results, such as Kolmogorov's Strong Law of Large Numbers and Three-Series Theorem are proved by martingale techniques. A proof of the Central Limit Theorem is also given. The author's style is entertaining and inimitable with pedagogy to the fore. Exercises play a vital role; there is a full quota of interesting and challenging problems, some with hints.
Editorial Reviews
From the Publisher
"Williams, who writes as though he were reading the reader's mind, does a brilliant job of leaving it all in. And well that he does, since the bridge from basic probability theory to measure theoretic probability can be difficult crossing. Indeed, so lively is the development from scratch of the needed measure theory, that students of real analysis, even those with no special interest in probability, should take note." D.V. Feldman, | 677.169 | 1 |
The Math Gateway mathgateway.maa.org
In 2004 the National Science Foundation awarded the Mathematical Association of America a Pathways Grant as part of the National STEM (STEM is NSF-speak for Science, Technology, Engineering, and Mathematics) Digital Library (NSDL) Program. This four-year grant is supporting the creation of a portal, The Math Gateway, for undergraduate mathematics materials within NSDL. This project is bringing together collections with significant mathematical content and services of particular importance to the delivery and use of mathematics on the Web.
The Math Gateway project is an outgrowth of the Mathematical Sciences Conference Group on Digital Educational Resources. This group of individuals with an interest in online mathematics has met each year for the past four years at MAA headquarters. Many of the organizations represented at these meetings will participate in the Math Gateway. The initial participating organizations/collections are listed below.
Math Forum
( The Math Forum is one of the oldest online resources in mathematics with a particular emphasis on K-12 mathematics.
iLumina
( The iLumina site, hosted at the University of North Carolina at Wilmington, is one of the oldest collections in the NSDL.
CAUSE
( The Consortium for the Advancement of Undergraduate Statistics Education is a project of the American Statistical Association.
Demos with Positive Impact
( This project is managed by Lila Roberts of Georgia College and State University and Dave Hill of Temple University. The site provides teachers with demos and accompanying information on how these demos might be used.
National Curve Bank
( This site, directed by Shirley Gray at Cal State Los Angeles, has a wide range of online mathematical resources including an audio file of Tom Lehrer singing New Math.
Virtual Laboratories in Probability and Statistics
( site was developed by Kyle Siegrist at the University of Alabama at Huntsville.
Ethnomathematics Digital Library
( The Ethnomathematics Digital Library is a project of Pacific Resources for Education and Learning. The Library has links to relevant websites worldwide.
Duke Connected Curriculum Project
( This site has online materials for lab activities for undergraduate mathematics courses from precalculus through linear algebra, differential equations, and engineering mathematics. Lang Moore and David Smith edit the site.
webODE Project
This project is just getting underway under the direction of Paul Blanchard at Boston University.
Eduworks
( The MAA and MathDL are cooperating with Geoff Collier and Robby Robson of Eduworks on their NSDL project to improve interoperability and reusability.
WeBWork
( WeBWork, founded by Arnie Pizer and Mike Gage of Rochester University, is one of the most useful online homework systems for mathematics. MathDL will provide some services for WeBWork.
NSDL Middle School Portal
( The NSDL Middle School Portal, a project created by the Eisenhower National Clearinghouse, is an online resource for middle school science and math teachers.
College Board
( At their AP Central site the College Board has a wealth of resources directed toward AP high school teachers. The Math Gateway would link to their resources for calculus and statistics. | 677.169 | 1 |
02110Requirements
Prerequisites
Successful completion of two years of algebra and one year of geometry.
Materials to be ordered via the DLD
Description
Precalculus is a course that combines reviews of algebra, geometry, and functions into a preparatory course for calculus. The course focuses on the mastery of critical skills and exposure to new skills necessary for success in subsequent math courses. The first semester includes linear, quadratic, exponential, logarithmic, radical, polynomial, and rational functions; systems of equations; and conic sections. The second semester covers trigonometric ratios and functions; inverse trigonometric functions; applications of trigonometry, including vectors and laws of cosine and sine; polar functions and notation; and arithmetic of complex numbers.
Within each Precalculus lesson, students are supplied with a post-study "Checkup" activity, providing them the opportunity to hone their computational skills by working through a low-stakes problem set before moving on to a formal assessment. Unit-level Precalculus assessments include a computer-scored test and a scaffolded, teacher-scored test.
The content is based on the National Council of Teachers of Mathematics (NCTM) standards and is aligned to state standards. | 677.169 | 1 |
Find a King Of Prussia MathAlgebra covers the basics of equation building and terminology. This is generally required as a prerequisite for other math courses and makes up a large percentage of standardized tests like the SAT or GMAT. Algebra 2 builds upon the basic algebra terminology and properties. | 677.169 | 1 |
Q&A for Matriculation Physics Semester 2 Updated is a comprehensive question and answer book for students studying Physics in local Matriculation colleges. Written by experienced authors and based on...
Q&A for Matriculation Mathematics Semester 2 Updated is a comprehensive question and answer book for students studying Mathematics in local Matriculation colleges. Written by experienced authors and based... | 677.169 | 1 |
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Software Engineering: A Practitioner's Approach, 6/eChapter 12 User Interface Designcopyright 1996, 2001, 2005R.S. Pressman & Associates, Inc. For University Use Only May be reproduced ONLY for student use at the university level when used in c | 677.169 | 1 |
Mathematics
Applied Algebra
Applied Algebra is intended as an introduction to Algebra I and includes the topics of expression and integers, solving one step equations and inequalities, decimals and equations, factors, fractions and exponents, operations with fractions, ratios, proportions and percents, solving equations and inequalities, linear functions and graphing, spatial thinking, area and volume, right triangles in algebra, date analysis an probability, nonlinear functions and polynomials.
Algebra II/Trigonometry
This course deals with operations and equations, graphing linear equations, solving systems of linear equations (graphically and elimination of variables) products, factoring, solving quadratic equations, graphic conic sections, and rational number calculations. The trig portion of this course deals with an introduction to the six trig functions solving triangles, radian measure, graphing the trig functions, and solving fundamental identities using the six trigonometric functions.
Geometry
A course offered to students in grades 11 and 12, geometry deals with problems involving two dimensional aspects of a line, angles, rectangles, triangles, and circles. Through these problems the deductive method is also studied.
Calculus
Calculus is an advanced level math course open to juniors and seniors with extensive math background. This course deals with functions, limits, differentiation, integration, maximum and minimum values of a function, methods of differentiation, trigonometric, logarithmic and exponential functions as well as applications of calculus. | 677.169 | 1 |
diving into Algebra, it is a good idea to know how to recognize and work with polynomials. Learn the vocabulary associated with polynomials and how to write and simplify expressions. Includes: practice test, examples, and teacher's guide.
Notes:
Age group: 7th grade - adult.
Downloadable video file.
Title from title screen (viewed on July 15, 2010 | 677.169 | 1 |
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Math 2312: Precalculus
As suggested by the catalog description (below), this course focuses on algebra and trigonometry concepts underpinning calculus. Topics include data analysis, functions, graphs, limits, trigonometry, exponential & logarithmic functions, other functions, and math modeling. For detailed information and policies, please the Read the Full Syllabus.
A more rapid treatment of the material in MATH 1314 and MATH 1316, this course is designed for students who wish a review of the above material, or who are very well prepared. Functions, graphs, trigonometry, and analytic geometry.
Class Posts
Instructions for the Final Exam The final exam counts for 25% of your course grade. The exam has 12 exercises (100 points) and must be completed during 8-10:30 on 12/13/11. You may use a calculator with factory-shipped programs, 1 side of a 8.5 by 11 inch page written in your own handwriting, a provided reference sheet,…
The main topic of the second test in precalculus was trigonometry. See the Exam 2 Study Guide for detailed information. Download the Test Math 2312 - Exam 2 - Trigonometry Extra Credit Opportunity You can earn a transformed grade of $(\mbox{original grade})^{0.7}(100)^{0.3}$ by printing a blank copy of the Exam and turning in a full set of…
This is one of two exams while combine to count for 30% of your grade. The exam has 8 exercises for 100 points and must be completed during class on 11/10/11. The exam has two parts – You may only use a writing utensil on Part 1. For Part 2, you will be provided a reference…
This in-class activity is designed to introduce trig identities by defining the complex exponential function according to Euler's Formula. Results in a fairly straight forward proof of the angle sum formulas for sine and cosine. Trigonometry and the Complex Plane (PDF) Trigonometry and the Complex Plane (DOCX)
Available in Two Formats Reference Guide for Basic Trigonometry (DOCX) Reference Guide for Basic Trigonometry (PDF) Used in-class and potentially useful to anyone who may need a refresher on any of the following: Calculating sine, cosine, tangent, cosecant, secant, cotangent for an angle in a right triangle. Calculating sine, cosine, tangent, cosecant, secant, or cotangent…
This activity is walks you through the steps to perform sine regression for a randomly generated data set using the TI-84. Step 1: Get a TI-84 Graphing Calculator (or similar). Don't have one? If you use Windows, you can download the attached Emulator (ZIP file), extract the Zip folder, and run the Wabbitemu.exe file. Load the…
The following little form produces randomized wave data using javascript. The purpose is to provide example data for someone learning to fit sine and cosine curves to oscillating data. Stop Sitting Around and Go Get You Some Data Press the "Get Data" button to generate some random oscillating data. Then copy and paste into a…
The first precalculus exam was based on functions and graphs. Download the Test and Answer Key Blank Copy of Exam 1 - Functions and Graphs Answer Key - Math 2312 - Exam 1 - Functions and Graphs What's on the Test? The main concepts on the test include reasoning about the following. Challenging topics are…
Exam 1 is scheduled for class time on Tuesday, October 4th. The exam cannot be made up if missed. Review time is set aside for class on Thursday 9/29, and you're encouraged to work on the problems with your mentor. Download the Exam 1 Study Guide | 677.169 | 1 |
High School Math
High school math is the mid level of the math curriculum. Students prepare themselves for colleges at high school.
This the time which asks parents and educator to be very careful about the teenager students.
The main topics in the high school math include Mastering the order of operations involving fractions, exposnets and paranthesis. Kids should be able to do operation with fractions such as how to multiply fractions.
Understaing and apply the basic algebraic concepts such as algebraic expressions, polynomials, equations such as linear equations and quadratic equations.
Introduction to tringonomentry and application of tringonometric ratios in othe areas of math.
Coordinate geometry including lines, circels and conics. Application of lines such as slopes in daily life situations or in physics. Finding area of a circle from its radius or finding area and volume of solids.
Mensuration such as finding the surface area and volume of simple three dimensional shapes and composite figures. | 677.169 | 1 |
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more.
Course Hero has millions of course specific materials providing students with the best way to expand
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9/1/2008Chapter ObjectivesPart 1 Chapter 2MATLAB Fundamentals Learning how real and complex numbers are assigned to variables. Learning how vectors and matrices are assigned values using simple assignment, the color operator, and the linspace and logs
Chapter ObjectivesLinear Regression Familiarizing yourself with some basic descriptivestatistics and the normal distribution. Knowing how to compute the slope and intercept ofa best fit straight line with linear regression. Knowing how to compute an
Silvana Ilie - MTH510 Lecture Notes1LU FactorizationPROBLEM: Find the solution of the following system of linear equations:Ax = bwhere A is an n n matrix, x and b are n 1 (column vectors).NOTE: Gaussian elimination used in Chapter 9 to nd solutions
Chapter ObjectivesGeneral LinearLeast-Squares andNonlinear Regression Knowing how to implement polynomial regression. Understanding how the general linear least-squaresmodel can be solved with MATLAB using either thenormal equations or left divisio
MTH 501/510Assignment # 1Fall 2011DUE (at the beginning of your Lab): the week of October 31. Recall that a oating-point number can be expressed as(1)s (1 + f ) 2ewhere s, f and e are binary numbers. Recall that s is the sign indicator, f the mantis
MTH 501/510Assignment # 2Fall 2011DUE (at the beginning of your Lab): the week of October 171. Determine the root of2f (x) = 2ex 1(a) using Newtons method (by hand) with x0 = 1 until you have at least 3 signicantgures. As part of your answer, incl
MTH 501/510Assignment # 4Fall 2011DUE the week of November 28 (at the beginning of your Lab)1. Consider the following data points:xf (x)-1202104426170(a) Use a Table for Divided-Dierences (by hand) to construct the Newton interpolatingpo
IND 300Introduction to ManagementWinter 2012Ch M3IND 300 INTRODUCTION TO MANAGEMENT1History of Canadian Union Movement This section will address: Distinct Canadian characteristics. Early Canadian unionism.The union movement in Canada has a rich
IND 300Introduction to ManagementWinter 2012Ch M4IND 300 INTRODUCTION TO MANAGEMENT1The Structure of Canadian Unions This section will address: Introduction. The local union. Regional, national, and international unions. Labour councils. Provi
IND 300Introduction to ManagementWinter 2012Ch M2IND 300 INTRODUCTION TO MANAGEMENT1Theories of Industrial Relations This section will address: The origin of unions. Theories of union origins. Functions of unions. The future of unions.Source:
IND 300Introduction to ManagementWinter 2012Ch M7IND 300 INTRODUCTION TO MANAGEMENT1Defining and Commencing Collective Bargaining This section will address: The effects of certification. The framework for collective bargaining. Preparing for col
District veterinarians workingenvironment in and around the carLinda RoseKTH, School of Technology and HealthOutline Make a description of the project and its results Give an overview of some methods Have workshop where you students suggestsolutio
IND 712: TERM PROJECT: Investigating Human Factors in the WorkplaceWinter 2011Groups of 3-4 Assignment by Prof.Learning Objectives:- Learn to plan and conduct and HF evaluation of a work system- Developing group work & project management skills- Gai
How is Site recruitment going?IND 712 Business Case for HF Arguments FOR allowing a studentgroup to do an HF improvement project? Arguments Against?Copyright (c) 2012 P. Neumann, BSc, MSc, LicEng, PhD, LEL, Eur.Erg This teaching material is not for
Navigational Objective+PhantomProfitSynergyHuman Factors+WastePerformanceUnmeasuredGains?OKIt helps to think of this before you rebuild your barn doorsSo how do you get the water out at the end of the shift?
Excerpt from Forthcoming Paper: Rose, L., Orrenius, U.E. and Neumann, W.P., Working Paper. Work environment and the bottom line Survey of tools relating work environment to business results. in Human Factors and Ergonomics in Manufacturing & Service Indus | 677.169 | 1 |
Pre-Calculus 40S
Ready for a little math review?
Here's how it works:
No one is allowed to sit alone! Make sure you have at least one other person at the computer next to you.
You'll need some paper, a pencil, and an eraser. Try to avoid using your calculator as much as possible. Actually, you should try discussing the problem with your neighbour(s) before you pick up your calculator.
There are at least 10 multiple choice questions you must answer in each section. Read the question and click on what you belive to be the best answer.
If you get it wrong you'll also be given a hint as to what you did wrong. Think about what the computer tells you. You should recheck your calculations before making another choice.
You can ask for the teacher's help only if you ask the people sitting next to you for help first. | 677.169 | 1 |
MATH 1323 - Quantitative Reasoning
This course is designed for curricula where quantitative reasoning is required. The course content includes critical thinking skills, arithmetic and algebra concepts, statistical concepts, financial concepts, as well as numerical systems and applications. A graphing calculator is required. | 677.169 | 1 |
MATLAB for Engineers, 3e, is ideal for Freshman or Introductory courses in Engineering and Computer Science. With a hands-on approach and focus on problem solving, this introduction to the powerful MATLAB computing language is designed for students with only a basic college algebra background. Numerous examples are drawn from a range of engineering disciplines, demonstrating MATLAB's applications to a broad variety of problems. This book is included in Prentice Hall's ESource series. ESource allows professors to select the content appropriate for their freshman/first-year engineering course. Professors can adopt the published manuals as is or use ESource's website to view and select the chapters they need, in the sequence they want. The option to add their own material or copyrighted material from other publishers also exists.
You can earn a 5% commission by selling MATLAB for Engineers | 677.169 | 1 |
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Mathematics for Economics and Business
Rebecca Taylor Simon Hawkins
ISBN: 0077107861 Copyright year: 2008
Welcome to the Online Learning Centre for Mathematics for Economics and Business, 1st European edition
Mathematics for Economics and Business by Rebecca Taylor and Simon Hawkins is an introductory level text aimed at undergraduates requiring an understanding of mathematics. For many students embarking on an economics or business course, the level of mathematics required to
understand key topics can at first seem daunting. This student friendly text takes a step-by-step approach to explaining mathematical principles and applying these to an economic and business context. The range of study tools employed throughout the text caters for different learning styles and levels of understanding, encouraging students to take an active role in their learning of the subject. This edition features:
Coverage of core mathematical principles found in economics and business courses, assuming little prior knowledge of the subject
Student notes provided in boxes within each chapter as a useful quick reference
tool, summarising key terms and providing tips to help understanding
Worked examples, to consolidate learning and demonstrate the mathematical
principles as applied in an economic and business context
Quick Problem boxes to test understanding and application of the mathematical
principles taught in each chapter. Answers are provided at the end of the chapter so that students can check progress
The book is accompanied by a range of supplementary resources designed to provide students with the support they need to gain an understanding of mathematical principles.
On this OLC you can find a host of information about the book, as well as a range of downloadable supplements for students and lecturers.
THE STUDENT CENTRE
The Student Centre contains material to accompany the study of Mathematics for Economics and Business. This material includes:
Additional exercises for students
Web links
Excel-based exercises
Self test questions
Click on the menu to the left of this page to view these resources.
Chapter-by-chapter resources may be viewed by clicking on the drop-down list.
THE LECTURER CENTRE
The Lecturer Centre for this title contains a host of downloadable material
for lecturers who adopt Mathematics for Economics and Business. The material found in the Lecturer Centre includes:
Seminar exercises
Teaching suggestions
Solutions to additional exercises in the student centre
PowerPoints
Solutions to questions in the book
Mock exam with answers
Accessing the lecturer centreRequest lecturer copy If you are considering using Mathematics for Economics and Business for course adoption, you can request a complementary
Click on the link at the base of this page to return to the Information Centre. | 677.169 | 1 |
Key Curriculum Releases IMP Year 4, 2nd Edition
IMP is four-year core mathematics curriculum and is aligned with Common Core State Standards. Adoption of the IMP curriculum includes implementation strategies, supplemental materials, blackline masters, calculator guides, and assessment tools.
Year 4 covers topics such as statistical sampling, computer graphics and animation, an introduction to accumulation and integrals, and an introduction to sophisticated algebra, including transformations and composition.
The second edition of Year 4 includes a new student textbook, 2 new unit books, and three updated unit books | 677.169 | 1 |
More than 250,000 professionals worldwide are using Mathcad to perform, document, manage and share calculation and design work. The unique Mathcad visual format and easy-to-use whiteboard interface integrate live, standard mathematical notation, text and graphs into a single worksheet–making Mathcad ideal for knowledge capture, calculation reuse, and engineering collaboration.
Mathcad lets you type equations just as you would write them on a blackboard or in a reference book. There is no difficult syntax to learn; you simply type in your equations and then see the results. You can use Mathcad equations to solve just about any math problem you can think of, symbolically or numerically. You can place text anywhere on the worksheet to document your work.
Mathcad Features
Mathcad uses Maths format and displays so information is clearly understandable in a mathematical format.
Live math and symbolic capabilities including matrices, expressions and functions.
High end numerics including summations, products, derivatives, integrals, Boolean, trigonometric, exponential and hyperbolic functions all built in as well as statistical, data analysis.
Mathcad has built in operators including arithmetic, vector, Boolean, arithmetic and user defined. | 677.169 | 1 |
The Midland Mathematical Experiment, in which a number of schools collaborated with the aim of developing a new approach to teaching mathematics in the Grammar School, developed a series of books to cover their 'A'-level syllabus. Sets, Mappings, Relations and Operations is split into sections, each section containingThe Midland Mathematical Experiment, in which a number of schools collaborated with the aim of developing a new approach to teaching mathematics in the Grammar School, developed a series of books to cover their 'A'-level syllabus. Groups, Rings and Fields is split into sections, each section containing explanations, examples parts to this book:
• resource, published by G Bell and Sons, was intended to complete the two-year course for those studying Pure Mathematics and also to extend the course to give adequate preparation for the 'S' papers of the GCE and similar examinations.
CHAPTER V - SYSTEMS OF CIRCLES
Power of a point with respect to a circle;… | 677.169 | 1 |
The Calculus Lifesaver: All the Tools You Need to Excel at Calculus Adrian Banner
"Banner's book is a chatty, user-friendly guide to calculus that will be a useful addition to the resources available to students. Banner does an exceptionally thorough job while maintaining an engaging style."--Gerald B. Folland, author of Advanced Calculus
"This is an engaging read. Each page engenders at least one smile, often a chuckle, occasionally a belly laugh."--Charles R. MacCluer, author of Honors Calculus
"This book is significant. The author's attempt to give an 'inner monologue' into the thought process that is needed to solve calculus problems rather than just providing worked examples is novel and is in line with his purpose of helping the reader get a deeper understanding of calculus. The book is well written and the author's examples are clear and complete."--Thomas Seidenberg, Phillips Exeter Academy | 677.169 | 1 |
A collection of problems, some with a very practical application, others designed as purely theoretical puzzles, that will offer something of interest to all. Understand algebra, and all other branches of mathematics and arithmetic will suddenly open up in front of you.
Offers assistance in understanding algebra, which is vital to all higher level maths and therefore to a wide range of careers. Written by an experienced Maths teacher, who is also a parent of school age children, the book takes parents and students back to basics.
This text presents the complete proceedings of the Special Year and International Conference on Geometric Group Theory in Canberra, Australia, 1996. Topics covered include: geometric automorphism groups; geometric invariants of a group; and Artin groups and braid groups. | 677.169 | 1 |
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 | 677.169 | 1 |
Algebra 2 covers factoring, rational exponents, quadratic equations, functions, imaginary and complex numbers, and exponential and logarithmic functions and equations. We would always endeavor to tie into the world around us, the subject matter in Algebra 2. The student and I would work through... | 677.169 | 1 |
GeoGebra Workshop 2012
Thank you for your participation
The GeoGebra Workshop is a FREE professional development workshop for teachers working at elementary, secondary or terciary level. The workshop was held Wednesday May 23, 2012Keynote Speaker
Michael Todd Edwards Ph.D. is an associate professor at Miami University in Oxford, Ohio. He also serves as co-director of the GeoGebra Institute of Ohio. Dr. Edwards' scholarly interests center around the teaching and learning of mathematics with technology, specifically graphing calculators, computer algebra systems, and dynamic geometry software. He is dedicated to providing students with authentic mathematics-oriented experiences in the classroom using technology as a vehicle for fostering such experiences.
Speakers
Todd Edwards, Miami University, Oxford, Ohio Getting Started with GeoGebra - In addition to the keynote address, Dr. Edwards will present a session that provides a friendly introduction to GeoGebra for novices. No prerequisite skills are required.
Ryan Hedstrom, University of New England Department of Mathematical Sciences, Biddeford, Maine Using Probability Distributions in GeoGebra - In this presentation, we will explore how GeoGebra can be used to find probabilities from known probability distributions.
Doug Kuhlmann, Phillips Academy, Andover Massachusetts. GeoGebra in AP calculus - Several demos of GeoGebra applets that are used in teaching AP calculus (BC/AB). These applets are useful for both differential and integral calculus. Applets can be downloaded from Here are the materials associated with this presentation: Conference materials
James Quinlan, University of New England, Biddeford, Maine. This session will contain various GeoGebra skills centered around creating lessons/developing GeoGebra applets. In particular, we will look at making variable text, basic interface design, and conditional showing/hiding objects.
Mike May, Saint Louis University Mathematics Dept., St.Louis, Missouri
Using GeoGebra to create random drill problems - We will look at how to use the capabilities of GeoGebra to drill students with problems containing random values. (Advanced Session). Audience: Classroom Teachers.
James Factor, Alverno College, Mathematics Dept., Milwaukee, Wisconsin
The Geometric Construction and Animation of Bezier Curves - Students often have difficulty relating geometry constructs to algebra. This presentation will illustrate how to start with a geometric construction and derive the algebraic description of a curve. The GeoGebra software will be used in the construction of a geometric framework and the illustration of an animation that will show how the framework generates the curve. This process can be done for a polynomial curve of any degree. Dr. Factor's Conference materials
Pam Buffington with Peter Tierney-Fife, Gardiner, Maine
Taking Advantage of GeoGebra 4 - This session highlights new features in GeoGebra 4 and includes example classroom-ready created resources. Topics will include GeoGebra Script, graphing inequalities, the Function Inspector, and creating custom buttons with polygons and text. Created resource examples will focus on the topics of number sense, algebra, and geometry.
Pam Buffington with Peter Tierney-Fife, Gardiner, Maine
OER in Math Professional Development Project Resources - During the 2010-2011 school year Maine schools in RSU#11 and RSU#54 partnered with Education Development Center (EDC) to create grades 7-12 classroom-ready resources as part of the OER in Math Professional Development project. The session will focus on exploring project resources including formative assessments, GeoGebra applets, lesson plans, student activity handouts, and screencasts. All resources are free and available online, with most in formats that can be easily adapted by educators. Results of the project evaluation will be discussed briefly.
Map & Directions
Location
The Harold Alfond Center for Health Sciences, which opened in 1996, provides a significant focus for the University. Located at the center of campus, this three-story building houses numerous laboratories and lecture halls. It is a join-use building between the College of Osteopathic Medicine and the College of Arts and Sciences.
The Community
Biddeford is a small city with a population of about 23,000 and Saco with a population of about 17,000 sits across the river. Although originally settled a few hundred years ago, the cities really developed as major textile center in the 1800s; most of the original textile mills have since been converted to residential, professional, commercial and light industrial use. The section of town where the University is located is about four miles from the two downtowns were the Saco River meets the ocean in an area known as Hills Beach. This seaside area is commercially undeveloped and is primarily a summer cottage and residential area. Neighboring towns include Old Orchard Beach, Arundel, Kennebunk, Kennebunkport, and Wells.
Portland, the largest city in Maine, is a 25-minute drive north from Biddeford. This growing metro area is justifiably proud of its fine symphony orchestra, active theater groups, concert halls and other live music venues, museums and many other arts organizations. There is an abundance of one-of-a-kind restaurants - more per capita than almost any city in the country - and countless shops in the downtown area. Portland is home to two minor-league sports teams: the Portland Seadogs are affiliated with the Boston Red Sox and the Portland Pirates play hockey at the Cumberland County Civic Center.
For individual athletic pursuits, there are opportunities in southern Maine for canoe and kayaking, mountain and road biking, hiking and camping, Nordic and alpine skiing, snowshoeing, bird watching, and fishing and hunting. Somtimes just spending time on the beaches is enough to please visitors and residents alike. The campus is only an hour's drive from the mountains and minutes from numerous rivers.
Located off exit 32 of the Maine Turnpike (Route I-95), Biddeford is within easy reach of most major eastern cities. Portsmouth, New Hampshire, a 40-minute drive from campus, affords the curious an opportunity for exposure to a seaport steeped in North American history. In addition, the historical and cultural riches of Boston are a 90-minute drive from the campus. | 677.169 | 1 |
In terms of math lessons, algebra equations are often tricky, just to lose one step in the process due to a simple error will throw off the entire answer. Unlike some forms of mathematics, because there are so many steps in the process the student often finds it difficult to get the correct answers. Of course if students have not learned the steps from the beginning they will never success with their math lessons, algebra equations. Algebra is simply not a subject that can be learned if students do not start from the beginning and make sure they master each step along the way.
Many college teachers are just amazed and quite bewildered to find that their undergrad students have not learned the basics sufficiently to understand the more complex theorems. Many students fail their math lessons, algebra and other mathematical concepts in high school and manage to enter college and university without them, often because they are a mature student. Colleges and universities have had to incorporate high school preparatory classes; just to prepare these students sufficiently for the more advanced math lessons - algebra and then statistics and other forms of forms of higher math necessary for their college programs.
Therefore it is the onus of the math teachers to make sure that math lessons, algebra equations are mastered at these fundamental course levels in order for their students to proceed to the higher levels required of them. Many of these students do not understand the concepts of vectors and vector spaces and so earlier math lessons are required before Euclidean spaces and matrices can be taught. Understanding the underlying concepts from which the theorems are built upon is key to success with the algebraic equations and formulas.
Early on in the math lessons, especially at the college level, algebra concepts would have to include lessons on polynomials in order for students to grasp the properties of linear algebra. From this point the students can begin to understand that on complex vector spaces eigenvalues are certain to exist. At this point, the student can grasp the concept of the upper triangle matrix and how a linear operator on a real vector space has an invariant subspace.
Students are mastering their college level courses by this point and are studying orthonormal bases, the Gram-Schmidt procedure and adjoints. Other theorems useful in college math are the spectral theorem, and more. However, none of these college students will be even understood with other the proper high school courses and prerequisites. | 677.169 | 1 |
Concept of a set, operations on sets, Venn diagrams.De Morgan laws.Cartesian product, relation, equivalence relation. Representation of real numbers on a line.Complex numbers - basic properties, modulus, argument, cube roots of unity.Binary system of numbers.Conversion of a number in decimal system to binary system and vice-versa.Arithmetic, Geometric and Harmonic progressions.Quadratic equations with real coefficients.Solution of linear inequations of two variables by graphs.Permutation and Combination.Binomial theorem and its application.Logarithms and their applications.
2.Matrices and Determinants:
Types of matrices, operations on matrices Determinant of a matrix, basicproperties of determinant.Adjoint and inverse of a square matrix, Applications - Solution of a system of linear equations in two or three unknowns by Cramer's rule and by Matrix Method.
3.Trigonometry:
Angles and their measures in degrees and in radians.Trigonometrical ratios.Trigonometric identitiesSum and difference formulae.Multiple and Sub-multiple angles.Inverse trigonometric functions.Applications - Height and distance, properties of triangles.
4.Analytical Geometry of two and three dimensions:
Rectangular Cartesian Coordinate system.Distance formula.Equation of a line in various forms.Angle between two lines.Distance of a point from a line.Equation of a circle in standard and in general form.Standard forms of parabola, ellipse and hyperbola.Eccentricity and axis of a conic.
Point in a three dimensional space, distance between two points.Direction Cosines and direction ratios.Equation of a plane and a line in various forms.Angle between two lines and angle between two planes.Equation of a sphere.
5.Differential Calculus:
Concept of a real valued function - domain, range and graph of a function.Composite functions, one to one, onto and inverse functions.Notion of limit, Standard limits - examples.Continuity of functions - examples, algebraic operations on continuous functions.Derivative of a function at a point, geometrical and physical interpreatation of a derivative - applications.Derivatives of sum, product and quotient of functions, derivative of a function with respect of another function, derivative of a composite function.Second order derivatives.Increasing and decreasing functions.Application of derivatives in problems of maxima and minima.
6.Integral Calculus and Differential equations:
Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions.Evaluation of definite integrals - determination of areas of plane regions bounded by curves - applications. Definition of order and degree of a differential equation, formation of a differential equation by examples.General and particular solution of a differential equation, solution of first order and first degree differential equations of various types - examples.Application in problems of growth and decay.
7. Vector Algebra :_
Vectors in two and three dimensions, magnitude and direction of a vector.Unit and null vectors, addition of vectors, scalar multiplication of vector, scalar product or dot product of two-vectors.Vector product and cross product of two vectors.Applications-work done by a force and moment of a force, and in geometrical problems.
Part 'A' - ENGLISH (Maximum Marks 200). The | 677.169 | 1 |
This revised introduction to the basic methods, theory and applications of elementary differential equations employs a two part organization. Part I includes all the basic material found in a one semester introductory course in ordinary differential equations. Part II introduces students to certain specialized and more advanced methods, as well as providing a systematic introduction to fundamental theory. | 677.169 | 1 |
Edgenuity Geometry is a two-semester, hands-on and lecture-based course featuring an introduction to geometry, including reasoning and proof and basic constructions. Triangle relationships (similarity and congruency) and...
Edgenuity English-Language Arts Grade 9 is a year-long course that provides rigorous training in the foundations of English Language Arts skills and strategies. It also expands on and applies traditional concepts to...
Edgenuity Algebra is a two-semester course that provides in-depth coverage of writing, solving and graphing a variety of equations and inequalities, as well as linear systems. Functions are a central theme of the course...
Edgenuity English-Language Arts Grade 9 (common Core) provides rigorous training in the foundations of English Language Arts skills and strategies. In addition, it expands on and applies traditional concepts to modern,...
Edgenuity English-Language Arts, Grade 10 (Common Core provides rigorous training in the foundations of English Language Arts skills and strategies. In addition, it expands on and applies traditional concepts to modern,...
The goal of this course in American literature is to explore the pursuit of the American Dream through American literature. The emphasis is on instruction in critical reading, and textual analysis demonstrated through...
AP English Literature and Composition is designed to be a college/university-level course, thus the "AP" designation on a transcript. This course will provide students with the intellectual challenges and workload...
The purpose of English I is to develop effective skills in writing, reading, and analyzing that can be applied broadly to literary genre (i.e. poetry, short story, novel, and drama) and across disciplines (i.e. science,...
Algebra I A: This course covers such key concepts as variables, function patterns, and graphs. Students learn operations with rational numbers and properties of rational numbers. Students
solve linear equations and... | 677.169 | 1 |
A valuable text for introductory course work in computer science for mathematicians, scientists and engineers. This book demonstrates that Mathematica is a powerful tool in the study of algorithms, allowing the behavior of each algorithm to be studied separately. Examples from mathematics, all types of science, and engineering are included, as well as computer science topics. This book is also useful for Mathematica users at all levels. | 677.169 | 1 |
Everyday Math Demystified: A Self-teaching Guide
Includes what you need to know about mathematics, including arithmetic, ratios, and proportions, working with money, the International System of Units, perimeter and area, graphs, stock returns, square roots, rates of change, and much more.
Description of this Book
Say goodbye to dry presentations, gruelling formulas, and abstract theories that would put Einstein to sleep, now there's an easier way to master the disciplines you really need to know. Everyday Math Demystified has everything you need to know about essential mathematics, including arithmetic, ratios, and proportions, working with money, the International System of Units, perimeter and area, graphs, stock returns, square roots, rates of change, and much more.
Awards & Reviews
Author's Bio professional handbooks. 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 McGraw-Hill Encyclopedia of Personal Computing a Best Reference of 1996. | 677.169 | 1 |
books.google.com - This... to Solve Word Problems in Algebra
How to Solve Word Problems in Algebra:
This and college students take algebra annually, and almost all are stumped by word problems-- Features Solution methods that are easy to learn and remember, plus a self-test-- Stands alone or can be used with any standard Algebra I or II textbook
From inside the book
Review: How to Solve Word Problems in Algebra: A Solved Problem Approach
User Review - Ron Moreland - Goodreads
This is an excellent resource for any student in any math class. Typically there is a great deal of stress when student's are facing any type of word problem. This book gives detailed step-by-step solutions to the type of problems students will encounter in an Algebra class!Read full review | 677.169 | 1 |
Mathematical Modeling and Simulation
This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail.
Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation?
The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).
Customer Reviews:
Nice book, but very expensive
By cincosauces - July 7, 2010
This is a good an interesting book. I particularly like the author's focus on the basic concepts and philosophy of modelling as well as the use of open source software as Maxima. The book is clearly intended for beginners, like students at early university courses. I have only two negative comments on this book. One is that there is no chapter or section on dimensional analysis and scaling. The second, and more important is the high price, which is a hinder to the supposed intended audience.
A one-of-a-kind introduction to the theory and application of modeling and simulation techniques in the realm of international studies. Modeling and Simulation for Analyzing Global Events provides an ...
This book provides an introduction to the theory and applications of modeling and simulation with a multidisciplinary perspective, and the authors offer a concise look at the key concepts that make ...
This book constitutes the refereed post-proceedings of the third Asian Simulation Conference, AsiaSim 2004, held in Jeju Island, Korea in October 2004. The 78 revised full papers presented together ... | 677.169 | 1 |
Hi, my high school classes have just begun and I am shocked at the amount of algebra age problem homework we get. My basics are still not clear and a big assignment is due within few days. I am really worried and can't think of anything. Can someone guide me?
Can you please be more descriptive as to what sort of assistance you are expecting to get. Do you want to learn the fundamentals and solve your assignments on your own or do you want a software that would provide you a line by line answer for your math problems?
Welcome aboard dear. This subject is very interesting, but you need to know your basics and techniques first. Algebrator has guided me a lot in my course. Do give it a try and it will work for you too.
Algebrator is the program that I have used through several math classes - Algebra 2, Algebra 2 and Pre Algebra. It is a truly a great piece of math software. I remember of going through problems with quadratic formula, trigonometry and evaluating formulas. I would simply type in a problem from the workbook, click on Solve – and step by step solution to my math homework. I highly recommend the program. | 677.169 | 1 |
Mathematics and Politics
Registration Fee: $325 by May 5, $450 after
The field of Mathematics and Politics seeks to answer questions
arising in political science from a mathematical perspective. For
example:
Who should have won the 2000 presidential election, and—more
generally—what are the best voting procedures to use when there are
three or more candidates?
What fraction of power does the president have in the US Federal
System, and—more generally— how does one measure political influence in
legislative systems?
How can marital assets be divided fairly, and how is this related
to the resolution of international disputes?
Many questions like these can be answered with little or no
background in either mathematics or political science. The
accessibility of the material, therefore, makes it a perfect backdrop
to introduce mathematical reasoning to undergraduates in the humanities
and social sciences, giving them the opportunity to investigate active
areas of mathematics research and refine their critical thinking skills
in a setting that is largely noncomputational.
This workshop will introduce several areas of mathematics and
politics, including escalation, conflict, voting systems (including
Arrow's Impossibility Theorem and the Gibbard-Satterthwaite
Manipulability Theorem), power, fair division of divisible and
indivisible goods, and apportionment. Participants will develop the
tools needed to introduce such topics to their students, by either
enriching courses with new material or by developing a new course
devoted entirely to the subject in as early as the fall of 2008. There
is also an abundance of material here that mathematics majors will find
interesting and challenging as well. Participants will be provided with
some reading materials and related questions to think about before the
workshop. | 677.169 | 1 |
Successful application of mathematical principles to solve a range of challenging problems. Clear integration of knowledge, understanding and skills from different areas. Comprehensive responses containing all necessary detail.
B
Broad knowledge and understanding, although some responses lacked detail or contained minor errors.
Broad knowledge and understanding, although some responses lacked detail or contained minor errors.
Successful application of mathematical principles to solve a variety of problems. Some integration of knowledge, understanding and skills from different areas. Some responses lacked necessary detail or contained minor errors. | 677.169 | 1 |
Algebra Having trouble doing your Math homework? This program can help you master basic skills like reducing, factorising, simplifying and solving equations. Step by step explanations teach you how to solve problems concerning fractions,binomials, trinomials etc. ... Algebra has three different functionalities: you start learning each type of problem by seeing the program solve it step by step. ... Algebra will compare your answer to its own. ... Each type of problem has three levels to help you to start with easy problems and slowly building up your skills. - 895Kb
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Algebra - One On One Al ... You can choose from a ten problem, a time trial, or a two-player game. ... It has a great help system that makes it easy for the beginner to do and understand algebra. ... It also has a "Einstein" level that even algebra experts will find fun and challenging. - 843Kb
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Math Function Mania Math Function Mania is a fun multimedia game that teaches functions, algebra and problem solving skills. Functions are very important in math! By mastering them, you will greatly increase your math skills. This game teaches you by the "hands on" method - you will discover how functions work by... Topics covered include equations, algebra, problem solving, critical thinking, polynomials, factoring, remainders, number bases, and prime numbers. ... In the Combat! ... game, you play head to head against another player. - 877Kb
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EMMentor_Light Interactive multilingual mathematics software for training problem-solving skills offers more than 500 of math problems, a variety of appropriate techniques to solve problems and a unique system of performance analysis with methodical feedback. The software allows students at all skill levels to... Covered subject areas are arithmetic, pre-algebra, algebra, trigonometry and hyperbolic trigonometry. ... Included are basic and advanced math topics, such as solutions of linear, quadratic, biquadratic, reciprocal, cubic and fractional algebraic identities, equations and inequalities, solutions... - 3Mb
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EMSolution Algebra This bilingual program offers 70690 of fully explained step by step solutions of algebra problems together with test authoring tools. Problems of 11 levels of complexity vary from basic to advanced: linear, quadratic, biquadratic, reciprocal, cubic, high degree and complex fractional expressions... Special options help teachers create quizzes, tests, variant tests, exams and homeworks of varied complexity and develop problem solving lesson plans. ... A number of variant tests are ready for students to review and reinforce their skills. - 5Mb
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EMSolutionLight Free problem-solving mathematics software allows you to work through more than 500 math problems with guided solutions, and encourages to learn through in-depth understanding of each solution step and repetition rather than through rote memorization. ... Covered subject areas are arithmetic, pre-algebra, algebra, trigonometry and hyperbolic trigonometry. ... The software supports a number of interface styles. ... This includes basic math and advanced topics, such as solutions of linear, quadratic, biquadratic, reciprocal, cubic and fractional algebraic identities, equations and... - 3Mb
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EMBook Free ... You can try to solve a number of tasks on your own, with the help of interactive training technique. ... In each test, problems vary in topics and difficulty. - 1Mb
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MathAid College Algebra Interactive,... The demo version contains selected lessons from the full version, fully functional, all features included. ... Topics covered: rectangular coordinate system, functions and graphs, linear and absolute value functions, quadratic functions, polynomial and rational functions, exponential and logarithmic... - 658Kb
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EMMentor Algebra short Interactive multilingual mathematics software for training problem-solving skills offers 70439 algebraic problems, a variety of appropriate techniques to solve problems and a unique system of performance analysis with methodical feedback. Included are linear, quadratic, biquadratic, reciprocal,... Dozens of tests are ready for learners to review and reinforce their math skills. ... The software supports bilingual interface and a number of interface styles. ... Test preparation options facilitate development of printable math tests and automate preparation of 12 test variants around each... - 5Mb
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The LIFEPAC Math (Algebra I) complete set contains all 10 student workbooks for a full year of study plus the comprehensive Teacher's Guide.
Topics covered include:
Variables and Numbers
Solving Equations
Problem Analysis and Solution
Polynomials
Algebraic Factors
Algebraic Fractions
Radical Expressions
Graphing
Systems
Quadratic Equations and Review Lifepac Math, Grade 9 (Algebra I), Complete Set
Review 1 for Lifepac Math, Grade 9 (Algebra I), Complete Set
Overall Rating:
5out of5
Lifepac 9 Math
Date:June 11, 2012
AnnaExcellent as a primary math book, and the teacher's guide has all the ideas you would need for anything "extra", based on the student's needs. Combining the Grade 9 with the Grade 10 Lifepac Math is also an excellent idea, depending on your classes motivation and progress.
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0points
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Review 2 for Lifepac Math, Grade 9 (Algebra I), Complete Set
Overall Rating:
5out of5
Date:June 17, 2010
Karen Breland
This is my first time to use the Lifepac curriculum and I must say I am very pleased with it. The lessons are very easy to understand. I have ordered this for a refresher for my daughter over the summer. I will most likely be using this curriculum for all of her subjects in the fall.
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+1point
1of1voted this as helpful.
Review 3 for Lifepac Math, Grade 9 (Algebra I), Complete Set
Overall Rating:
4out of5
Date:November 17, 2008
James Clark
It is a great curriculum but it would be better served by having more self testing areas more often.
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+1point
1of1voted this as helpful.
Review 4 for Lifepac Math, Grade 9 (Algebra I), Complete Set
Overall Rating:
5out of5
Date:September 27, 2007
Laura Savin
Very detail material. Make sure your student comprehends the pre-algebra first before doing this. In the beginning it's easy, as you go further it gets harder but has good examples to go by and explanations.
Share this review:
+1point
1of1voted this as helpful.
Review 5 for Lifepac Math, Grade 9 (Algebra I), Complete Set
Overall Rating:
4out of5
Date:September 14, 2007
Mimi Robinson
After having tried ABeka and Saxon I felt this gave more opportunity for comprehension than the others. It also is set up to work at a at your own pace style. Love It! | 677.169 | 1 |
This course develops the basic math skills required for all of our mathematics courses. Topics include operations with whole numbers, fractions, and decimals, ratio, proportion and percents, order of operations and solving equations, perimeter, area, volume, and the Pythagorean Theorem. | 677.169 | 1 |
IB Mathematics
Pre-IB Mathematics: Preparation for IB Mathematics HL/SL
Jacek Latkowski, George Reuter
£14.50
ISBN: 978-1-904534-98-3
Edition: 1
Publisher: OSC Publishing
Format: Print book
Description:
Designed to ensure that students not only gain the minimum knowledge required before starting their IBDP Mathematics course but that they also develop the strong confidence and expertise in mathematics which will allow them to do well. Students will learn and refine their algebraic techniques that are so important as well as study the basic and advanced concepts of functions, trigonometry, vectors, set theory, statistics, probability, matrices, sequences/series and logarithms.
Book Sample Pages
Jacek Latkowski is a teacher with 22 years of experience including 14 years with the IB programme and 9 years with OSC. He has worked at various international schools, currently at The British School in Warsaw as the Head of Mathematics Department. He has taught IB Mathematics, Physics and TOK and has 8 years' examining experience in Mathematics HL. Jacek Latkowski was born in Poland, educated in Canada and is currently back in Poland. He holds various university degrees including a Ph.D. in theoretical physics as he continues to combine his school work with the scientific research.
George Reuter has been teaching IB Mathematics SL at Canandaigua Academy in Canandaigua, New York (USA) since 2003. He works for OSC as a Pre-IB Maths teacher during the OSC Pre-IB Summer School and is currently the Meet Coordinator for the Monroe County Math League, Vice President of the New York State Mathematics League, and the Head Coach of the Upstate NY Math Team... which means that he does a lot of crazy math... all the time... In his spare time, he enjoys playing video games, watching sports, and (of course) doing math. He lives with his wife and five children in Canandaigua. | 677.169 | 1 |
0321577817
9780321577818–See It, Hear It, Try It–makes examples easy to follow, while frequent annotations offer the support and guidance of an instructor's voice. Every page is interesting and relevant, ensuring that readers will actually use their textbook to achieve success! Prerequisites: Fundamental Concepts of Algebra; Equations and Inequalities; Functions and Graphs; Polynomial and Rational Functions; Exponential and Logarithmic Functions; Systems of Equations and Inequalities For all readers interested in college algebra. «Show less | 677.169 | 1 |
So you clicked on this thread. Clearly you have some motivation to become better at Math. Well, this is the thread for you!
[SIZE="3"]The Keys to Math Wizardry[/SIZE]
1.Start Small. No matter what your subject is, complex partial differential equations to high school algebra, you will not get anywhere by starting at the back of the book or with the hardest problems you can find. Harder problems are built on concepts and techniques that the problem creator assumes you already know. Thus, it is your job to first learn the concepts and techniques. Read the book, and do simple problems first. They will reinforce what you have learned already and help you build the confidence to tackle ever harder problems.
2.Read the book. The best way to learn the concepts, and expose yourself to the theorems, is by reading the book. I know, most of us HATE to read the book, and thus go right to the problems, but if you want to solve problems you need to understand the concepts behind them. Read slowly, and if you don't understand a word or a sentence, go find out what it means. It could be the reason you don't understand why or how the next theorem introduced works or has any relevance at all.
3.Do the homework. Do the homework again. Do the homework again and again. The only way you will learn problem solving skills is to solve problems. You will see that even if you did the problem yesterday, you might not be able to solve it that easy today. Of course, the goal is to get to the point where you can solve the problem without much difficulty.
4.Go to class. The instructor might be able to explain things much better than the book can. If you have any questions you were not able to resolve yourself, class is the time to ask. Do not be afraid that your question is stupid, because there are probably many more students in the class stuck on the same thing who do not possess the courage to actually speak up about it.
5.Reference. By nature, some textbooks and some authors just suck. They are unclear and seem to pull solutions out of some magic mathematical hat. The good news is, you do not have to stick to that text if you feel that way. Ask your instructors, or other people who have been or are in your boat, and see if they can recommend you any books that have a knack for explanation, or a comprehensive solutions guide to a variety of pertinent problems. (They might even let you borrow!) For instance, one of the best calculus books around is "The Calculus Lifesaver" by Adrian Banner, and I have yet to find a course which uses this book as its main text.
6.Study Together. Go find a friend who is taking your course or one like yours and study together. Multiple researchers have shown that learning is reinforced when you have to explain it to someone else, plainly because you really have to know what you are talking about to get it across. Also, you will benefit if you are on the student end of such peer instruction. Think about it as someone giving you pieces to your puzzle while you are giving pieces to them for their own. Sometimes all it takes is a certain someone to say just the right words which makes it all click in your head. You will undoubtedly make good friends in the process.
7.Get Help. Usually there will be someone or somewhere at your school which provides tutoring services or assistance programs. It is not shameful to ask for help. There is no reason to struggle because of something as ridiculous as your ego. Go see your teaching assistants or your instructor. If they have office hours, show up every time you are stuck. It really helps to get to know those giving you your grades...that is...as long as you are nice.
i find that in the more complicated forms of calculus and algebra, there are a limited number of possible scenarios that every problem is a member of. ive got a good teacher that would do examples of all the possible question types
^^^ Throughout the 12 (and counting) years of schooling i have done, i have never once had a teacher which i considered "good". I always had to figure everything out for myself which didn't really benefit me in the long run. I only hope to "god" that once i start university ill get some decent professors who can properly prepare me for exams.
Mathematics is always challenging for everybody. It is a great humbler. This being the case, I don't understand how being a "wizard" is even possible.
In any case...
Treat and learn mathematics as a tool. Do science, use math. Put simply - adding for the sake of adding is silly, but adding up your dollars makes adding worthwhile.
And projecteuler.net is pretty cool.
the planes wheels are simply the point of contact against the tarmac however they are frefloating and will spin to any velocity until they fail... assuming the wheels can spin to an infinate velocity the plane will pull itself forward regardless of the backwards motion of a dynamic tarmac because the prop is attached to the fuselage of the plane
there IS friction on the wheels bearings or whatever plane wheels use to negate friction to spin at a high velocity however...for assuming the tarmac is retreating at a rate of 30 meters a second and the prop is providint a rearwards thrust propelling the plane at 30 meters a second the wheels would be spinning at a rate that would propell the plane at 30 meters per second were the tarmac static. the wheels were they the point of propulsion as in a car...would be need to spin twice as fast to achieve the same velocity. however as a planes propulsion is a turbofan/prop/jet that is not its point of contact whilst a land vehicles propulsion is the same as its point of contact, should lead to a conclusion that the plane wil propell itself forward inducing the wheels to simply spin at twice the speed were the tarmac static
See? That was easy. One step, you will think so linearly that math becomes easy.
Experience to validate: I did this and I've gotten A+ in every math course and calculus at university.
You either are not being taught good mathematics courses, or have been taught a fucking amazing decades-long computer science course covering chaos, multivariable nonlinear analysis, spectral theory, number theory, advanced group theory, spherical harmonics, Green's functions, complex nonlinear fourier analysis, order theory, proof theory, model theory and hypercomplex analysis to name but a few.
the only "way" (i guess you could say) that .999... is equal to the value of 1.0 is in the display of calculators that just simply round to the nearer value.
the math that was done above does not prove anything at all, especially that any repeating value is equal to anything but its self. Mostly because that math was *wrong*
here:
Quote:
let x=.999999...
okay, we'll let x equal that
10x=9.99999....
okay now we have an equation, lets solve for x...
Subtract x from both sides
9x=9
wrong, subtracting x from both sides is done as follows:
10x=9.99999....
(10x) - (x) = (9.99999....) - (x)
9x = 9.999999 - x
this proves nothing, or shows nothing.
Therefore, x=1
also, incorrect...
if you wanted to solve for x, you just would have had to divide by "10" (or whatever coefficient is in front of the variable there), so you would get:
10x = 9.99999....
(10x)/10 = (9.999..)/10
now... here is where I would like you all to listen...
everybody... PLEASE TAKE OUT your Ti-83+ or Ti-89 calculators...
enter each of the following in and see what you get as an answer:
9/10
9.9/10
9.99/10
9.999/10
9.9999/10
9.99999/10
9.99999999999999999999/10
as you can see, the only reason that last entry is "equal" to one is because the value and amount of the final value that it increases by per iteration is so so so (let me fully express the word "so") infitesimally small, that the calculator reached its bounds of sigfigs and rounds it up... thats it. done.
you can spend eternity doing those calculations above by hand and you'd never reach the value of one (1), you would literally get an infinite amount of *.9s*
I wish it wasn't so time consuming and frustrating to practice math. The key with all types of math is to practice like a motherfucker. Things become second nature when you do them for the 9002nd time...
Therefore, 9x=9, as the right hand side of the equation we simplified above.
The reason this isn't intuitive is because the .9 represented literally repeats infinitely (not just a lot) and we're inherently not equipped to deal with infinity intuitively.
wrong, since
10x = 9.9999
subtract .9... from both sides leaves you with not 9x = 9 but:
9.000001x = 9re wrong here.
I'll put it this way. .999...-.999...=0youre too much of a lazy, self-absorbed idiot to realize that I am wrong so you shell it off as you "not wanting to argue" and refer me to wikipedia
even though I've clearly refuted each of your points in a logical manner to continue this debate, not argument. grow up kid.
"10-.999...= 9.00...01"
That is not the problem in question--it's also not the right answer unless there are a finite amount of nine. I've given you a proof for this, and you have tried to point out flaws in the individual step, where there are none. Math is not always intuitive: it's the proof that counts. You have not refuted my points, you've failed to understand them.
9.999...-.999...=9 is the problem you have said is inaccurate, as a part of my proof.
The other side is 10x-x, which is always 9x no matter the value for x.
Do you not accept those?
If you do, I can prove validly that .999 repeating for infinity=1. If you do not, speak to a math teacher, because I'm done.
The formal proof (or the most popular one anyways), is representing 0.999... as a geometric series, and showing it converges exactly to 1. | 677.169 | 1 |
Formal Definition of the Derivative. The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials. Product Rule and Quotient Rule. The Chain Rule and Higher Derivatives. Derivatives of Trigonometric Functions. Derivatives of Exponential Functions. Derivatives of Inverse and Logarithmic Functions. Approximation and Local Linearity. Review Problems.
Functions of Two or More Independent Variables. Limits and Continuity. Partial Derivatives. Tangent Planes, Differentiability, and Linearization. More About Derivatives. Applications. Systems of Difference Equations. Review | 677.169 | 1 |
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Friends
Britannica GCSE Maths
March 6, 2013, 9:15 am
Britannica GCSE Maths | 162 MB
Encyclopaedia Britannica GCSE Maths package is divided into two volumes entitled ``Shape, Space and Number`` and``Algebra and the Handling of Data``. To help students absorb the material covered in each sectionand to maintain interest in the program, a range of questions are put forth in various manners.``Drag and Drop`` exercises, numerical calculations and multiple choice questions are a fewexamples of the types of activities that students will encounter when using this CD-ROMs.Virtually all of the exercises provide immediate feedback. Topics Covered: Shape, Space & Number Pythagoras`` Rule and Right Angled Triangles 3DGeometry Sine and Cosine Rules Geometry of the Circle, Shape, Area and Volume Vectors and Matrices Transformations, Advanced NumberAlgebra and the Handling of Data Foundations for Algebra, Collection, Analysis and Representation of Data Graphical Methods,Use of Charts, Probability, Statistics, Interpreting Data, Non-linear Equations, Trial and Improvement Methods Link Download == > Purchase premium accounts In order to enjoy unlimited downloads with resuming support < == | 677.169 | 1 |
Mathematics For Business - 8th edition
Summary: The Eighth Edition of Mathematics for Business continues to provide solid, practical, and current coverage of the mathematical topics students must master to succeed in business today. The text begins with a review of basic mathematics and goes on to introduce key business topics in an algebra-based context.
Chapter 1, Problem Solving and Operations with Fractions, starts off with a section devoted to helping students become better problem solvers and critical...show more thinker while reviewing basic math skills. Optional scientific calculator boxes are integrated throughout and financial calculator boxes are presented in later chapters to help students become more comfortable with technology as they enter the business world. The text incorporates applications pertaining to a wide variety of careers so students from all disciplines can relate to the material. Each chapter opener features a real-world application.
Features
Current financial data used throughout the text.
Real-world applications within exercise sets are now called out by topical headings for each problem so that students immediately see the relevance of the problems to their lives.
Introduction to problem solving in Section 1.1 helps students learn how to think through solving common problems. The emphasis on problem-solving skills is carried through the text so that students can enter the business world with critical thinking skills and apply what they have learned.
Chapter openers now incorporate an application with a real-world graph or figure so students can understand how the chapter content pertains to actual business situations.
Financial calculator boxes that explain how to solve examples using a financial calculator are now integrated into later chapters to familiarize students with the technology they will be using in the business world.
A Metric System Appendix, complete with examples and exercises, explains the metric system and teaches students to convert between US and metric units of measurement.
'Net Assets emphasize the World Wide Web and keep students current on how businesses adapt to technology.
Cumulative Reviews help students review groups of related chapter topics and reinforce their understanding of the | 677.169 | 1 |
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Starting at $0Key Message: The third book of a three-part series,Algebraic, Graphics, and Trigonometric Problem Solving, Second Edition, illustrates how mathematics arises naturally from everyday situations through updated and revised real-life activities and the accompanying practice exercises. Along with the activities and the exercises within the text, MathXL reg; and MyMathLabtrade; have been enhanced to create a better overall learning experience for the reader. Technology integrated throughout the text helps readers interpret real-life data algebraically, numerically, symbolically, and graphically. The active style of this book develops readers'mathematical literacy and builds a solid foundation for future study in mathematics and other disciplines. Key Topics: Function Sense and Linear Functions; Introduction to Functions; Linear Functions; Systems of Linear Equations and Absolute Value Functions; The Algebra of Functions; Addition, Subtraction, and Multiplication of Functions; Composition and Inverse of Functions; Exponential and Logarithmic Functions; Exponential Functions; Logarithmic Functions; Quadratic and Higher Order Polynomial Functions; Introduction to Quadratic Functions; Complex Numbers and Problem Solving Using Quadratic Functions; Curve Fitting and Higher Order Polynomial Functions; Rational and Radical Functions; Rational Functions; Radical Functions and Equations; An Introduction to the Trigonometric Functions; Introducing the Sine, Cosine, and Tangent Functions; Why are the Trigonometric Functions Called Circular? Market: For all readers interested in Algebra, Trigonometry.
Table of Contents
Preface
Function Sense
Cluster 1: Modeling with Functions?
Parking Problems
Objectives
Distinguish between input and output
Define a function
Represent a function numerically and graphically
Write a function using function notation?
Fill 'er Up
Objectives
Determine the equation (symbolic representation) that defines a function
Write the equation to define a function
Determine the domain and range of a function
Identify the independent and the dependent variables of a function?
Stopping Short
Objectives
Use a function as a mathematical model
Determine when a function is increasing, decreasing, or constant
Use the vertical line test to determine if a graph represents a function?
Project Activity 1.4: Graphs Tell Stories Objectives
Describe in words what a graph tells you about a given situation
Sketch a graph that best represents the situation described in words?
What Have I Learned?
How Can I Practice?
Cluster 2: Linear Functions
Walking for Fitness
Objective
Determine the average rate of change?
Depreciation
Objectives
Interpret slope as an average rate of change
Use the formula to determine slope
Discover the practical meaning of vertical and horizontal intercepts
Develop the slope-intercept form of an equation of a line
Use the slope-intercept formula to determine vertical and horizontal intercepts?
A New Computer
Objectives
Write a linear equation in the slope-intercept form, given the initial value and the rate of change
Write a linear equation given two points, one of which is the vertical intercept
Use the point-slope form to write a linear equation given two points, neither of which is the vertical intercept
Compare slopes of parallel lines?
Skateboard Heaven
Objectives
Write an equation of a line in standard form Ax+By=C
Write the slope-intercept form of a linear equation given the standard form? | 677.169 | 1 |
11th Grade Algebra II Textbook Kit (High School)
Algebra II reviews and expands concepts learned for graphing and solving linear and quadratic equations. Lessons take a more advanced look at radical, exponential, rational, logarithmic, and trigonometric equations and functions. To expose the student to higher mathematical studies, the course introduces complex numbers, probability, statistics, and analytic geometry. The TI-83 Plus graphing calculator is used all year to build concepts and expand understanding of the material. Features on matrix algebra are interspersed throughout the text. Biographical sketches of mathematicians are included.
Kit Includes: Teacher's Edition, Student Text, Tests, Tests Answer Key
This course can be taken at any point in a student's High School career | 677.169 | 1 |
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You are here
Careers
In this section you will find information on what mathematics
graduates have gone on to do, the resources and support available to
you whilst an undergraduate with us and examples of events open to our
undergraduate students. Current undergraduates please click here for events and opportunities.
First of all, you can hear from our Careers Consultant Abi Sharma, about what support is available for our mathematical sciences undergraduates.
Mathematics Graduates
Some students entering university know what career
they want to go into but the reality is that many don't, so there's no
need to worry if you're not sure what you want to do. The most
important thing to remember is that when you graduate with your
mathematics degree you'll have a set of skills that employers will find
very desirable. When you graduate with your degree you will have:
Excellent analytical abilities
The ability to work independently
Highly developed numerical skills
Effective communication skills
The ability to apply mathematical modelling to the real world
Practical computational skills.
These skills are in great demand by employers and you will have
the potential for high earnings in the course of your career. The average
starting salary for a mathematics graduate is around £22,000 and is higher than
the average starting salary for all subjects. Unlike graduates in more
vocational disciplines, mathematicians are not limited to one obvious area of
employment. For example, mathematics graduates can be found in
The two guides below have been produced for the benefit of our
students. One looks at the impact of mathematics beyond the subject
itself and provides a clear link from the syllabus to applications in a
range of different industries whilst the other has primarily Queen Mary
mathematics alumni talking about their careers and/or postgraduate
study. You can also find advice from employers in a series of videos to
be found here.
An opportunity for your students to join Quest Overseas
on our summer community projects in Peru and Malawi.
We have teams departing to work on
these projects in July 2012, and
wanted to make your department aware, as they may
be of particular interest to your Mathematics students
interested in overseas travel, volunteering and
international development.
Working in partnership with Joshua Orphan & Community Care,
the aim of this project is to improve the quality of life for some of Malawi's
thousands of orphans. The majority of these children have been orphaned as a
result the HIV/AIDS crisis and each community supports around hundred
vulnerable children, a major strain on local resources. The project work aims
to improve community facilities, e.g. schools and clinics to give these
children a brighter start in life.
The
focus of the work is construction, for example
renovating schools or building a feeding centre. The exact nature of the work
you will be doing depends on what is most needed in the area at the time,
something Joshua work out in consultation with the local community. Aside from
getting hands on with the construction, volunteers also have opportunities to
get more involved with the community, such as working with the local scout
groups and with local kids ‐ on health and hygiene, environment or HIV workshops‐ the options
are endless! Work in local orphan feeding centres, and potentially work with local youth groups on projects
on HIV/AIDS awareness. The project is extremely community based and offers
volunteers a unique insight into the challenges and the warmth of rural
Malawian life.
Volunteers will also have the chance
to visit some of Malawi's best sights, for example kayaking on Lake Malawi,
trekking up Mount Mulanje or spotting wildlife on safari in Liwonde National
Park.
Quest
Overseas has been working with the Inti
Wara Yassi wild animal sanctuaries in Bolivia for the past 9 years,
building the infrastructure, expanding the land of the parks, and working with
the animals. Just over two years ago, the project expanded into its third
location in the Bolivian Amazon, due to the ever increasing flow of animals
arriving at the parks.
Work with the animals is extremely hands on, with each
volunteer taking responsibility for their own animal, whether it be a monkey,
bird or wild cat. Daily tasks will involve cleaning enclosures, feeding your
animal and accompanying them out into the forest. With the monkeys and birds,
it is often a case of working with them while they are getting used to their
natural habitat again (most will have been rescued from the pet or circus
trade) before releasing them back into the wild. With the wild cats, it is more
often a case of making their life as enjoyable as possible as they almost
always cannot be released into the wild - so they get taken for daily
walks!
As well as the work with the animals, our teams also work to
improve the infrastructure of the parks, building enclosures and clearing
trails, for around two and a half weeks of the project. A substantial
proportion of the cost of the project is a donation direct to the sanctuaries,
allowing them to continue their work throughout the year. It is a fantastic
project to be a part of and we are sure your students would benefit immensely
from being part of it
If you would like to find out more about the projects
above, please email [email protected],
phone us on 01273 777206, or chat
to us online. More information about Quest Overseas and how we work can
also be found on our website and
we're more than happy to answer any further questions you may have. | 677.169 | 1 |
Heya guys! Is anyone here know about grade nine math software? I have this set of questions regarding it that I just can't understand. Our class was assigned to answer it and know how we came up with the answer. Our Algebra teacher will select random students to answer it as well as explain it to class so I require comprehensive explanation regarding grade nine math software. I tried solving some of the questions but I think I got it completely wrong. Please help me because it's urgent and the deadline is close already and I haven't yet figured out how to solve this.
What precisely is your difficulty with grade nine math software? Can you provide some more information your problem with locating a tutor at an reasonable cost is for you to go in for a right program. There are a number of programs in algebra that are obtainable. Of all those that I have tried out, the the top most is Algebra Buster. Not only does it crack the math problems, the good thing in it is that it makes clear each step in an easy to follow manner. This makes certain that not only you get the right answer but also you get to study how to get to the answer.
Yes I agree, Algebra Buster is a really useful tool
I remember having often faced problems with gcf, quadratic equations and rational inequalities. A truly great piece of math program is Algebra Buster software. By simply typing in a problem homework a step by step solution would appear by a click on Solve. I have used it through many algebra classes – Remedial Algebra, College Algebra and Remedial Algebra. I greatly recommend the program. | 677.169 | 1 |
Matrices are relatively simple when you've been doing them for a while. Just keep going at it.
EDIT: Actually they get fairly complicated when you start looking at the identity matrix and transformations using matrices. So just make sure you understand matrix multiplication before moving on to the further stuff. | 677.169 | 1 |
Have you ever taken the time to look at how many calculus youtube videos there are? If you are trying to learn calculus, either on your own or to supplement your classwork, watching youtube videos is a great way to get different perspectives on the material to help you understand. But where do you start?
Even if you were able to sort through and reject the bad videos that are either incorrect or don't teach you anything (which is very difficult to do when you are learning the topic) and only focus on the good videos, there are still a LOT of good ones out there.
We are working, at 17calculus, on going through each video, placing the good videos discussing theory on each page with an introduction on what is in the video, so that you will know what videos will help you and what you can expect to see in the videos.
Then, rather than just throwing all the videos with examples together and making you sort through them, we are organizing them into practice problems. This should help you know which videos will help you, while at the same time giving you practice problems, which we said in a previous blog entry, is the key to you understanding calculus.
We are well on our way to accomplishing this on every page. Check the topic you are currently studying to see if we have finished that page. If not, contact us and let us know, so that we can work on it for you, time permitting.
By the way, you can still watch the raw videos that we think are the best on our new youtube page. We are building playlists of the videos, which you can watch either in youtube or in the additional information panel at the very bottom of each page. Building these playlists is not as further along as the other updates we mentioned above. But we will continue to add more great videos as we go along.
As promised we have been adding lots and lots of practice problems. We now have over 500 practice problems with about half of those on infinite series. We have been focusing very hard on infinite series since we know most students struggle with them. However, they are not hard as long you work plenty of practice problems, more than you usually do for other calculus topics. The infinite series practice problems are nearly complete . . . for now. We will always add more practice problems but currently, we need to focus on other areas.
In the meantime, check out these PatrickJMT free practice problems. You will find plenty of written out practice problems that should hold you for now. PatrickJMT is one of 3 featured instructors on our site that we think explains calculus well, uses good notation and is a good instructor. We highly recommend his videos.
What would you like to see? What is coming up in your class in the next few weeks? Let us know and we may be able to get you some practice problems.
Practice problems are the core of learning calculus. You can watch videos, read books, listen to lectures, watch others work problems and you still won't get calculus until you sit down and work practice problems on your own and wrestle through every derivative, every integral, every series test . . . well, just everything!
Here at 17calculus, we are working hard to bring you more practice problems. Over the next few weeks, you will notice lots more practice problems showing up. We have over 300 practice problems now but we hope to have LOTS more soon. Exactly what do we mean by 'lots'?
Well, not only have we wanted to bring you tons of practice problems for a long, but we also noticed another problem. We have over 1400 videos, the best videos available on youtube. But how do you know which videos to watch? Some of them explain theory, but most just show examples. And most of the time you have to actually watch the video to know if it applies to you. That sounds like a good way to waste time.
So, to solve both problems, we are going through each video, and telling you which ones discuss theory and which ones have examples. Then we post the video so that you can watch only what applies to you. You will be able to watch theory without having to look at examples that you may not understand yet. And you will be able to work practice problems without having to wade through all the theory, searching for that perfect practice problem.
The examples from many of the videos are shown as practice problems at the bottom of each page. You can tell they are videos because the button to show the solution will say 'Video Solution'. The practice problems with buttons labeled 'Detail Solution' are practice problems with worked out solutions and may or may not contain a video as well.
So check out the first few pages we've been working on listed below. Give us a few months to get this done. Like we said, we have over 1400 videos at the moment and more are added periodically. But we will be working diligently to bring you the best videos and the best practice problems for calculus available online. Our goal is to have at least 25 practice problems for each technique with more for difficult topics. So, to answer our question above, lots means hundreds!
We are glad to bring you news about updates to the 17calculus menus. Over the next few days, you will notice the menus move from the left side to the top of the screen. As you scroll down, the menu will stick to the top of your window, so that it is handy no matter where you are on the screen.
The new menu is more compact and concise, containing only the links that we anticipate you will need, depending on what page you are on. So, for example, if you are on a single variable calculus page, you will have access to all of the other single variable calculus pages as well as the main pages of the other main topics on the site, multi-variable calculus and differential equations, without a lot of extra links that you probably will not use. This simplified form should make it easier for you to find what you are looking for.
We also believe that navigation on small screen portable devices like iPads and iPhones will be easier for you until we get complete compatibility with these devices implemented.
Additionally, we have removed the functionality related to Zopim to submit questions. The use of flash by the plug-in slowed load time significantly. So we decided to remove it for now. We may research another option that doesn't rely on flash. Until then, feel free to go to the contact page to submit a question by email. You will find a utility there to be able to send properly formatted equations to us. This should make answering them much faster. Make sure you read the short instructions there on how to get your question answered quickly. We really do want you to ACE calculus.
For several months, you have had the option to contact us by leaving a message in a box in the lower right corner of the calculus pages. We recently added several ways for you to ask us general questions, calculus questions or just let us know how we are doing from the contact page. Included on that page is also a way to format and send us equations, even complicated ones including integrals and sums. See the contact page for details. Make sure to follow the instructions so that we can answer your question quickly and completely.
We hope to hear from you soon!
To quote the Terminator, I'm back! After being absent for a few months while our office moved from the central US to central Europe, we are planning to spend more time in the next few weeks getting ready for fall semester. In addition to adding videos and practice problems in all subjects as we come across them, our main focus will be to more fully develop the multi-variable calculus pages, mostly in the area of vector analysis.
As usual, if you have a specific area that you would like us to work on, feel free to leave a comment here or go to 17calculus and leave a message in the help box in the lower right corner of the screen. You can also email us at the address found on the about page.
Make sure not to waste your summer by studying too much or too little. Spend a lot time relaxing but also take a few hours (at least 10) every week to go over some of the material from your spring courses so that you don't lose that newly-learned material.
Also, keep an eye on your schedule for fall. Summer is a great time to get a head-start on your fall classes. Here are a few ideas.
- Get your textbooks early, now, if you haven't already. Scan through them and read carefully the first 2 or 3 chapters.
- See if you can get a syllabus from a previous semester (preferably from the same teacher that you will have) to get an idea of where your instructor will start. Start reading and studying now.
- Read books on how to be a better student. You probably didn't learn how to be a good student before college. It is something that needs to be developed and studied separately. You will find some books in the 17calculus bookstore.
- Go back to your spring semester material to review difficult material that you struggled with. This is especially important if the material was a prerequisite for a class coming up this fall or later in your degree program.
But most of all, relax. Your mind and body need to rest after the intensity of later year. Take care of yourself with proper rest, exercise and nutrition.
The MathJax update is complete and equations are now rendering correctly. Additionally, problems with Google Chrome and Safari, both on Mac OSX, have been fixed by the new version of MathJax. The rendering seems to be much quicker too. So I think the update was worth the inconvenience. I hope these problems did not interfere with your calculus learning.
MathJax, the system we use to display equations, is in the process of updating. This could take several hours (up to a day) to correct itself. So by late Monday, everything should be working again (according to the MathJax people).
Thanks for your patience.
You now have the option of giving feedback on pages, practice problems and exams. We are in the process of adding to each page so that you can tell us if you like the information. You can also use this as a way to quickly tell us if you find a mistake (in which case, please let us know what the mistake is by sending a message using the zopim chat).
The voting looks like this.
To vote, you just click on one of the triangles and the vote count changes to reflect your vote. You can un-vote by clicking the same triangle again or click the other triangle to change your vote.
The first page to receive this update is the Finite Limits page. There is a voting option for the page and for each practice problem. Let us know what you think.
We have an exciting new addition to 17calculus. You can now ask questions directly and get your answers immediately when we are online. If we are away, you can submit your questions and they will be answered as soon as we are able.
We are trying out Zopim Chat on each page. Let us know what you think and if you need help with your calculus material. All help is free. | 677.169 | 1 |
8
Total Time: 1h 43m
Use: Watch Online & Download
Access Period: Unlimited
Created At: 07/29/2009
Last Updated At: 07/20/2010
This 8-lesson series will give you an introduction to Calculus I and will walk you through a review of some Pre-Calculus material that you need to master for success in Calculus. Calculus is used to find instantaneous rates of change and the areas of exotic shapes.While we can find average rates of change, like velocity, with set formulas, we cannot find instantaneous rate of change with calculus because dividing by a 0 gives us an undefined answer. Our review of Pre-Calculus will cover functions, the graphing of lines, parabolas, and an intro to Non-Euclidean Geometry.
A function pairs one object with another. A function will produce only one object for any pairing. A function can be represented by an equation. To evaluate the function for a particular value, substitute that value into the equation and solve. You can evaluate a function for an expression as well as for a number. Substitute the entire expression into the equation of the function. Be careful to include parentheses where needed.
A graph is a way of illustrating a set of ordered pairs. One of the easiest objectsto graph is the line. Lines have direction, but no thickness. The slope-intercept form, y = mx + b, and the point-slope form, ( y - y1 ) = m( x - x1 ), are two means of describing lines. When writing the equation of a line, the point-slope form is easier to use than the slope-intercept form, because you can use any point.
The graph of a second-degree polynomial expression is a parabola. A parabola consists of the set of all points in a plane that are equidistant from a fixed line (the directrix) and a fixed point not on the line (the focus). When graphing functions, start by looking for ways to simplify their expressions. Always promise that the denominator will not equal zero when you cancel. The distance formula is an application of the Pythagorean theorem. It states that d = [(x2-x1)^2 + (y2-y1)^2]^(1/2)
In Euclidean geometry, the shortest distance between two points is inevitably going to be a straight line. In Non-Euclidean geometry, however, this is not always the case..Below are the descriptions for each of the lessons included in the
series:
Calculus: An Introduction to Thinkwell's Two Questions of Average Rates of Change antid How to Do Math Functions Graphing Lines Parabolas
Taught by Professor Edward Burger, this lesson comes from a comprehensive Calculus course. This course and others are available from Thinkwell, Inc. The full course can Some Non-Euclidean Geometry | 677.169 | 1 |
Curriculum Design: Pre-requisites/Co-requisites/Exclusions
The notion of a limit underlies a whole range of concepts that are really basic in mathematics, including sums of infinite series, continuity, differentiation and integration. After the more informal treatment in the first year, our aim now is to develop a really precise understanding of these notions and to provide fully watertight proofs of the theorems involving them. We also show how the theorems apply to give useful facts about specific functions such as exp, log, sin, cos, including some integrals and other unexpected identities. | 677.169 | 1 |
Data, Graphing, and Statistics Smarts!
Are you having trouble with graphs? Do you wish someone could explain data, graphing, or statistics to you in a clear, simple way? From ratios and line plots to percentiles and sampling, this book takes a step-by-step approach to teaching data, graphing, and statistics concepts. This book 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 your skills, this book will be a great choice.
show more show less
Edition:
2012
Publisher:
Enslow Publishers, Incorporated
Binding:
Trade Paper
Pages:
64
Size:
6.50" wide x 9 | 677.169 | 1 |
@article {MATHEDUC.06143300,
author = {Planinic, Maja and Milin-Sipus, Zeljka and Katic, Helena and Susac, Ana and Ivanjek, Lana},
title = {Comparison of student understanding of line graph slope in physics and mathematics.},
year = {2012},
journal = {International Journal of Science and Mathematics Education},
volume = {10},
number = {6},
issn = {1571-0068},
pages = {1393-1414},
publisher = {Springer, Dordrecht},
doi = {10.1007/s10763-012-9344-1},
abstract = {Summary: This study gives an insight into the differences between student understanding of line graph slope in the context of physics (kinematics) and mathematics. Two pairs of parallel physics and mathematics questions that involved estimation and interpretation of line graph slope were constructed and administered to 114 Croatian second year high school students (aged 15 to 16 years). Each pair of questions referred to the same skill in different contexts-one question in the context of mathematics and the other in the context of kinematics. A sample of Croatian physics teachers ($N = 90$) was asked to rank the questions according to their expected difficulty for second year high school students. The prevalent ranking order suggests that most physics teachers expected mathematics questions to be more difficult for students than the parallel physics questions. Contrary to the prevalent teachers' expectations, students succeeded better on mathematics than on physics questions. The analysis of student answers and explanations suggests that the lack of mathematical knowledge is not the main reason for student difficulties with graphs in kinematics. It appears that the interpretation of the meaning of line graph slope in a physics context presents the largest problem for students. However, students also showed problems with the understanding of the concept of slope in a mathematical context. Students exhibited slope/height confusion in both contexts, but much more frequently in the context of physics than in the context of mathematics.},
msc2010 = {M50xx (I20xx)},
identifier = {2013b.00822},
} | 677.169 | 1 |
College Algebra
9780073312620
ISBN:
0073312622
Edition: 8 Pub Date: 2007 Publisher: McGraw-Hill College
Summary: The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the students and instructors will find E...xplore-Discuss boxes which encourage students to think critically about mathematically concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful.[read more | 677.169 | 1 |
Math 150A: Calculus I
Text
Exams and Grading
There are four midterms, each worth 100 points, and the common final exam, worth 200 points. If a student is on a borderline based on the exams, homework will be used in determining the course grade. Plus or minus grades are possible. | 677.169 | 1 |
Table of ContentsPreface and acknowledgements How to use this book Times tables Arithmetic 1 - Basic Arithmetic and the BODMAS rule. Getting used to basic arithmetic and simple calculations, and making sure you perform them correctly 2 - Negative numbers. Understanding negative numbers and dealing with them accurately. 3 Fractions. Understanding what fractions mean and being able to manipulate them correctly. 4 Percentages, ratios and proportions. Using percentages and ratios to describe and compare values. 5 Decimals, decimal places and significant figures. Using decimal numbers and rounding numbers to a certain number of decimal places. 6 Scientific notation. Representing very small and very large numbers using scientific notation 7 - Indices. Writing repeated multiplications easily, roots and the laws of powers. Algebra 8 An introduction to algebra. Using symbols to represent numbers and an introduction to algebra 9 Brackets in algebra. Using brackets in algebraic expressions 10 Solving linear equations. Solving simple equations using algebra. 11 - Transposition and algebraic fractions. Rearranging expressions using basic rules of algebra. 12 - Simultaneous equations. Solving two equations at the same time. Data 13 Presentation of data. Using various types of graphs and charts to illustrate data visually. 14 Measures of location and dispersion. Working out averages and a measure of the spread of a set of data. 15 - Straight Lines. Linear data and calculating the equation of a straight line. 16 Introduction to probability. Working out probabilities - the chances of something happening Other topics 17 Areas and volumes. Calculating the areas and volumes of basic shapes 18 Logarithms. Calculating logarithms - the opposite of powers 19 Quadratic equations. Solving equations involving powers of x. 20 Trigonometry. Calculations with triangles, including angles and trigonometric functions. 21 Inequalities and basic logic. Using mathematical symbols to represent inequalities and basic logical concepts Summary Further work on our website Glossary Index
Unibooks online prices may differ to those in store. All Prices EXCLUDE shipping.
*10% OFF RRP applies to textbooks only unless otherwise stated | 677.169 | 1 |
Algebra 1 B
Course Description:
Students will obtain mastery of basic algebra concepts and move into linear equations, inequalities, functions, and what role they play in the real world. They will also understand the best strategy to use when looking for a solution. | 677.169 | 1 |
books.google.co.uk - Algebra can be like a foreign language, but ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, gives you the tools and practice you need to fully understand the language of algebra and the "why" behind problem solving. Using Strategy and Why explanations in worked examples and a six-step problem solving strategy,... and Intermediate Algebra | 677.169 | 1 |
Synopsis
A comprehensive, self-contained treatment of Fourier analysis and wavelets—now in a new edition
Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level.
The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature:
The development of a Fourier series, Fourier transform, and discrete Fourier analysis
Advanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transform
Applications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB routines that supplement the presented examples.
A First Course in Wavelets with Fourier Analysis, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary | 677.169 | 1 |
...It was a sequel to the first course. The class had a seminar format, and I regularly delivered lectures on advanced topics. Much of the material covered was similar, but abstract linear transformations and vector spaces were given precedence over their realizations as matrices acting on column vectors will never stop being one. DavidI taught for 28 years and was the English department chair at a school with a rigorous curriculum that emphasized writing. Most of my students returned to tell me that I had provided them the foundation of their writing skills. | 677.169 | 1 |
The PITA Principle: How to Work With (and Avoid Becoming) a Pain in the Ass
Through entertaining scenarios and real-life situations, The PITA Principle describes the different kinds of PITAs (Pain in the Ass) at work and how to cope with each. Readers are provided with a positive scenario for each type of PITA, showcasing techniques for working with this personality type. Readers then engage in a self-evaluation process, identifying their own PITA tendencies. Finally, the authors identify ways to improve upon various self-identified PITA characteristics through a cognitive-behavioral approach to change.
Give students that extra boost they need to acquire important concepts in specific areas of math. The goal of these "how to" books is to provide the information and practice necessary to master the ... | 677.169 | 1 |
I can no longer think of math without the Algebra Buster . It is so easy to get spoiled you enter a problem and here comes the solution. Recommended! D.E., Kentucky
I just bought this software and after using it for a few days I found it worth the money I paid for it. I love entering my own problems; the software covers all the aspects of algebra questions one can get in an exam. Nobert, TX
Your program saved meThis is really something. Thank you. Susan, AZ10-07 :
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1. You have to simplify radical expressions before adding or subtracting because you can only add or subtract expressions with the same value inside the radical sign. | 677.169 | 1 |
Search Mathematical Communication:
Mathematical Communication
MathDL Mathematical Communication is a collection of instructional strategies, materials, and references for having students write and speak about mathematics, whether for the purpose of learning mathematics or learning to communicate as mathematicians. | 677.169 | 1 |
Sections
Our e-book is also available to buy as individual sections, and include a comprehensive array of Mathematical problems in clearly–explained teaching text with plenty of worked examples. Sections are graduated in order of difficulty and are followed by exercises with fully worked answers
GCE Advanced Subsidiary Section 01
MODULE AS CORE MATHEMATICS 1: ALGEBRA 1
Indices: laws of indices
Surds:incuding simplifying and rationalizing the denominator
The Straight Line Function: theory; linear inequalities
The Quadratic Function: solution of a quadratic equation/inequation by graph | 677.169 | 1 |
Question about linear algebra as applied to physics
Question about linear algebra as applied to physicsLinear algebra is a requirement for both Physics and Engineering majors at my school. What most people found hard about it was that it tends to be quite different from the high school math and calculus that you're used to, so personally I'd recommend taking a course on it rather than trying to teach yourself.
Question about linear algebra as applied to physics
However, it is required for the honours degree and it is very strongly recommended by all the profs if you're planning on grad school.
I've also heard of schools that didn't require a specific course in LA, or any advanced math classes, because their physics students were required to take a progression of mathematical physics courses to get the math they needed. Maybe this is the course with your institution?LA isn't required by the physics or the engineering department at my school though it's taught in the classes specific to where it's needed; however I would recommend you take it at least before you take quantum mechanics. On top of partial differential equations, QM is lots of transformations.
The first class sounds exactly like the linear algebra course I just took, and I am a physics major. I have yet to really use much of it in my physics courses, but I havent taken classical mechanics 2 or quantum, which I hear use it quite often. I think you should be fine with the first course. | 677.169 | 1 |
Newell-Fonda School District
you can find my blog at: math and science blog
If you like jigsaw puzzles click on the arrow:
Algebra 2
prerequisite: Algebra 1
Algebra II completes the automation of the fundamental skills of algebra including field properties and theorems, set theory, operations with rational and irrational expressions, factoring of rational expressions, graphing and solving linear and quadratic equations, inequalities, properties of higher degree equations, and operations with rational and irrational exponents. Uniform motion problems, boat-in-the-river problems and chemical mixture problems appear in problem sets. Simultaneous equations in two and three variables, nonlinear equations,right triangle trigonometry, conversion from rectangular to polar and polar to rectangular coordinates, addition of vectors are also emphasized. Also studied are similar triangles, complex numbers, completing the square and the quadratic formula.
This is a college credit course, so see me for the prerequisites. (4 credits)
Calculus I is the first course in integrated calculus and analytic geometry. The concepts of analytic geometry are studied as they apply to calculus. The calculus concepts covered include the rate of change of a function, limits, derivatives of algebraic, logarithmic, trigonometric and inverse trigonometric functions, applications of the derivative and an introduction to integration.
Calculus II is the second course of the calculus sequence. It includes the study of techniques and applications of integration, infinite series, conics and parametric equations, polar equations and graphs, and vectors in two and three dimension.
Chemistry describes the nature of the world around us. The student will learn how atomic theory and chemical laws can explain why things act and have the properties they do. chemistry involves the study of composition, properties, and reactions of substances. This course explores such concepts as the behaviors of solids, liquids, and gases, solutions, and the nature of atoms and molecules, acid/base and oxidation/reduction reactions and atomic structure. Chemical formulas and equations are also studied.
Geometry is a thorough and comprehensive treatment of pre-calculus mathematics. Specific topics covered in this text include permutations and combinations; trigonometric identities; inverse trigonometric functions; conic sections; graphs of sinusoids; rectangular and polar representation of complex numbers; matrices and determinants; sequences and series; polynomial, logarithmic, exponential, and rational functions and their graphs; vectors; the binomial theorem and the rational root theorem. Additionally, a rigorous treatment of Euclidian geometry is presented. Students are afforded extensive practice formulating and writing proofs of various geometric theorems throughout the text.
Physics courses involve the study of the forces and laws of nature affecting matter, such as equilibrium, motion, momentum, and the relationships between matter and energy. Included are the study of waves, light, electricity and thermodynamics. Problem solving skills are taught to help analyze and evaluate data so that logical decisions will be employed. Labs and other activities are provided to obtain experience with the concepts discussed.
This is a college credit course, so see me for the prerequisites. (3 credits)
Statistics I is the first course in basic probability and statistics which includes the study of frequency distributions measures of central tendency and dispersion, elements of statistical inference, regression and correlation.
Statistics II is the second course in the statistics sequence. It includes the study of additional topics in probability, correlation, regression and statistical inference. The course also includes the topics of Chi-square procedures, analysis of variance, non-parametric methods and statistical quality control. | 677.169 | 1 |
Introduction to the History of Mathematics
9780030295584
ISBN:
0030295580
Edition: 6 Pub Date: 1990 Publisher: Thomson Learning
Summary: This classic best-seller by a well-known author introduces mathematics history to math and math education majors. Suggested essay topics and problem studies challenge students. CULTURAL CONNECTIONS sections explain the time and culture in which mathematics developed and evolved. Portraits of mathematicians and material on women in mathematics are of special interest | 677.169 | 1 |
Mathematics By Rd Sharma For Class 9th
On this page you can read or download Mathematics By Rd Sharma For Class 9th in PDF format. We also recommend you to learn related results, that can be interesting for you. If you didn't find any matches, try to search the book, using another keywords.
. two eighth-grade mathematics classes using different curricular materials in each of the classes. Lloyd (in press) studied a high school mathematics teacher's. PROBABILITY SYLLABUS IN CLASSES OF DIFFERENT LEVELS1 Mathematics teaching that aims to develop understanding is frequently associated with devoting considerable class time to.- and in low-achieving classes. This study examines actual practices of teaching mathematics and of classroom interactions in classes having different levels taught. | 677.169 | 1 |
Maths The Basic Skills is part of a suite of resources accompanied by 3 workbooks and 3 worksheet packs - available to buy separately. These resources have been designed specifically for the Adult Numeracy Curriculum, covering Entry Levels 1, 2 and 3 and Levels 1 and 2.
All topics within the resources are clearly labelled with a curriculum reference to assist with planning.
The student book targets the higher levels of the Adult Numeracy Curriculum, Entry Level 3, Level 1 and Level 2. Covering all of the three subject areas of the curriculum in one book, with revision of Entry Level 1 and 2 topics where appropriate. | 677.169 | 1 |
Stremple, William (BJ)
We begin the year with a review of the properties of algebra and the arithmetic of real numbers which include integers and fractions. We will discover how to solve one and two step equations. LInear functions will be explored and graphed on the coordinate plane. The course also includes introductory probability and geometry. This course does have an SOL test as well as a midterm and final. | 677.169 | 1 |
Algebra and Trigonometry-Stud. Solution Manual - 2nd edition
Summary: Anyone trying to learn algebra and trigonometry may think they understand a concept but then are unable to apply that understanding when they attempt to complete exercises. This innovative book helps them overcome common barriers to learning the concepts and builds confidence in their ability to do mathematics. The second edition presents new sections on modeling at the end of each chapter as well as new material on Limits and Early Functions. Numerous examples are a...show morelso included that provide more detailed annotations using everyday language. This approach gives them the skills to understand and apply algebra and trigonometry. ...show less
04704337 | 677.169 | 1 |
Student Learning Profile
Within a well-balanced mathematics curriculum, the primary focal points for Algebra I are to continue to build and apply basic understandings developed in K-8, develop symbolic reasoning, understand functions and their relationships with equations, and be able to use a variety of tools and technology to represent functions with multiple representations.
The student will:
·Understand that a function represents a dependence of one quantity on another.
·Understand that a function can be described in a variety of ways.
·Gather and record data, or use data sets, to determine functional relationships between quantities. | 677.169 | 1 |
I approach the daunting but
enjoyable prospect of reviewing this book as someone who is a passionate
follower of mathematics, and who relishes any challenge or interesting problem
that may crop up. On the other hand, I am only a year into the A-Level
course. As such, I will probably not be able to give this book the
constructive analysis it deserves, but I shall do my best to deliver a thorough
and fair description of what I consider to be a captivating read.
The opening chapter on
geometry has both a clever and imaginative blend of familiar formulae and new,
exciting little rules that can be applied to an interesting variety of
problems. The first half of this chapter is very fluent and easy to follow. The
second half is somewhat more complex! This is an effective start to the book,
providing a hook to encourage the 'must read on' mania. The following chapter
on inequalities and induction introduces interesting and extremely powerful
ways of making algebraic proofs that can be applied to anything, simply from a
few
basic axioms and seemingly 'elementary facts'. However, I remain rather baffled
by Section 2.3 on harder inequalities.
Chapter Three, on
Diophantine Equations, is the most difficult chapter of the book, and yet the
most gripping. It is extremely well-constructed; refreshing alongside the more 'traditional' mathematical topics such as
Geometry, Algebra and Number Theory.
Chapter Four covers Number
Theory. This particular aspect of mathematics is the reason why I fell in love
with the subject. It was exciting to see the wide
extent of theorems here – particularly the
elegant Chinese Remainder Theorem
– and to sample the wide range of problems given at the end.
I have used trigonometry a
great deal during
my mathematical journey. I was, therefore, pleasantly surprised to find myself
ignorant of many of the new trigonometric identities in the fifth chapter. At
around page 199, the chapter quickly becomes more difficult, with quite a few
identities to try and memorise! (I don't think I will make it to paradise! –
see page 203.) The next chapter, on sequences and series, is quite brilliant.
It is well structured,
has great depth and is one of the easiest chapters to understand. It is packed
with a wide variety of juicy problems which one felt almost 'compelled' to
solve.
Chapter Seven, on the
Binomial Theorem takes a rather difficult topic and makes it easy to interpret.
My only struggle was in understanding the proof of the Binomial Theorem;
however,
I had no trouble applying it afterwards to the problems offered. The chapter
has left me 'wanting more'! The next chapter, on combinatorics, is one of the
most interesting chapters of the whole book. The depth to which the reader is
plunged in this chapter is not only justified, but welcome. The way in which it
is presented and employed here has given me an entirely new look on the subject
helping me to solve problems which have been irking my mind for some time. The
most interesting part of the chapter concerned the pigeon-hole principle which
was presented as a fun and dynamic concept.
The final chapter is
entitled 'Miscellaneous
Problems'. Why isn't every mathematical
examination paper like this? The huge range of subjects covered in this last
section did not perturb me in the slightest; on the contrary,
I found it to be a nice touch after going into so much depth on a variety of
subjects, although Problem 7 did catch me out!
This book is brilliant. I
enjoyed its structure, and how it all seems to fit together, so that readers
can make their own interpretation of it, even if the mathematics is unfamiliar
to them in certain places. The cartoons are a welcome interlude from the
hard-core
mathematics, giving the reader a funny take on an aspect of mathematical
history or culture. Speaking of mathematical culture, one of the key authors of
this book is Zimbabwean,
showing that mathematical education there is still strong despite the political
turmoil. Finally this book will prepare Olympiad hopefuls for 'The
Intermediate Challenge of Mathematical Olympiads'. The reader will certainly be
ready. But, most importantly, primed!
This is an intricate and absorbing novel, set mainly in Cumbria, about time, memory and prejudice. It is being mentioned here because
I felt it worth drawing attention to this sympathetic and convincing portrayal
of one of the main characters, Lisa Wallace, a mathematician
(she is also achondroplasic). The author acknowledges guidance from
mathematicians including Ian Stewart, Uwe Grimm and Ian Porteous: Lisa as
mathematician rings true, as does the mathematics in the novel (which
includes a conference on mathematics and art), and it is refreshing to read a
novel which integrates mathematics seamlessly into its themes. The story is not
always comfortable but I found
it rewarding and Lisa has become one of my favourite fictional mathematicians.
The author runs SciTalk – a web resource for connecting writers and scientists
– and this novel, very much the author's own but influenced by fruitful
conversations with practitioners, exemplifies the value of such a resource.
Background information on the novel can be found at
The cover for this book
holds a Venn diagram containing three intersecting sets: Males, My Siblings and
Things That Are Heavy, with the appropriate intersection marked. That is,
Males ∩ My Siblings ∩
(Things That Are Heavy)c
If that raised a chuckle
then this book is for you.
The book is a collection of
112 charts and diagrams, featuring Venn diagrams and
several other types, each of which can be interpreted as the title of a pop
song. In this book 'pop song' means a song that has
featured in the UK Top 40 chart and this provides a broad mix of songs ranging
from the 1950s to today. The solutions to the puzzles are, as tradition
dictates, in the back of the book. As well as the answer, each solution gives
the artist and date that the song was in the charts, often more than one artist
and date. Several also give some explanation of the mathematics behind the
diagram.
The result is a collection
of light logic puzzles using gentle lateral thinking which are mostly witty and
amusing. This is not a book for reading from cover to cover, although I
diligently did so for the purposes of this review (I was the annoying person in
the train carriage with the giggles). Rather, this is an excellent book to dip
into. I have showed this book to a few friends and most have responded very
positively to it. One friend, who I know to dislike 'pointless logic puzzles'
(and a physicist, to boot), responded very badly to the book, regarding it as
silly and pointless, so I would not advise it for people who don't like a bit
of lateral thinking. Most people (mathematicians and non-mathematicians alike)
who have seen my copy of the book responded very well.
In many cases, a song I
remember from childhood was revealed to be a cover version of an older song.
Featuring songs that have charted in multiple decades is a good option for
increasing the range of potential audience for the book. Additionally, some of
the songs either have been subsequently formed into or are drawn from a popular
saying and so I found I was able to answer some of the problems without knowing
the songs themselves. Nevertheless, I found there were a number of song titles
for which I did not know the song, so no amount of puzzling revealed the
answer. A couple of people I showed the book to exhibited an almost complete
lack of awareness of popular music and so found the book very unexciting and
I relate this as a warning. You do not need an intimate knowledge of music to
appreciate this book but if you do not know some of the most well-known songs
of the latter half of the 20th Century you may struggle to gain a full
appreciation.
Physically, this is small
and portable for a hardback book with 128 pages of slightly smaller dimensions
than the LMS Newsletter.
Well-formatted, clean diagrams give the book an attractive visual appeal.
The author Andrew Viner is
a comedy, animation and children's writer for television and radio and has a
degree in electronic engineering. Mathematical consultancy for the book is
credited to Dr Nick Gilbert of Heriot-Watt University. At the end of the book
the author encourages the reader to draw their own
diagrams and indeed people have been doing just that. Seemingly separately from
this book there is a phenomenon called Song Charts which also involves charts
and diagrams to illustrate songs. There is a Flickr group dedicated to this
( and you may have received an email circular
featuring these. As for Venn That Tune, there is a website
( and audience participation is encouraged via a
Facebook page (search for Venn That Tune). The idea for the book originated on
the author's blog, which is an amusing read (smaller-than-life.blogspot.com).
The website for the book
proposes two sets –
People Who Like Music and People Who Like Venn Diagrams – and suggests that
people who find themselves in the intersection of these sets will like this
book. I suggest the second set is a little restrictive; I would suggest that if
you like logic puzzles, have a sense of humour and a passing familiarity with
some popular music then you should find this book amusing. I certainly enjoyed
it thoroughly.
Peter Rowlett
School of Mathematical Sciences
University of Nottingham | 677.169 | 1 |
Mathematics Department
The Mathematics Department has much to offer the students of Hempfield School District. Students are offered a rigorous curriculum of Algebra, Geometry, Precalculus, and Calculus courses, with electives in the fields of Statistics and Computer Science. As attested to by numerous Hempfield graduates, the Hempfield mathematics curriculum prepares our students well for the rigors of college, technical school, and the world of work. Additionally, Hempfield offers Advanced Placement courses in Computer Science, Statistics and Calculus for students who are ready for the challenges these courses afford.
Beyond the classroom, Hempfield math students have opportunities to compete in regional, state, and even national mathematics competitions. In grades 6-8, our students have access to the MathCounts competition program. At the high school level, opportunities such as the Pennsylvania Math League contest and the American Mathematics Competition await many of our students. In addition, Hempfield mathletes are invited annually to compete at local colleges and universities to test their mathematical and computer programming skills. | 677.169 | 1 |
Monthly Archives: March 2011
Learning how to solve problems in mathematics is simply to know what to look for.
Math problems often require established procedures and one must know What & When to apply them. To identify procedures, you have to be familiar with the different problem situations, and be able to collect the appropriate information, identify a strategy or strategies and use the strategy/strategies appropriately. But exercise is must for problem solving. It needs practice!! The more you practice, the better you get. The great mathematical wizard G Polya wrote a book titled How to Solve It in 1957. Many of the ideas that worked then, do still continue to work for us. Given below are the four essential steps of problem solving based on the central ideas of Polya.
26.74027883.888889
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0133659461
9780133659467 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 learning styles.Focused on developing algebra concepts and skillsKey algebraic concepts are introduced early and opportunities to develop conceptual understanding appear throughout the text, including in Activity Labs. Frequent and varied skill practice ensures student proficiency and success. «Show less... Show more»
Rent Prentice Hall Mathematics, Algebra 1 today, or search our site for other Bellman Mathematics | 677.169 | 1 |
Looking Glass is an interactive physics package that helps students visualize and understand the effects of optical components on light rays. While creating and exploring their own lenses and mirrors, students encounter the core concepts in opticsGraph is a program for drawing graphs of mathematical functions in a coordinate system. Graphs may be added with different color and line styles. It is possible to evaluate a function at an entered point or tracing the function with the mouse.
Many programs generate numeric output which needs to be presented graphically. Statmaster is a simple way to do that, reading a text file with data arranged in a space-separated table, and drawing up to 16 pages of histograms and XY plots.
FAS Calculator is an expression calculator which allows you to directly enter an expression to be evaluated. More than one hundred functions are supported, including algebraic, transcendental, trigonometric, hyperbolic, engineering functionsMaster Algebra in 24 hours! This Tutorial. intended for mature students, covers the Algebra Topics taught in School and required for College. It makes Algebra easy by carefully explaining the Algebra Rules with examples of how to apply them.
Finds the relative maxima and minima of functions of several variables in a given interval. You control the maximum error in the computations. Intervals may be explored in search of multiple solutions.
Smooth Operators is a complete solution for learning, practicing, and testing the order of operations. An interactive lesson teaches concepts. Practice by clicking operands, or test by typing in answers. Prepare students for algebra and higher math.
The program automatically solves algebraic equations of any order written in any form. Enter your equation and click just one button! Step by step the program will solve the equation, find its roots and describe all its operations master PAG.
Panageos is oriented to the intensive solution of problems on Plane Analytic Geometry.
The main feature of Panagoes is its power to read the user`s equations and interpret them, for this reason the data input is exclusively through the keyboard.
MobileMath is a software written by using J2ME technolology. It turns mobile into calculator supporting many operations such as : evaluate expression, plotting, differentiate & integrate expression... It can run on any mobiles supporting
Talk the input expression,talk the pressed key name,talk the result of calculation.Display the input & output at the same line & same time.Record the historcal calculation in the Log dialog.Only support (,),+,-,*,/.Accept clipboard input&
Science Teacher Helper was designed with a single purpose in mind - to save you time when editing math, chemistry and physics in documents. You can easily add 1200 functions, graphs and charts of physical, chemical and math into MS WORD document.
This great educational program will keep beginner techies of all types busy for hours. The Servo::Linux MathTutor skillfully trains you in sessions to solve difficult mathematical expressions from the basics all the way to higher level mathematics. | 677.169 | 1 |
Program Resources
Founded in 1888 to further mathematical research and scholarship, the American Mathematical Society fulfills its mission through programs and services that promote mathematical research and its uses, strengthen mathematical education, and foster awareness and appreciation of mathematics and its connections to other disciplines and to everyday life.
The Mathematical Association of America (MAA) is the world's largest organization devoted to the interests of collegiate mathematics. Members of the MAA receive many valuable benefits for modest dues. These benefits are designed to stimulate interest in mathematics by providing expository books and articles on contemporary mathematics and on recent developments at the frontiers of mathematical research, and by exchanging information about important events in the mathematical world. A major emphasis of the MAA is the teaching of mathematics at the collegiate level, but anyone who is interested in mathematics is welcome to join.
To ensure the strongest interactions between mathematics and other scientific and technological communities, it remains the policy of SIAM to advance the application of mathematics and computational science to engineering, industry, science, and society; promote research that will lead to effective new mathematical and computational methods and techniques for science, engineering, industry, and society; and provide media for the exchange of information and ideas among mathematicians, engineers, and scientists.
The American Statistical Association (ASA) is a scientific and educational society founded in 1839 with the following mission: To promote excellence in the application of statistical science across the wealth of human endeavor.
Michigan Council of Teachers of Mathematics is organized to encourage an active interest in mathematics and its teachings and to work toward the improvement of mathematics education programs in Michigan.
The National Council of Teachers of Mathematics is a public voice of mathematics education, providing vision, leadership, and professional development to support teachers in ensuring mathematics learning of the highest quality for all students.
Kappa Mu Epsilon an honor society in Mathematics promotes the interest of mathematics among undergraduate students. The chapters' members are selected from students of mathematics and other closely related fields who have maintained standards of scholarship, have professional merit, and have attained academic distinction.
Math Horizons is intended primarily for undergraduates interested in mathematics. Its purpose is to introduce students to the world of mathematics outside the classroom including stories of mathematical people, the history of an idea or circle of ideas, applications, fiction, folklore, traditions, institutions, humor, puzzles, games, book reviews, student math club activities, and career opportunities and advice. Get a copy in the departmental office!
Pi in the Sky is a semi-annual periodical designated for high school students in Alberta and British Columbia, Canada, with the purpose of promoting mathematics, establishing direct contact with teachers and students, increasing the involvement of high school students in mathematical activities, and promoting careers in mathematical sciences.
MathWorld is a comprehensive and interactive mathematics encyclopedia intended for students, educators, math enthusiasts, and researchers. Like the vibrant and constantly evolving discipline of mathematics, this site is continuously updated to include new material and incorporate new discoveries.
The Math Forum is a leading center for mathematics and mathematics education on the Internet. The Math Forum's mission is to provide resources, materials, activities, person-to-person interactions, and educational products and services that enrich and support teaching and learning in an increasingly technological world. | 677.169 | 1 |
Customer Reviews
I teach numerical methods at B.S. and graduate levels, and have found the book very useful because it introduces the MATLAB operating environment and illustate it by means of engineering problem solving.
We use three tools in our numerical methods courses: advanced programmable calculators, high level language programs and mathematical commercial languages (MATLAB). All three options are important, but we feel that MATLAB provides a powerful and relatively easy way of work in this context.
The part II of the book (numerical techniques) is not a complete coverage of the numerical methods. However, the techniques presented here are well selected and constitute a good basis to apply the operating environment MATLAB. For a numerical methods course, it will be necessary to supplement this material with other books to cover the customary content of this subject.
I like the clear style of Dr. Etter. The examples selected for problem solving are interesting and of diverse areas. The student's opinions are, generally, favorable. Finally, I would like to recommend this book to teachers, students and professionals of engineering who uses the computer for problem solving. | 677.169 | 1 |
Gainesville, TX Calculus,BradAlgebra is where a student begins to learn the order of operations and how to solve equations. Avoiding memorization helps the student see the conceptual importance of the abstract ideas the teacher has lectured upon. Calculus is the study of change. | 677.169 | 1 |
Challenge Math For the Elementary and Middle School Student (Second Edition)
Book Description: This book explains difficult math concepts in an easy to understand and entertaining format using cartoons and drawings. Children love the real world connections between math and science and will be challenged by over 1000 problems in areas such as algebra, astronomy, trigonometry, probability, and more. Answers are included in the back of the book. A great resource for those of any age who love math. Challenge Math is designed for children in grades 4-8 with higher math abilitiy and interest but could be used by older students and adults as well. Contains 20 chapters with instruction and problems at three levels of difficulty. Challenge Math can be used by children independently or in a classroom setting. This edition not only contains answers, but it also contains step by step solutions to the problems.
Buyback (Sell directly to one of these merchants and get cash immediately)
Currently there are no buyers interested in purchasing this book. While the book has no cash or trade value, you may consider donating it | 677.169 | 1 |
Secondary Mathematics I [2011]
Understand the concept of a function and use function notation. Students should experience a variety of types of situations modeled by functions. Detailed analysis of any particular class of function at this stage is not advised. Students should apply these concepts throughout their future mathematics courses.
Draw examples from linear and exponential functions. In F.IF.3, draw connection to F.BF.2, which requires students to write arithmetic and geometric sequences. Emphasize arithmetic and geometric sequences as examples of linear and exponential functions.
Graphit
With this interactive applet students are able to create graphs of functions and sets of ordered pairs on the same coordinate plane.
Inductive Patterns
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
Inductive Reasoning
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
Interpreting Functions Curriculum Guide
The Utah State Office of Education (USOE) and educators around the state of Utah developed these guides for the Secondary Mathematics 1 Cluster "Understand the concept of a function and use function notation." / Standards F.IF.1, F.IF.2, F.IF.3 and Cluster "Interpret functions that arise in applications in terms of a context" / Standards F.IF.4, F.IF.5 and F.IF.6 and Cluster "Analyze functions using different representations" / Standards F.IF.7 and F.IF.9.
Introduction to Functions
This lesson introduces students to functions and how they are represented as rules and data tables. They also learn about dependent and independent variables.
Linear Functions
The applet in this lesson allows students to manipulate variables and see the changes in the graphed line.
Making it Happen (NCTM book)
This NCTM publication is designed to help educators interpret and implement the Common Core State Standards for Mathematics.
Reading Graphs
Through this lesson students will understand how to graph functions.
Representing Functions and Relations
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
Representing Patterns
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
Representing Polynomials
This lesson unit is intended to help educators assess how well students are able to translate between graphs and algebraic representations of polynomials.
Secondary I Textbook
Secondary I Textbook is composed of modules that are aligned with the Utah Core State Standards for Mathematics. Each lesson begins with a worthwhile task that has been designed to develop mathematical understanding, solidify that understanding, or allow for practice of the new concepts, while focusing on the mathematical goals of the chosen learning cycle.
Sequencer
By using this applet students are able to create sequences by changing the values of starting numbers, multipliers, and add-ons.
Vertical Line Test
This interactive applet asks the student to connect points on a plane in order to build a function and then test it to see if it's valid | 677.169 | 1 |
This course is for secondary education majors and minors. The course takes many of the topics taught in high school or junior high school math classes and treats those topics from a more advanced standpoint. In addition, topics from abstract algebra as they relate to teaching in the secondary schools will be addressed.
TAUGHT:
Fall
CONTENT AND TOPICS:
Topics discussed in this course are those encountered in traditional algebra classes however, from a more advanced point of view. Topics to be included are: Real and Complex Numbers, function analysis, theory of equations, equality, equivalence, isomorphism, mathematical induction, divisibility properties, modular arithmetic, Archimedean and complete ordered fields.
GOALS AND OBJECTIVES:
1. Know alternate definitions, language, and approaches to mathematical ideas. 2. Generate extensions and generalizations of familiar theorems. 3. Study the historical contexts in which concepts arose and have changed over time. 4. Analyze common problems of high school mathematics from a deeper mathematical level. 5. Demonstrate alternate ways of approaching problems, including ways with and without calculator and computer technology. 6. Make connections between ideas studied separately in different courses. 7. Apply the ideas of abstract algebra to analyze the structure of various number systems. 8. Practice making conjectures and verifying with proofs. 9. Experience the power of number theory in solving problems with integral domains. 10. Compare Euclidean and non-Euclidean geometries.
REQUIREMENTS:
The student will be required to study the course textbook and present his understanding of the subject matter to other members of the class. The student will be required to solve or prove mathematical problems and propositions, sometimes alone, and at times in a group setting. Other requirements will be to do assigned readings, homework, oral and written reports, take exams, and collaborate on class projects.
PREREQUISITES:
Math 301
OTHER:
This course will have variable credit. Students registered for two credits will attend for one-half the semester and will be assessed for the work required during that time period. Students registering for four credits will attend the class the entire semester. All math majors must register for Math 440 (four credits). Any math minor prepared to begin their math course work with Math 112 (Calculus) must also register for Math 440 (four credits). Any student desiring a math minor and not prepared to begin their math course work with Math 112, first take Math 111, a two-credit prerequisite. Students in this situation must then register for Math 440 for two credits. This must be done so as to adhere to the university's policy of not allowing "hidden" prerequisites. | 677.169 | 1 |
TH214 Modeling of the Environment
Course Description
A course offering a thorough and useful beginning-level understanding of mathematical modeling. Examines diverse applications from the physical, biological, business, social and computer sciences. Discusses the limitations, as well as the capabilities, of models applied in understanding the real world and its inhabitants.
Learning Outcomes
Enter data into the computer and plot equations. The student will also determine variable dependency and characterize data.
Solve equations on the computer, substitute data points into equations, and manipulate the equations, and manipulate the equations on the screen.
Understand the concept of a linear model on the computer to describe appropriate data.
Formulate an appropriate quadratic model to describe carbon dioxide emissions from autos and power consumption in the U.S. or other appropriate problems.
Understand the concept of a quadratic relationship and the difference to other models. The student will be able to develop a quadratic model on a computer to describe appropriate data.
Understand the concepts of exponential and logarithmic relationships and their difference from other models.
Summarize models to environmental or economic problems such as those connecting carbon dioxide emissions, people and money, models of the gross national product, population growth, and the efficiency of alternative energy sources developed. | 677.169 | 1 |
How long does it take on avg. to finish Spivak's Calculus book?
How long does it take on avg. to finish Spivak's Calculus book?
i would like to gain a deeper understanding of Calculus so i'm planning on self-studying more on the side. i will do majority of my studies during winter break but i'd like to know long it takes a student who has already taken Calculus 2 to finish his book?
i know it's dependent on the person, but i'm committed and would just like to know.
Why not just get a regular analysis book like Pugh? He explains things very well. I don't think Spivak covers metric spaces or topology. Spivak is more like a half calculus/ half analysis book. In my opinion, it is pretty overrated.Here is the book.
It's not something you really want to do for speed...figure first pass over the course of a few months, maybe? Not full time, obviously. You don't want to do it as a block, anyway, you need time to digest & rest. | 677.169 | 1 |
providing learners
with the skills and abilities they need to take an active and responsible role in...
their
communities,
everyday life,
the workplace and
educational settings.
Functional
mathematics requires learners to...
use mathematics in ways that make them effective and
involved as citizens,
operate confidently in life, and
work
...in a wide range of
contexts.
The mathematics standards are...
essentially concerned with developing and recognising
the ability of learners to apply and transfer skills in ways that are appropriate to their
situation.
flexible enough to be interpreted in a variety of circumstances, for example in
workplace settings, by a range of users.
the framework for
assessment, rather than the detail.
For mathematics to be useful, learners must have the skills and confidence to apply,
combine and adapt their mathematical knowledge to new situations in their life and
work. The capacity to identify and understand the role that mathematics plays in the
world is crucial in enabling learners to function as effective citizens. | 677.169 | 1 |
Emne: Clifford algebras. Data processing ; Clifford algebras. Data processing ; Clifford algebras Summary: The author defines "Geometric Algebra Computing" as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, [...]and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geo | 677.169 | 1 |
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.
Top page
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.
Top page
General info
Publisher & Imprint:
Birkhauser Boston Inc
Edition details
1st Reprint of the 1995 Edition ed. 2012. Updated with Epilogues by the Authors | 677.169 | 1 |
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. | 677.169 | 1 |
Linear Algebra with Applications, CourseSmart eTextbook, 5th Edition
Description
Offering the most geometric presentation available, Linear Algebra with Applications, Fifth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. Exercise sets are broad and varied and reflect the author's creativity and passion for this course. This revision reflects careful review and appropriate edits throughout, while preserving the order of topics of the previous edition.
Table of Contents
1. Linear Equations
1.1 Introduction to Linear Systems
1.2 Matrices, Vectors, and Gauss-Jordan Elimination
1.3 On the Solutions of Linear Systems; Matrix Algebra
2. Linear Transformations
2.1 Introduction to Linear Transformations and Their Inverses
2.2 Linear Transformations in Geometry
2.3 Matrix Products
2.4 The Inverse of a Linear Transformation
3. Subspaces of Rn and Their Dimensions
3.1 Image and Kernel of a Linear Transformation
3.2 Subspace of Rn; Bases and Linear Independence
3.3 The Dimension of a Subspace of Rn
3.4 Coordinates
4. Linear Spaces
4.1 Introduction to Linear Spaces
4.2 Linear Transformations and Isomorphisms
4.3 The Matrix of a Linear Transformation
5. Orthogonality and Least Squares
5.1 Orthogonal Projections and Orthonormal Bases
5.2 Gram-Schmidt Process and QR Factorization
5.3 Orthogonal Transformations and Orthogonal Matrices
5.4 Least Squares and Data Fitting
5.5 Inner Product Spaces
6. Determinants
6.1 Introduction to Determinants
6.2 Properties of the Determinant
6.3 Geometrical Interpretations of the Determinant; Cramer's Rule
7. Eigenvalues and Eigenvectors
7.1 Diagonalization
7.2 Finding the Eigenvalues of a Matrix
7.3 Finding the Eigenvectors of a Matrix
7.4 More on Dynamical Systems
7.5 Complex Eigenvalues
7.6 Stability
8. Symmetric Matrices and Quadratic Forms
8.1 Symmetric Matrices
8.2 Quadratic Forms
8.3 Singular Values
9. Linear Differential Equations
9.1 An Introduction to Continuous Dynamical Systems
9.2 The Complex Case: Euler's Formula
9.3 Linear Differential Operators and Linear Differential Equations
Appendix A. Vectors
Appendix B: Techniques of Proof
Answers to Odd-numbered Exercises
Subject Index
Name | 677.169 | 1 |
Discourses On Algebra - 02 edition
Summary: The classic geometry of Euclid has attracted many for its beauty, elegance, and logical cohesion. In this book, the leading Russian algebraist I.R. Shafarevich argues with examples that algebra is no less beautiful, elegant, and logically cohesive than geometry. It contains an exposition of some rudiments of algebra, number theory, set theory and probability presupposing very limited knowledge of mathematics. I.R. Shafarevich is known to be one of the leading mathematicians of the 20...show moreth century, as well as one of the best mathematical writers. TOC:Integers.- Simplest Properties of Polynomials.- Finite Sets.- Prime Numbers.- Real Numbers and Polynomials.- Infinite Sets.- Power Series | 677.169 | 1 |
Book summary
Mathematics Handbook for Science and Engineering is a comprehensive handbook for scientists, engineers, teachers and students at universities. The book presents in a lucid and accessible form classical areas of mathematics like algebra, geometry and analysis and also areas of current interest like discrete mathematics, probability, statistics, optimization and numerical analysis. It concentrates on definitions, results, formulas, graphs and tables and emphasizes concepts and methods with applications in technology and science.For the fifth edition the chapter on Optimization has been enlarged and the chapters on Probability Theory and Statstics have been carefully revised. TOCFundamentals, Discrete Mathematics.- Algebra.- Geometry and Trigometry.- Linear Algebra.- The Elementary Functions.- Differential Calculus One Variable.- Integral Calculus.- Sequences and Series.- Ordinary Differential Equations ODE.- Multidimensional Calculus.- Vector Analysis.- Orthogonal Series and Special Functions.- Transforms.- Complex Analysis.- Optimization.- Numerical Analysis.- Probability Theory.- Statistics.- Miscellaneous.- Glossary of Functions.- Glossary of Symbols. [via] | 677.169 | 1 |
Textbook: Colin Adams and Robert Franzosa,
Introduction to Topology: Pure and
Applied, Prentice Hall. ISBN-13:
978-0131848696. There is a list of corrections and clarifications to the book on-line.
Course Philosophy
Topology is concerned with geometrical properties that are
preserved under continuous deformations of objects. These properties are
determined only by positioning of points with respect to each other and not by
the distances between them (topology's maiden name is Analysis Situs, which means analysis of
place). One of the first problems that could be called topological is the
Euler's Koenigsberg bridges problem. Topology may
become very abstract; in this course the emphasis will be on the geometric and
visual underpinnings of topological concepts and results, and on mathematical
rigor. One of the goals of the course is helping students to refine their capacities of reading
abstract mathematical texts and develop a basic view of topology and its
applicationsHomework: There will be
weekly homework assignments that will be collected and graded. As a rule,
homework assignments will be due on Tuesday.
Tests:
There will be two tests and a final.
Grading:
Homework 35%, Tests 40%, Final 25%
Tentative Course Outline
I expect to cover the core material of the first seven
chapters of the textbook. The really interesting stuff starts after the core chapters;
beyond the basics I plan to discuss one of the three topics listed at the
bottom the list of the key topics:
1.Topological
spaces, bases.
2.Interior,
closure, and boundary.
3.Subspaces,
product spaces, quotient spaces.
4.Continuity
and homeomorphisms.
5.Metric
spaces.
6.Connected
spaces.
7.Compactness
through coverings and limit points; compactifications.
8.Homotopy
and degree of mappings; the Brouwer fixed point
theorem.
9.Knots.
10.Classification
of surfaces (any surface is a spheres with handles), Euler characteristic.
If you have any preferences as to which topics out of the
last three on the list to consider in the course, please email me.
Student Learning Outcomes
This
is a list from the Digital Measures course profile.
-The students will refine their capacities of reading
abstract mathematical texts and develop facilities to write brief mathematical
proofs.
-The students will develop a broad view of basic
topology and of some applications.
-The students will develop understanding of basic
structure and properties of topological spaces.
-The students will learn some fundamental properties
of continuous mappings of topological spaces.
-The students will be exposed to some important
classes of spaces, such as compact and connected ones.
Statement of Academic
Integrity
The Rensselaer Handbook of Student Rights and
Responsibilities define various forms of Academic Dishonesty and you should
make yourself familiar with these. In this class, all assignments that are
turned in for a grade must represent the student's own work. In cases where
help was received, or teamwork was allowed, a notation on the assignment should
indicate your collaboration. Submission of any assignment that is in violation
of this policy may result in a penalty of a grade of F. If you have any
question concerning this policy before submitting an assignment, please ask for
clarification.
Homework Assignments
Assignment #1, due September 7 One of the problems in the first assignment (Problem
1.34) was incorrect in the first printing of the Textbook. I was not aware of
this because in the 2nd printing that I have the error was
corrected. My apologies
Topics for Presentations in
Class:
1.The Alexander Horned Sphere (pp.
339-340 of the textbook)
3.The Ham-Sandwich Theorem
4.Turning the sphere S2
inside-out
Please let me know if you are
interested in giving a presentation (probably about 20-30 minutes long) on any
of these topics or any other topological topic of your choice.
Tests
Test #1 will be given on Friday October 19 in class.
The test will include topics covered by the first five homework assignments.
Namely,
1.Topological
spaces, bases.
2.Interior,
closure, and boundary. Limit points.
3.Subspaces,
product spaces, quotient spaces.
4.Continuity
and homeomorphisms.
5.Metric
spaces.
6.Connected
spaces, not including path connectedness.
Test questions will be similar to the shorter homework
questions from the homework assignments 1-5. You will
be allowed the use of one sheet of hand-written notes.
The advanced grade is determined
by the performance on the homework assignments (65% of the grade) and the test
(35%). The final exam is optional; it will include the material covered by the homework
exercises. | 677.169 | 1 |
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