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Applied College Algebra : A Graphing Approach / With CD-ROM

Applied College Algebra : A Graphing Approach / With CD-ROM - 00 edition

ISBN13: 978-0534436827

Cover of Applied College Algebra : A Graphing Approach / With CD-ROM 00 (ISBN 978-0534436827)
ISBN13: 978-0534436827
ISBN10: 053443682X
Cover type:
Edition/Copyright: 00
Publisher: Saunders College Division
Published: 2000
International: No

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Applied College Algebra : A Graphing Approach / With CD-ROM - 00 edition

ISBN13: 978-0534436827

Gareth Williams

ISBN13: 978-0534436827
ISBN10: 053443682X
Cover type:
Edition/Copyright: 00
Publisher: Saunders College Division

Published: 2000
International: No
Summary

Williams offers a refreshing and innovative approach to college algebra, motivating the topics with a variety of applications and thoroughly integrating the graphing calculator. Written in a clear and friendly voice that speaks to students with weak algebra skills, this text teaches students to look at math from both algebraic and geometric viewpoints. Williams focuses on the underlying concepts, introducing and using the graphing calculator as an integral means, not an end. New applications examples and exercises from a variety of fields motivate the key ideas and show students why math is useful and powerful.

Packaged free with every new copy of the text, an ELECTRONIC COMPANION TO COLLEGE ALGEBRA CD-ROM is a dynamic and interactive college algebra tutorial. It covers key concepts through multiple representations: graphic, numerical, algebraic, and verbal. "Review Topics" boxes present the main ideas of the course and "Test Yourself" problems test student understanding. A workbook of additional examples and exercises is built into the CD-ROM.

Table of Contents

REVIEW OF BASIC ALGEBRA.

Real Numbers and their Properties. Rational Exponents, Scientific Notation, and Doses of Medicine. Polynomials. Factoring. Rational Expressions. Equations, Variation, Scuba Diving, and Fermat's Last Theorem. Functions, Tables, and Skeleton Sizes. Chapter Project: Space-Time Travel. Highlights. Review Exercises. Test.

1. INTERPLAY BETWEEN ALGEBRA AND GEOMETRY.

Coordinate Systems and Graphs. Lines, Least Squares Fit, and the Year 2000 Problem. Linear Functions, Reservoir Monitoring, and Cost-Volume Analysis. Parabolas and Quadratic Equations. Quadratic Functions, Learning German, and Fluid Flow. Distances, Circles, and Typesetting. Chapter Project: Real and Subjective Times.

2. SOLVING EQUATIONS AND INEQUALITIES.

Quadratic Equations. Applications of Quadratic Equations including Motion and Architecture. Further Types of Equations. Inequalities, Temperature Range of a Computer, and Spread of a Disease. Equations and Inequalities with Absolute Values. Chapter Project: Algorithms for Finding Roots and Solving Equations.

3. FURTHER DEVELOPMENT OF FUNCTIONS.

Polynomial Functions. Construction of Functions, Optimization, and Drug Administration. Special Functions, Symmetry, and Consumer Awareness. Shifting and Stretching Graphs, Supply and Demand for Wheat. Rational Functions. Operations on Functions and an Introduction to the Field of Chaos. Inverse Functions, One-to-One, and Cryptography. Chapter Project: Recalling Ability.

4. FURTHER THEORY OF POLYNOMIALS.

Synthetic Division, Zeros, and Factors. Complex Numbers and the Mandelbrot Set. Complex Zeros, Factors, and the Fundamental Theorem of Algebra. Computing Zeros of Polynomials. Chapter Project: Julia Sets.

5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Exponential Functions and the Growth of E. coli. The Natural Exponential Function. Solving Exponential Equations. Logarithmic Functions and Seismography. Properties of Logarithms. Solving Logarithmic Equations. Exponential Regression and Intravenous Drug Administration. Chapter Project: World Population on the Internet.

6. SYSTEMS OF EQUATIONS AND INEQUALITIES.

Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Gauss-Jordan Elimination and Electrical Networks. Systems of Nonlinear Equations. Systems of Linear Inequalities. Linear Programming and Optimal Use of Resources. Chapter Project: Linear Programming.

7. MATRICES.

Matrices and Group Relationships in Sociology. Multiplication of Matrices and Population Movements. The Inverse of a Matrix and the Interdependence of Industries . Determinants and Cramer's Rule. Symmetric Matrices and Archaeology. Chapter Project: Influence within a Group.

8. SEQUENCES AND SERIES

Sequences and Series. Arithmetic Sequences. Geometric Sequences, Count of Bacteria, and the Flaw in the Pentium Chip. Mathematical Induction. The Binomial Theorem. Chapter Project: E-mail Messages.

9. PERMUTATIONS, COMBINATIONS, AND PROBABILITY.

Permutations and Combinations. Probability and Blood Groups. Chapter Project: Traffic Flow.

APPENDIX: CONIC SECTIONS.

Parabolas, Ellipses, Hyperbolas, General Forms.

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