9780534400682

College Algebra (with CD-ROM, BCA/iLrn Tutorial, and InfoTrac)

by ;
  • ISBN13:

    9780534400682

  • ISBN10:

    053440068X

  • Edition: 8th
  • Format: Hardcover
  • Copyright: 6/30/2003
  • Publisher: Brooks Cole
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Supplemental Materials

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  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
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Summary

Clearly written and comprehensive, the eighth edition of Gustafson's popular book provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. David Gustafson combines carefully selected pedagogical features and patient explanation to give students a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help students quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life.

Table of Contents

Contents
0. A REVIEW OF BASIC ALGEBRA
Sets of Real Numbers
Integer Exponents and Scientific Notation
Rational Exponents and Radicals
Polynomials
Factoring Polynomials
Algebraic Fractions
1. EQUATIONS AND INEQUALITIES
Equations
Applications of Linear Equations
Quadratic Equations
Applications of Quadratic Equations
Complex Numbers
Polyomial and Radical Equations
Inequalities
Absolute Value
2. THE RECTANGULAR COORDINATE SYSTEM AND GRAPHS OF EQUATIONS
The Rectangular Coordinate System
The Slope of a Nonvertical Line
Writing Equations of Lines
Graphs of Equations
Proportion and Variation
3. FUNCTIONS
Functions and Function Notation
Quadratic Functions
Polynomial and Other Functions
Translating and Stretching Graphs
Rational Functions
Operations on Functions
Inverse Functions
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponential Functions and Their Graphs
Applications of Exponential Functions
Logarithmic Functions and Their Graphs
Applications of Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
5. SOLVING POLYNOMIAL EQUATIONS
The Remainder and Factor Theorems; Synthetic Division
Descartes' Rule of Signs and Bounds on Roots
Rational Roots of Polynomial Equations
Irrational Roots of Polynomial Equations
6. LINEAR SYSTEMS
Systems of Linear Equations
Gaussian Eliminations and Matrix Methods
Matrix Algebra
Matrix Inversion
Determinants
Partial Fractions
Graphs of Linear Inequalities
Linear Programming
7. CONIC SECTIONS AND QUADRATIC SYSTEMS
The Circle and the Parabola
The Ellipse
The Hyperbola
Solving Simultaneous Second-Degree Equations
8. NATURAL NUMBER FUNCTIONS AND PROBABILITY
The Binomial Theorem
Sequences, Series, and Summation Notation
Arithmetic Sequences
Geometric Sequences
Mathematical Induction
Permutations and Combinations
Probability
Computation of Compound Probabilities
Odds and Mathematical Expectation
9. THE MATHEMATICS OF FINANCE
Compound Interest
Annuities and Future Value
Present Value of an Annuity; Amortization
Appendix 1: A Proof of the Binomial Theorem
Appendix 2: Tables
Table A
Powers and Roots
Table B
Base-10 Logarithms
Table C
Base-e Logarithms
Appendix 3: Answers to Selected Exercises
Index
Index of Applications

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