9780534432775

College Algebra (with CD-ROM, Make the Grade, and InfoTrac)

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  • ISBN13:

    9780534432775

  • ISBN10:

    0534432778

  • Edition: CD
  • Format: Hardcover
  • Copyright: 11/26/2001
  • Publisher: Brooks Cole
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Supplemental Materials

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Table of Contents

0. SOME BASIC CONCEPTS OF ALGEBRA: A REVIEW
Some Basic Ideas
Exponents
Polynomials
Factoring Polynomials
Rational Expressions
Radicals
Relationships Between Exponents and Roots
Complex Numbers
Chapter 0 Summary
Chapter 0 Review Problem Set
Chapter 0 Test
1. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING
Linear Equations and Problem Solving
More Equations and Applications
Quadratic Equations
Applications of Linear and Quadratic Equations
Miscellaneous Equations
Inequalities
Inequalities Involving Quotients and Absolute Value
Chapter 1 Summary
Chapter 1 Review Problem Set
Chapter 1 Test
2. COORDINATE GEOMETRY AND GRAPHING TECHNIQUES
Coordinate Geometry
Graphing Techniques: Linear Equations and Inequalities
Determining the Equation of a Line
More on Graphing
Circles, Ellipses, and Hyperbolas
Chapter 2 Summary
Chapter 2 Review Problem Set
Chapter 2 Test
Cumulative Review Problem Set (Chapters 0-2)
3. FUNCTIONS
Concept of a Function
Linear Functions and Applications
Quadratic Functions
More Quadratic Functions and Applications
Transformations of Some Basic Curves
Combining Functions
Direct and Inverse Variation
Chapter 3 Summary
Chapter 3 Review Problem Set
Chapter 3 Test
Cumulative Review Problem Set (Chapters 0-3)
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponents and Exponential Functions
Applications of Exponential Functions
Inverse Functions
Logarithms
Logarithmic Functions
Exponential and Logarithmic Functions: Problem Solving
Chapter 4 Summary
Chapter 4 Review Problem Set
Chapter 4 Test
Cumulative Review Problem Set (Chapters 0-4)
5. POLYNOMIAL AND RATIONAL FUNCTIONS
Dividing Polynomials
Remainder and Factor Theorems
Polynomial Equations
Graphing Polynomial Functions
Graphing Rational Functions
More on Graphing Rational Functions
Partial Fractions
Chapter 5 Summary
Chapter 5 Review Problem Set
Chapter 5 Test
Cumulative Review Problem Set (Chapters 0-5)
6. SYSTEMS OF EQUATIONS
Systems of Two Linear Equations in Two Variables
Systems of Three Linear Equations in Three Variables
Matrix Approach to Solving Systems
Determinants
Cramer's Rule
Chapter 6 Summary
Chapter 6 Review Problem Set
Chapter 6 Test
Cumulative Review Problem Set (Chapters 0-6)
7. ALGEBRA OF MATRICES
Algebra of 2 × 2 Matrices
Multiplicative Inverses
m × n Matrices
Systems Involving Linear Inequalities: Linear Programming
Chapter 7 Summary
Chapter 7 Review Problem Set
Chapter 7 Test
8. CONIC SECTIONS
Parabolas
Ellipses
Hyperbolas
Systems Involving Nonlinear Equations
Chapter 8 Summary
Chapter 8 Review Problem Set
Chapter 8 Test
Cumulative Review Problem Set (Chapters 0-8)
9. SEQUENCES AND MATHEMATICAL INDUCTION
Arithmetic Sequences
Geometric Sequences
Another Look at Problem Solving
Mathematical Induction
Chapter 9 Summary
Chapter 9 Review Problem Set
Chapter 9 Test
10. COUNTING TECHNIQUES, PROBABILITY, AND THE BINOMIAL THEOREM
Fundamental Principle of Counting
Permutations and Combinations
Probability
Some Properties of Probability and Expected Values
Conditional Probability: Dependent and Independent Events
Binomial Theorem
Chapter 10 Summary
Chapter 10 Review Problem Set
Chapter 10 Test
Appendix A: Common Logarithms
Appendix B: Natural Logarithms
Answers to Odd-Numbered Problems and all Chapter Review, Chapter Test, and Cumulative Review Problems
Answers to Selcted Even-Numbered Problems
Index

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