College Algebra

Contents
Preface
Ch 0: A Review of Basic Algebra
0.1 Sets of Real Numbers
0.1 Exercises
0.2 Integer Exponents and Scientific Notation
0.2 Exercises
0.3 Rational Exponents and Radicals
0.3 Exercises
0.4 Polynomials
0.4 Exercises
0.5 Factoring Polynomials
0.5 Exercises
0.6 Rational Expressions
0.6 Exercises
Chapter Review
Chapter Test
Ch 1: Equations and Inequalities
1.1 Linear Equations and Rational Equations
1.1 Exercises
1.2 Applications of Linear Equations
1.2 Exercises
1.3 Quadratic Equations
1.3 Exercises
1.4 Applications of Quadratic Equations
1.4 Exercises
1.5 Complex Numbers
1.5 Exercises
1.6 Polynomial and Radical Equations
1.6 Exercises
1.7 Inequalities
1.7 Exercises
1.8 Absolute Value
1.8 Exercises
Chapter Review
Chapter Test
Cumulative Review Exercises
Ch 2: The Rectangular Coordinate System and Graphs of Equations
2.1 The Rectangular Coordinate System
2.1 Exercises
2.2 The Slope of a Nonvertical Line
2.2 Exercises
2.3 Writing Equations of Lines
2.3 Exercises
2.4 Graphs of Equations
2.4 Exercises
2.5 Proportion and Variation
2.5 Exercises
Chapter Review
Chapter Test
Ch 3: Functions
3.1 Functions and Function Notation
3.1 Exercises
3.2 Quadratic Functions
3.2 Exercises
3.3 Polynomial and Other Functions
3.3 Exercises
3.4 Transformations of the Graphs of Functions
3.4 Exercises
3.5 Rational Functions
3.5 Exercises
3.6 Operations on Functions
3.6 Exercises
3.7 Inverse Functions
3.7 Exercises
Chapter Review
Chapter Test
Cumulative Review Exercises
Ch 4: Exponential and Logarithmic Functions
4.1 Exponential Functions and Their Graphs
4.1 Exercises
4.2 Applications of Exponential Functions
4.2 Exercises
4.3 Logarithmic Functions and Their Graphs
4.3 Exercises
4.4 Applications of Logarithmic Functions
4.4 Exercises
4.5 Properties of Logarithms
4.5 Exercises
4.6 Exponential and Logarithmic Equations
4.6 Exercises
Chapter Review
Chapter Test
Ch 5: Solving Polynomial Equations
5.1 The Remainder and Factor Theorems; Synthetic Division
5.1 Exercises
5.2 Descartes' Rule of Signs and Bounds on Roots
5.2 Exercises
5.3 Roots of Polynomial Equations
5.3 Exercises
5.4 Approximating Irrational Roots of Polynomial Equations
5.4 Exercises
Chapter Review
Chapter Test
Cumulative Review Exercises
Ch 6: Linear Systems
6.1 Systems of Linear Equations
6.1 Exercises
6.2 Gaussian Elimination and Matrix Methods
6.2 Exercises
6.3 Matrix Algebra
6.3 Exercises
6.4 Matrix Inversion
6.4 Exercises
6.5 Determinants
6.5 Exercises
6.6 Partial Fractions
6.6 Exercises
6.7 Graphs of Inequalities
6.7 Exercises
6.8 Linear Programming
6.8 Exercises
Chapter Review
Chapter Test
Ch 7: Conic Sections and Quadratic Systems
7.1 The Circle and the Parabola
7.1 Exercises
7.2 The Ellipse
7.2 Exercises
7.3 The Hyperbola
7.3 Exercises
7.4 Solving Nonlinear Systems of Equations
7.4 Exercises
Chapter Review
Chapter Test
Cumulative Review Exercises
Ch 8: Sequences, Series, and Probability
8.1 The Binomial Theorem
8.1 Exercises
8.2 Sequences, Series, and Summation Notation
8.2 Exercises
8.3 Arithmetic Sequences and Series
8.3 Exercises
8.4 Geometric Sequences and Series
8.4 Exercises
8.5 Mathematical Induction
8.5 Exercises
8.6 Permutations and Combinations
8.6 Exercises
8.7 Probability
8.7 Exercises
Chapter Review
Chapter Test
Appendix I: A Proof of the Binomial Theorem
Appendix II Tables
Answers to Selected Exercises
Index