College Algebra

Chapter P: Fundamental Concepts of Algebra

• • P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
• • P.2 Exponents and Scientific Notation
• • P.3 Radicals and Rational Exponents
• • P.4 Polynomials
• • Mid-Chapter Check Point
• • P.5 Factoring Polynomials
• • P.6 Rational Expressions
• • Summary, Review, and Test
• • Review Exercises
• • Chapter P Test

Chapter 1: Equations and Inequalities

• • 1.1 Graphs and Graphing Utilities
• • 1.2 Linear Equations and Rational Equations
• • 1.3 Models and Applications
• • 1.4 Complex Numbers
• • 1.5 Quadratic Equations
• • Mid-Chapter Check Point
• • 1.6 Other Types of Equations
• • 1.7 Linear Inequalities and Absolute Value Inequalities
• • Summary, Review, and Test
• • Review Exercises
• • Chapter 1 Test

Chapter 2: Functions and Graphs

• • 2.1 Basics of Functions and Their Graphs
• • 2.2 More on Functions and Their Graphs
• • 2.3 Linear Functions and Slope
• • 2.4 More on Slope
• • Mid-Chapter Check Point
• • 2.5 Transformations of Functions
• • 2.6 Combinations of Functions; Composite Functions
• • 2.7 Inverse Functions
• • 2.8 Distance and Midpoint Formulas; Circles
• • Summary, Review, and Test
• • Review Exercises
• • Chapter 2 Test
• • Cumulative Review Exercises Chapters 1 - 2

Chapter 3: Polynomial and Rational Functions

• • 3.1 Quadratic Functions
• • 3.2 Polynomial Functions and Their Graphs
• • 3.3 Dividing Polynomials; Remainder and Factor Theorems
• • 3.4 Zeros of Polynomial Functions
• • Mid-Chapter Check Point
• • 3.5 Rational Functions and Their Graphs
• • 3.6 Polynomial and Rational Inequalities
• • 3.7 Modeling Using Variation
• • Summary, Review, and Test
• • Review Exercises
• • Chapter 3 Test
• • Cumulative Review Exercises Chapters 1 - 3

Chapter 4: Exponential and Logarithmic Functions

• • 4.1 Exponential Functions
• • 4.2 Logarithmic Functions
• • 4.3 Properties of Logarithms
• • Mid-Chapter Check Point
• • 4.4 Exponential and Logarithmic Equations
• • 4.5 Exponential Growth and Decay; Modeling Data
• • Summary, Review, and Test
• • Review Exercises
• • Chapter 4 Test
• • Cumulative Review Exercises Chapters 1 - 4

Chapter 5: Systems of Equations and Inequalities

• • 5.1 Systems of Linear Equations in Two Variables
• • 5.2 Systems of Linear Equations in Three Variables
• • 5.3 Partial Fractions
• • 5.4 Systems of Nonlinear Equations in Two Variables
• • Mid-Chapter Check Point
• • 5.5 Systems of Inequalities
• • 5.6 Linear Programming
• • Summary, Review, and Test
• • Review Exercises
• • Chapter 5 Test
• • Cumulative Review Chapters 1 - 5

Chapter 6: Matrices and Determinants

• • 6.1 Matrix Solutions to Linear Systems
• • 6.2 Inconsistent and Dependent Systems and Their Applications
• • 6.3 Matrix Operations and Their Applications
• • Mid-Chapter Check Point
• • 6.4 Multiplicative Inverses of Matrices and Matrix Equations
• • 6.5 Determinants and Cramer's Rule
• • Summary, Review, and Test
• • Review Exercises
• • Chapter 6 Test
• • Cumulative Review Chapters 1 - 6

Chapter 7: Conic Sections

• • 7.1 The Ellipse
• • 7.2 The Hyperbola
• • Mid-Chapter Check Point
• • 7.3 The Parabola
• • Summary, Review, and Test
• • Review Exercises
• • Chapter 7 Test
• • Cumulative Review Chapters 1 - 7

Chapter 8: Sequences, Induction, and Probability

• • 8.1 Sequences and Summation Notation
• • 8.2 Arithmetic Sequences
• • 8.3 Geometric Sequences and Series
• • Mid-Chapter Check Point
• • 8.4 Mathematical Induction
• • 8.5 The Binomial Theorem
• • 8.6 Counting Principles, Permutations, and Combinations
• • 8.7 Probability
• • Summary, Review, and Test
• • Review Exercises
• • Chapter 8 Test
• • Cumulative Review Chapters 1-8

Chapter Appendix: Appendix

• • Where Did That Come From? Selected Proofs