College Algebra 2e
Chapter R: Review of Prerequisites
Section R.1 Sets and the Real Number Line
Section R.2 Integer Exponents and Scientific Notation
Section R.3 Rational Exponents and Radicals
Section R.4 Polynomials and Multiplication of Radicals
Problem Recognition Exercises: Simplifying Algebraic Expressions
Section R.5 Factoring
Section R.6 Rational Expressions and More Operations on Radicals
Algebra for Calculus
Chapter 1: Equations and Inequalities
Section 1.1 Linear Equations and Rational Equations
Section 1.2 Applications with Linear and Rational Equations
Section 1.3 Complex Numbers
Section 1.4 Quadratic Equations
Problem Recognition Exercises: Simplifying Expressions Versus Solving Equations
Section 1.5 Applications of Quadratic Equations
Section 1.6 More Equations and Applications
Section 1.7 Linear, Compound, and Absolute Value Inequalities
Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities
Equations and Inequalities for Calculus
Chapter 2: Functions and Relations
Section 2.1 The Rectangular Coordinate System and Graphing Utilities
Section 2.2 Circles
Section 2.3 Functions and Relations
Section 2.4 Linear Equations in Two Variables and Linear Functions
Section 2.5 Applications of Linear Equations and Modeling
Problem Recognition Exercises: Comparing Graphs of Equations
Section 2.6 Transformations of Graphs
Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions
Section 2.8 Algebra of Functions and Function Composition
Chapter 3: Polynomial and Rational Functions
Section 3.1 Quadratic Functions and Applications
Section 3.2 Introduction to Polynomial Functions
Section 3.3 Division of Polynomials and the Remainder and Factor TheoremsSection 3.4 Zeros of PolynomialsSection 3.5 Rational Functions
Problem Recognition Exercises: Polynomial and Rational Functions
Section 3.6 Polynomial and Rational Inequalities
Problem Recognition Exercises: Solving Equations and Inequalities
Section 3.7 Variation
Chapter 4: Exponential and Logarithmic FunctionsSection 4.1 Inverse FunctionsSection 4.2 Exponential FunctionsSection 4.3 Logarithmic Functions
Problem Recognition Exercises: Analyzing Functions
Section 4.4 Properties of LogarithmsSection 4.5 Exponential and Logarithmic Equations and Applications
Section 4.6 Modeling with Exponential and Logarithmic FunctionsChapter 5: Systems of Equations and InequalitiesSection 5.1 Systems of Linear Equations in Two Variables and ApplicationsSection 5.2 Systems of Linear Equations in Three Variables and ApplicationsSection 5.3 Partial Fraction DecompositionSection 5.4 Systems of Nonlinear Equations in Two VariablesSection 5.5 Inequalities and Systems of Inequalities in Two Variables
Problem Recognition Exercises: Equations and Inequalities in Two Variables
Section 5.6 Linear ProgrammingChapter 6: Matrices and Determinants and ApplicationsSection 6.1 Solving Systems of Linear Equations Using MatricesSection 6.2 Inconsistent Systems and Dependent EquationsSection 6.3 Operations on MatricesSection 6.4 Inverse Matrices and Matrix EquationsSection 6.5 Determinants and Cramer's Rule
Problem Recognition Exercises: Using Multiple Methods to Solve Systems of Linear Equations
Chapter 7: Analytic GeometrySection 7.1 The EllipseSection 7.2 The HyperbolaSection 7.3 The Parabola
Problem Recognition Exercises: Comparing Equations of Conic Sections and the General Equation
Chapter 8: Sequences, Series, Induction, and ProbabilitySection 8.1 Sequences and SeriesSection 8.2 Arithmetic Sequences and SeriesSection 8.3 Geometric Sequences and Series
Problem Recognition Exercises: Comparing Arithmetic and Geometric Sequences and Series
Section 8.4 Mathematical InductionSection 8.5 The Binomial TheoremSection 8.6 Principles of CountingSection 8.7 Introduction to ProbabilityAppendix A: Additional Topics Appendix (Online only)
