| Each chapter concludes with a Review and a Mathematical Snapshot |
| Chapter 0 Algebra Review |
| 0.1 Sets of Real Numbers |
| 0.2 Some Properties of Real Numbers |
| 0.3 Exponents and Radicals |
| 0.4 Operations with Algebraic Expressions |
| 0.5 Factoring |
| 0.6 Fractions |
| 0.7 Linear Equations |
| 0.8 Quadratic Equations Mathematical Snapshot |
| Chapter 1 Applications of Equations and Inequalities |
| 1.1 Applications of Equations |
| 1.2 Linear Inequalities |
| 1.3 Applications of Inequalities |
| 1.4 Absolute Value |
| Chapter 2 Functions and Graphs |
| 2.1 Functions |
| 2.2 Special Functions |
| 2.3 Combinations of Functions |
| 2.4 Inverse Functions |
| 2.5 Graphs in Rectangular Coordinates |
| 2.6 Symmetry |
| 2.7 Translations and Reflection |
| Chapter 3 Lines, Parabolas, and Systems |
| 3.1 Lines |
| 3.2 Applications and Linear Functions |
| 3.3 Quadratic Functions |
| 3.4 Systems of Linear Equations |
| 3.5 Nonlinear Systems |
| 3.6 Applications of Systems of Equations |
| Chapter 4 Exponential and Logarithmic Functions |
| 4.1 Exponential Functions |
| 4.2 Logarithmic Functions |
| 4.3 Properties of Logarithms |
| 4.4 Logarithmic and Exponential Equations |
| Chapter 5 Mathematics of Finance |
| 5.1 Compound Interest |
| 5.2 Present Value |
| 5.3 Annuities |
| 5.4 Amortization of Loans |
| Chapter 6 Matrix Algebra |
| 6.1 Matrices |
| 6.2 Matrix Addition and Scalar Multiplication |
| 6.3 Matrix Multiplication |
| 6.4 Solving Systems by Reducing Matrices |
| 6.5 Method of Reduction (continued) |
| 6.6 Inverses |
| 6.6 Leontief's Input-Output Analysis |
| Chapter 7 Linear Programming |
| 7.1 Linear Inequalities in Two Variables |
| 7.2 Linear Programming |
| 7.3 Multiple Optimum Solutions |
| 7.4 The Simplex Method |
| 7.5 Degeneracy, Unbounded Solutions, and Multiple Optimum Solutions |
| 7.6 Artificial Variables |
| 7.7 Minimization |
| 7.8 The Dual |
| Chapter 8 Introduction to Probability |
| 8.1 Basic Counting Principle and Permutations |
| 8.2 Combinations and Other Counting Principles |
| 8.3 Sample Spaces and Events |
| 8.4 Probability |
| 8.5 Conditional Probability and Stochastic Processes |
| 8.6 Independent Events |
| 8.7 Bayes' Formula |
| Chapter 9 Additional Topics in Probability |
| 9.1 Discrete Random Variables |
| 9.2 The Binomial Distribution |
| 9.3 Markov Chains |
| Chapter 10 Limits and Continuity |
| 10.1 Limits |
| 10.2 Limits (Continued) |
| 10.3 Interest Compounded Continuously |
| 10.4 Continuity |
| 10.5 Continuity Applied to Inequalities |
| Chapter 11 Differentiation |
| 11.1 The Derivative |
| 11.2 Rules for Differentiation |
| 11.3 The Derivative as a Rate of Change |
| 11.4 Differentiability and Continuity |
| 11.5 Product and Quotient Rules |
| 11.6 The Chain Rule and the Power Rule |
| Chapter 12 Additional Differentiation Topics |
| 12.1 Derivatives of Logarithmic Functions |
| 12.2 Derivatives of Exponential Functions |
| 12.3 Elasticity of Demand |
| 12.4 Implicit Differentiation |
| 12.5 Logarithmic Differentiation |
| 12.6 Newton's Method |
| 12.7 Higher Order Derivatives |
| Chapter 13 Curve Sketching |
| 13.1 Relative Extrema |
| 13.2 Absolute Extrema on a Closed Interval |
| 13.3 Concavity |
| 13.4 The Second Derivative Test |
| 13.5 Asymptotes |
| 13.6 Applied Maxima and Minima |
| Chapter 14 Integration |
| 14.1 Differentials |
| 14.2 The Indefinite Integral |
| 14.3 Integration with Initial Conditions |
| 14.4 Some Integration Formulas |
| 14.5 Techniques of Integration |
| 14.6 Summation |
| 14.7 The Definite |
