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| Preliminary Contents | |
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| Algebraic Concepts | |
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| Sets | |
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| The Real Numbers | |
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| Integral Exponents | |
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| Radicals and Rational Exponents | |
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| Operations with Algebraic Expressions | |
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| Factoring | |
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| Algebraic Fractions | |
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| Linear Equations and Functions | |
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| Solution of Linear Equations and Inequalities in one Variable | |
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| Functions | |
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| Linear Functions | |
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| Graphs and Graphing Utilities | |
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| Solutions of Systems of Linear Equations | |
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| Applications of Functions in Business and Economics | |
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| Special Functions | |
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| Quadratic Equations | |
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| Quadratic Functions: Parabolas | |
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| Business Applications of Quadratic Functions | |
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| Special Functions and Their Graphs | |
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| Modeling; Fitting Curves to Data with Graphing Utilities | |
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| Matrices | |
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| Matrices | |
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| Multiplication of Matrices | |
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| Gauss-Jordan Elimination: Solving Systems of Equations | |
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| Inverse of a Square Matrix; Matrix Equations | |
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| Applications of Matrices: Leontief Input-Output Models | |
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| Inequalities and Linear Programming | |
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| Linear Inequalities in Two Variables | |
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| Linear Programming: Graphical Methods | |
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| The Simplex Method: Maximization | |
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| The Simplex Method: Duality and Minimization | |
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| The Simplex Method with Mixed Constraints | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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| Logarithmic Functions and Their Properties | |
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| Solution of Exponential Equations: Applications of Exponential and Logarithmic Functions | |
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| Mathematics of Finance | |
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| Simple Interest; Sequences | |
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| Compound Interest; Geometric Sequences | |
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| Future Value of Annuities | |
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| Present Value of Annuities | |
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| Loans and Amortization | |
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| Introduction to Probability | |
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| Probability: Odds | |
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| Unions and Intersections of Events: One-Trial Experiments | |
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| Conditional Probability: The Product Rule | |
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| Probability Trees and Bayes' Formula | |
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| Counting: Permutations and Combinations | |
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| Permutations, Combinations, and Probability | |
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| Markov Chains | |
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| Further Topics in Probability: Data Description | |
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| Binomial Probability Experiments | |
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| Data Description | |
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| Discrete Probability Distributions | |
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| Normal Probability Distribution | |
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| Derivatives | |
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| Limits | |
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| Continuous Functions; Limits at Infinity | |
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| Average and Instantaneous Rates of Change: The Derivative | |
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| Derivative Formulas | |
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| The Product Rule and the Quotient Rule | |
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| The Chain Rule and the Power Rule | |
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| Using Derivative Formulas | |
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| Higher-Order Derivatives | |
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| Applications of Derivatives in Business and Economics | |
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| Applications of Derivatives | |
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| Relative Maxima and Minima: Curve Sketching | |
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| Concavity: Points of Inflection | |
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| Optimization in Business and Economics | |
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| Applications of Maxima and Minima | |
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| Asymptotes: More Curve Sketching | |
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| Derivatives Continued | |
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| Derivatives of Logarithmic Functions | |
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| Derivatives of Exponential Functions | |
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| Implicit Differentiation | |
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| Related Rates | |
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| Applications in Business and Economics | |
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| Indefinite Integrals | |
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| The Indefinite Integral | |
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| The Power Rule | |
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| Integrals Involving Exponential and Logarithmic Functions | |
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| Applications of the Indefinite Integral in Business and Economics | |
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| Differential Equations | |
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| Definite Integrals: Techniques of Integration | |
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| Area Under a Curve | |
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| The Definite Integral: The Fundamental Theorem of Calculus | |
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| Area Between Two Curves | |
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| Applications of Definite Integrals in Business and Economics | |
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| Using Tables of Integrals | |
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| Integration by Parts | |
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| Improper Integrals and Their Applications | |
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| Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule | |
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| Functions of Two or More Variables | |
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| Functions of Two or more Variables | |
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| Partial Differentiation | |
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| Applications of Functions of Two Variables in Business and Economics | |
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| Maxima and Minima | |
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| Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers | |