Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

Prentice Hall

Chapter 1. A Beginning Library of Elementary Functions

Section 1 . FunctionsChapter 2. Additional Elementary Functions

Section 2 . Elementary Functions: Graphs and Transformations

Section 3 . Linear Functions and Straight Lines

Section 4 . Quadratic Functions

Section 1 . Polynomial and Rational FunctionsChapter 3. Mathematics of Finance

Section 2 . Exponential Functions

Section 3 . Logarithmic Functions

Section 1 . Simple InterestChapter 4. Systems of Linear Equations; Matrices

Section 2 . Compound Interest

Section 3 . Future Value of an Annuity; Sinking Funds

Section 4 . Present Value of an Annuity; Amortization

Section 1 . Review: Systems of Linear Equations in Two VariablesChapter 5. Linear Inequalities and Linear Programming

Section 2 . Systems of Linear Equations and Augmented Matrices

Section 3 . Gauss-Jordan Elimination

Section 4 . Matrices: Basic Operations

Section 5 . Inverse of a Square Matrix

Section 6 . Matrix Equations and Systems of Linear Equations

Section 7 . Leontief Input-Output Analysis

Section 1 . Systems of Linear Inequalities in Two VariablesChapter 6. Logic, Sets, and Counting

Section 2 . Linear Programming in Two Dimensions—A Geometric Approach

Section 3 . A Geometric Introduction to the Simplex Method

Section 4 . The Simplex Method: Maximization with Problem Constraints of the Form =

Section 5 . The Dual; Minimization with Problem Constraints of the Form =

Section 6 . Maximization and Minimization with Mixed Problem Constraints

Section 1 . LogicChapter 7. Probability

Section 2 . Sets

Section 3 . Basic Counting Principles

Section 4 . Permutations and Combinations

Section 1 . Sample Spaces, Events, and ProbabilityChapter 8. Markov Chains

Section 2 . Union, Intersection, and Complement of Events; Odds

Section 3 . Conditional Probability, Intersection, and Independence

Section 4 . Bayes' Formula

Section 5 . Random Variable, Probability Distribution, and Expected Value

Section 1 . Properties of Markov ChainsChapter 9. The Derivative

Section 2 . Regular Markov Chains

Section 3 . Absorbing Markov Chains

Section 1 . Introduction to LimitsChapter 10. Graphing and Optimization

Section 2 . Limits and Continuity

Section 3 . The Derivative

Section 4 . Derivative of Constants, Power Forms, and Sums

Section 5 . Derivatives of Products and Quotients

Section 6 . Chain Rule: Power Form

Section 7 . Marginal Analysis in Business and Economics

Section 1 . First Derivative and GraphsChapter 11. Additional Derivative Topics

Section 2 . Second Derivative and Graphs

Section 3 . Curve Sketching Techniques; Unified and Extended

Section 4 . Absolute Maxima and Minima

Section 5 . Optimization

Section 1 . The Constant e and Continuous Compound InterestChapter 12. Integration

Section 2 . Derivatives of Exponential Functions

Section 3 . Derivatives of Logarithmic Functions

Section 4 . Chain Rule: General Form

Section 5 . Implicit Differentiation

Section 6 . Related Rates

Section 1 . Antiderivatives and Indefinite IntegralsChapter 13. Additional Integration Topics

Section 2 . Integration by Substitution

Section 3 . Differential Equations; Growth and Decay

Section 4 . The Definite Integral

Section 5 . The Fundamental Theorem of Calculus

Section 1 . Area Between CurvesChapter 14. Multivariable Calculus

Section 2 . Applications in Business and Economics

Section 3 . Integration by Parts

Section 4 . Integration Using Tables

Section 1 . Functions of Several Variables

Section 2 . Partial Derivatives

Section 3 . Maxima and Minima

Section 4 . Maxima and Minima Using Lagrange Multipliers

Section 5 . Method of Least Squares

Section 6 . Double Integrals Over Rectangular Regions