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Straight Lines and Linear Functions | |
The Cartesian Coordinate System | |
Straight Lines | |
Linear Functions and Mathematical Models | |
Intersection of Straight Lines | |
The Method of Least Squares | |
Systems of Linear Equations and Matrices | |
Systems of Linear Equations: An Introduction | |
Systems of Linear Equations: Unique Solutions | |
Systems of Linear Equations: Underdetermined and Overdetermined Systems | |
Matrices | |
Multiplication of Matrices | |
The Inverse of a Square Matrix | |
Leontief Input-Output Model | |
Linear Programming: A Geometric Approach | |
Graphing Systems of Linear Inequalities in Two Variables | |
Linear Programming Problems | |
Graphical Solution of Linear Programming Problems | |
Sensitivity Analysis | |
Linear Programming: An Algebraic Approach | |
The Simplex Method: Standard Maximization Problems | |
The Simplex Method: Standard Minimization Problems | |
The Simplex Method: Nonstandard Problems | |
Mathematics of Finance | |
Compound Interest | |
Annuities | |
Amortization and Sinking Funds | |
Arithmetic and Geometric Progressions | |
Sets and Counting | |
Sets and Set Operations | |
The Number of Elements in a Finite Set | |
The Multiplication Principle | |
Permutations and Combinations | |
Probability | |
Experiments, Sample Spaces, and Events | |
Definition of Probability | |
Rules of Probability | |
Use of Counting Techniques in Probability | |
Conditional Probability and Independent Events | |
Bayes' Theorem | |
Probability Distributions and Statistics | |
Distributions of Random Variables | |
Expected Value | |
Variance and Standard Deviation | |
The Binomial Distribution | |
The Normal Distribution | |
Applications of the Normal Distribution | |
Markov Chains and the Theory Of Games | |
Markov Chains | |
Regular Markov Chains | |
Absorbing Markov Chains | |
Precalculus Review | |
Exponents and Radicals | |
Algebraic Expressions | |
Algebraic Fractions | |
Inequalities and Absolute Values | |
Functions, Limits, and the Derivative | |
Functions and Their Graphs | |
The Algebra of Functions | |
Functions and Mathematical Models | |
Limits | |
One-Sided Limits and Continuity | |
Derivative | |
Differentiation | |
Basic Rules of Differentiation | |
The Product and Quotient Rules | |
The Chain Rule | |
Marginal Functions in Economics | |
Higher-Order Derivatives | |
Implicit Differentiation and Related Rates | |
Differentials | |
Applications of the Derivative | |
Applications of the First Derivative | |
Applications of the Second Derivative | |
Curve Sketching | |
Optimization I | |
Optimization II | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Logarithmic Functions | |
Differentiation of Exponential Functions | |
Differentiation of Logarithmic Functions | |
Exponential Functions as Mathematical Models | |
Integration | |
Antiderivatives and the Rules of Integration | |
Integration by Substitution | |
Area and the Definite Integral | |
The Fundamental Theorem of Calculus | |
Evaluating Definite Integrals | |
Area Between Two Curves | |
Applications of the Definite Integral to Business and Economics | |
Additional Topics in Integration | |
Integration by Parts | |
Integration Using Tables of Integrals | |
Numerical Integration | |
Improper Integrals | |
Applications of Calculus to Probability | |
Calculus of Several Variables | |
Functions of Several Variables | |
Partial Derivatives | |
Maxima and Minima of Functions of Several Variables | |
The Method of Least Squares | |
Constrained Maxima and Minima and the Method of Lagrange Multipliers | |
Double Integrals | |
The System of Real Numbers | |
Tables | |
Answers to Odd-Numbered Exercises | |
Index | |
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