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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