Preliminary Contents | |

Algebraic Concepts | |

Sets | |

The Real Numbers | |

Integral Exponents | |

Radicals and Rational Exponents | |

Operations with Algebraic Expressions | |

Factoring | |

Algebraic Fractions | |

Linear Equations and Functions | |

Solution of Linear Equations and Inequalities in one Variable | |

Functions | |

Linear Functions | |

Graphs and Graphing Utilities | |

Solutions of Systems of Linear Equations | |

Applications of Functions in Business and Economics | |

Special Functions | |

Quadratic Equations | |

Quadratic Functions: Parabolas | |

Business Applications of Quadratic Functions | |

Special Functions and Their Graphs | |

Modeling; Fitting Curves to Data with Graphing Utilities | |

Matrices | |

Matrices | |

Multiplication of Matrices | |

Gauss-Jordan Elimination: Solving Systems of Equations | |

Inverse of a Square Matrix; Matrix Equations | |

Applications of Matrices: Leontief Input-Output Models | |

Inequalities and Linear Programming | |

Linear Inequalities in Two Variables | |

Linear Programming: Graphical Methods | |

The Simplex Method: Maximization | |

The Simplex Method: Duality and Minimization | |

The Simplex Method with Mixed Constraints | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Logarithmic Functions and Their Properties | |

Solution of Exponential Equations: Applications of Exponential and Logarithmic Functions | |

Mathematics of Finance | |

Simple Interest; Sequences | |

Compound Interest; Geometric Sequences | |

Future Value of Annuities | |

Present Value of Annuities | |

Loans and Amortization | |

Introduction to Probability | |

Probability: Odds | |

Unions and Intersections of Events: One-Trial Experiments | |

Conditional Probability: The Product Rule | |

Probability Trees and Bayes' Formula | |

Counting: Permutations and Combinations | |

Permutations, Combinations, and Probability | |

Markov Chains | |

Further Topics in Probability: Data Description | |

Binomial Probability Experiments | |

Data Description | |

Discrete Probability Distributions | |

Normal Probability Distribution | |

Derivatives | |

Limits | |

Continuous Functions; Limits at Infinity | |

Average and Instantaneous Rates of Change: The Derivative | |

Derivative Formulas | |

The Product Rule and the Quotient Rule | |

The Chain Rule and the Power Rule | |

Using Derivative Formulas | |

Higher-Order Derivatives | |

Applications of Derivatives in Business and Economics | |

Applications of Derivatives | |

Relative Maxima and Minima: Curve Sketching | |

Concavity: Points of Inflection | |

Optimization in Business and Economics | |

Applications of Maxima and Minima | |

Asymptotes: More Curve Sketching | |

Derivatives Continued | |

Derivatives of Logarithmic Functions | |

Derivatives of Exponential Functions | |

Implicit Differentiation | |

Related Rates | |

Applications in Business and Economics | |

Indefinite Integrals | |

The Indefinite Integral | |

The Power Rule | |

Integrals Involving Exponential and Logarithmic Functions | |

Applications of the Indefinite Integral in Business and Economics | |

Differential Equations | |

Definite Integrals: Techniques of Integration | |

Area Under a Curve | |

The Definite Integral: The Fundamental Theorem of Calculus | |

Area Between Two Curves | |

Applications of Definite Integrals in Business and Economics | |

Using Tables of Integrals | |

Integration by Parts | |

Improper Integrals and Their Applications | |

Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule | |

Functions of Two or More Variables | |

Functions of Two or more Variables | |

Partial Differentiation | |

Applications of Functions of Two Variables in Business and Economics | |

Maxima and Minima | |

Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers | |

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