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Straight Lines and Linear Functions | |

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The Cartesian Coordinate System | |

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Straight Lines | |

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Linear Functions and Mathematical Models | |

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Intersection of Straight Lines | |

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The Method of Least Squares | |

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Systems of Linear Equations and Matrices | |

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Systems of Linear Equations: An Introduction | |

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Systems of Linear Equations: Unique Solutions | |

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Systems of Linear Equations: Underdetermined and Overdetermined Systems | |

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Matrices | |

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Multiplication of Matrices | |

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The Inverse of a Square Matrix | |

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Leontief Input-Output Model | |

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Linear Programming: A Geometric Approach | |

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Graphing Systems of Linear Inequalities in Two Variables | |

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Linear Programming Problems | |

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Graphical Solution of Linear Programming Problems | |

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Sensitivity Analysis | |

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Linear Programming: An Algebraic Approach | |

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The Simplex Method: Standard Maximization Problems | |

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The Simplex Method: Standard Minimization Problems | |

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The Simplex Method: Nonstandard Problems | |

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Mathematics of Finance | |

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Compound Interest | |

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Annuities | |

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Amortization and Sinking Funds | |

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Arithmetic and Geometric Progressions | |

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Sets and Counting | |

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Sets and Set Operations | |

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The Number of Elements in a Finite Set | |

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The Multiplication Principle | |

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Permutations and Combinations | |

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Probability | |

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Experiments, Sample Spaces, and Events | |

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Definition of Probability | |

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Rules of Probability | |

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Use of Counting Techniques in Probability | |

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Conditional Probability and Independent Events | |

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Bayes' Theorem | |

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Probability Distributions and Statistics | |

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Distributions of Random Variables | |

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Expected Value | |

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Variance and Standard Deviation | |

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The Binomial Distribution | |

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The Normal Distribution | |

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Applications of the Normal Distribution | |

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Markov Chains and the Theory Of Games | |

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Markov Chains | |

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Regular Markov Chains | |

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Absorbing Markov Chains | |

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Precalculus Review | |

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Exponents and Radicals | |

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Algebraic Expressions | |

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Algebraic Fractions | |

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Inequalities and Absolute Values | |

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Functions, Limits, and the Derivative | |

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Functions and Their Graphs | |

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The Algebra of Functions | |

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Functions and Mathematical Models | |

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Limits | |

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One-Sided Limits and Continuity | |

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Derivative | |

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Differentiation | |

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Basic Rules of Differentiation | |

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The Product and Quotient Rules | |

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The Chain Rule | |

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Marginal Functions in Economics | |

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Higher-Order Derivatives | |

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Implicit Differentiation and Related Rates | |

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Differentials | |

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Applications of the Derivative | |

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Applications of the First Derivative | |

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Applications of the Second Derivative | |

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Curve Sketching | |

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Optimization I | |

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Optimization II | |

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Exponential and Logarithmic Functions | |

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Exponential Functions | |

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Logarithmic Functions | |

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Differentiation of Exponential Functions | |

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Differentiation of Logarithmic Functions | |

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Exponential Functions as Mathematical Models | |

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Integration | |

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Antiderivatives and the Rules of Integration | |

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Integration by Substitution | |

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Area and the Definite Integral | |

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The Fundamental Theorem of Calculus | |

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Evaluating Definite Integrals | |

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Area Between Two Curves | |

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Applications of the Definite Integral to Business and Economics | |

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Additional Topics in Integration | |

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Integration by Parts | |

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Integration Using Tables of Integrals | |

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Numerical Integration | |

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Improper Integrals | |

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Applications of Calculus to Probability | |

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Calculus of Several Variables | |

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Functions of Several Variables | |

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Partial Derivatives | |

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Maxima and Minima of Functions of Several Variables | |

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The Method of Least Squares | |

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Constrained Maxima and Minima and the Method of Lagrange Multipliers | |

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Double Integrals | |

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The System of Real Numbers | |

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Tables | |

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Answers to Odd-Numbered Exercises | |

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Index | |