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| Note: Each chapter concludes with Review Exercises and aMake It Realproject | |
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| Functions and Linear Models | |
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| Functions | |
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| Linear Functions | |
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| Linear Models | |
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| Systems of Linear Equations | |
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| Systems of Linear Equations | |
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| Using Matrices to Solve | |
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| Linear Systems of Equations | |
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| Linear System Applications | |
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| Matrix Algebra and Applications | |
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| Matrix Addition and Scalar Multiplication | |
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| Matrix Multiplication and Inverses Solving | |
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| Matrix Equations | |
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| Leontief Input-Output Models | |
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| Linear Programming | |
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| Graphing Linear Inequalities | |
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| Solving Linear Programming | |
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| Problems Graphically Solving | |
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| Standard Maximization Problems with the Simplex Method | |
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| Solving Standard Minimization | |
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| Problems and the Dual Solving | |
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| General Linear Programming | |
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| Problems with the Simplex Method | |
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| Nonlinear Models | |
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| Quadratic Function Models | |
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| HigherOrder Polynomial Function Models | |
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| Exponential Function Models | |
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| Logarithmic Function Models | |
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| Choosing a Mathematical Model | |
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| Mathematics of Finance Solving | |
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| Exponential Equations | |
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| Simple and Compound Interest | |
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| Future Value of an Increasing Annuity | |
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| Present Value of a Decreasing Annuity | |
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| Sets and Probability | |
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| Introduction to Sets | |
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| Cardinality and the Addition and Multiplication | |
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| Principles Permutations and Combinations | |
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| Introduction to Probability | |
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| Basic Probability Concepts | |
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| Advanced Probability and Statistics | |
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| Conditional Probability Bayes' | |
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| Theorem and Applications | |
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| Markov Chains | |
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| Random Variables and Expected Value | |
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| Measures of Central Tendency and Dispersion | |
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| Normal Distributions | |
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| The Derivative | |
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| Average Rates of Change Limits and Instantaneous | |
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| Rates of Change | |
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| The Derivative as a Slope: Graphical Method | |
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| The Derivative as a Function: Algebraic Method | |
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| Interpreting the Derivative | |
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| Differentiation Techniques | |
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| Basic Derivative Rules | |
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| The Product and Quotient Rules | |
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| The Chain Rule | |
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| Exponential and Logarithmic Rules | |
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| Implicit Differentiation | |
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| Derivative Applications | |
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| Maxima and Minima | |
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| Applications of Maxima and Minima | |
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| Concavity and the Second Derivative Related Rates | |
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| The Integral Indefinite | |
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| Integrals Integration by Substitution | |
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| Using Sums to Approximate Area | |
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| The Definite Integral | |
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| The Fundamental Theorem of Calculus | |
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| Advanced Integration | |
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| Techniques and Applications | |
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| Integration by Parts Area | |
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| Between Two Curves | |
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| Differential Equations and Applications | |
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| Differential Equations: Limited Growth and Logistic Models | |
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| Multivariable Functions and Partial Derivatives | |
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| Multivariable Functions | |
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| Partial Derivatives | |
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| Multivariable Maxima and Minima | |
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| Constrained Maxima and Minima and Applications | |