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| Each chapter concludes with a Review and a Mathematical Snapshot | |
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| Algebra Review | |
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| Sets of Real Numbers | |
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| Some Properties of Real Numbers | |
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| Exponents and Radicals | |
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| Operations with Algebraic Expressions | |
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| Factoring | |
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| Fractions | |
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| Linear Equations | |
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| Quadratic Equations Mathematical Snapshot | |
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| Applications of Equations and Inequalities | |
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| Applications of Equations | |
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| Linear Inequalities | |
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| Applications of Inequalities | |
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| Absolute Value | |
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| Functions and Graphs | |
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| Functions | |
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| Special Functions | |
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| Combinations of Functions | |
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| Inverse Functions | |
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| Graphs in Rectangular Coordinates | |
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| Symmetry | |
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| Translations and Reflection | |
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| Lines, Parabolas, and Systems | |
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| Lines | |
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| Applications and Linear Functions | |
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| Quadratic Functions | |
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| Systems of Linear Equations | |
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| Nonlinear Systems | |
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| Applications of Systems of Equations | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Logarithmic and Exponential Equations | |
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| Mathematics of Finance | |
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| Compound Interest | |
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| Present Value | |
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| Annuities | |
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| Amortization of Loans | |
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| Matrix Algebra | |
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| Matrices | |
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| Matrix Addition and Scalar Multiplication | |
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| Matrix Multiplication | |
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| Solving Systems by Reducing Matrices | |
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| Method of Reduction (continued) | |
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| Inverses | |
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| Leontief's Input-Output Analysis | |
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| Linear Programming | |
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| Linear Inequalities in Two Variables | |
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| Linear Programming | |
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| Multiple Optimum Solutions | |
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| The Simplex Method | |
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| Degeneracy, Unbounded Solutions, and Multiple Optimum Solutions | |
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| Artificial Variables | |
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| Minimization | |
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| The Dual | |
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| Introduction to Probability | |
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| Basic Counting Principle and Permutations | |
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| Combinations and Other Counting Principles | |
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| Sample Spaces and Events | |
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| Probability | |
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| Conditional Probability and Stochastic Processes | |
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| Independent Events | |
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| Bayes' Formula | |
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| Additional Topics in Probability | |
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| Discrete Random Variables | |
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| The Binomial Distribution | |
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| Markov Chains | |
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| Limits and Continuity | |
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| Limits | |
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| Limits (Continued) | |
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| Interest Compounded Continuously | |
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| Continuity | |
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| Continuity Applied to Inequalities | |
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| Differentiation | |
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| The Derivative | |
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| Rules for Differentiation | |
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| The Derivative as a Rate of Change | |
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| Differentiability and Continuity | |
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| Product and Quotient Rules | |
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| The Chain Rule and the Power Rule | |
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| Additional Differentiation Topics | |
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| Derivatives of Logarithmic Functions | |
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| Derivatives of Exponential Functions | |
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| Elasticity of Demand | |
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| Implicit Differentiation | |
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| Logarithmic Differentiation | |
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| Newton's Method | |
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| Higher Order Derivatives | |
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| Curve Sketching | |
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| Relative Extrema | |
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| Absolute Extrema on a Closed Interval | |
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| Concavity | |
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| The Second Derivative Test | |
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| Asymptotes | |
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| Applied Maxima and Minima | |
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| Integration | |
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| Differentials | |
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| The Indefinite Integral | |
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| Integration with Initial Conditions | |
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| Some Integration Formulas | |
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| Techniques of Integration | |
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| Summation | |
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| The Definite | |