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Functions | |
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Graphers Versus Calculus | |
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Functions | |
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Mathematical Models | |
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Exponential Models | |
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Combinations of Functions | |
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Logarithms | |
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Modeling With Least Squares | |
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Method of Least Squares | |
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Quadratic Regression | |
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Cubic, Quartic, and Power Regression | |
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Exponential and Logarithmic Regression | |
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Logistic Regression | |
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Selecting the Best Model | |
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The Derivative | |
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Introduction to Calculus | |
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Limits | |
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Rates of Change | |
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The Derivative | |
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Local Linearity | |
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Rules For The Derivative | |
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Derivatives of Powers, Exponents, and Sums | |
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Derivatives of Products and Quotients | |
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The Chain Rule | |
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Derivatives of Exponential and Logarithmic Functions | |
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Elasticity of Demand | |
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Management of Renewable Natural Resources | |
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Curve Sketching And Optimization | |
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The First Derivative | |
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The Second Derivative | |
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Limits at Infinity | |
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Additional Curve Sketching | |
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Absolute Extrema | |
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Optimization and Modeling | |
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The Logistic Model | |
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Implicit Differentiation and Related Rates | |
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Integration | |
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Antiderivatives | |
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Substitution | |
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Distance Traveled | |
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The Definite Integral | |
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The Fundamental Theorem of Calculus | |
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Area Between Two Curves | |
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Additional Applications of the Integral | |
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Additional Topics In Integration | |
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Integration by Parts | |
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Integration Using Tables | |
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Numerical Integration | |
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Improper Integrals | |
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Functions Of Several Variables | |
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Functions of Several Variables | |
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Partial Derivatives | |
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Extrema of Functions of Two Variables | |
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Lagrange Multipliers | |
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Total Differentials and Approximations | |
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Double Integrals | |
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Optional Cd-Rom Chapters | |
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The Trigonometric Functions | |
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Angles | |
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The Sine and Cosine | |
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Differentiation of the Sine and Cosine Functions | |
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Integrals of the Sine and Cosine Functions | |
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Other Trigonometric Functions | |
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Taylor Polynomials And Infinite Series | |
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Taylor Polynomials | |
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Errors in Taylor Polynomial Approximation | |
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Infinite Sequences | |
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Infinite Series | |
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The Integral and Comparison Tests | |
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The Ratio Test and Absolute Convergence | |
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Taylor Series | |
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Probability and Calculus | |
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Discrete Probability | |
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Continuous Probability Density Functions | |
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Expected Value and Variance | |
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The Normal Distribution | |
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Differential Equations | |
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Differential Equations | |
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Separation of Variables | |
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Approximate Solutions to Differential Equations | |
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Qualitative Analysis | |
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Harvesting a Renewable Resource | |
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Review | |
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Tables. | |