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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. | |