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| Functions, Modeling and Average Rate of Change | |
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| Coordinate Systems and Functions | |
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| Introduction to Problem Solving | |
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| Linear Functions and Average Rate of Change | |
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| Quadratic Functions and Average Rate of Change on an Interval | |
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| Operations on Functions | |
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| Rational, Radical and Power Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Regression and Mathematical Models (Optional Section) | |
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| Limits, Instantaneous Rate of Change and the Derivative | |
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| Limits | |
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| Limits and Asymptotes | |
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| Problem Solving: Rates of Change | |
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| The Derivative | |
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| Derivatives of Constants, Powers and Sums | |
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| Derivatives of Products and Quotients | |
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| Continuity and Nondifferentiability | |
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| Applications of the Derivative | |
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| The Differential and Linear Approximations | |
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| Marginal Analysis | |
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| Measuring Rates and Errors | |
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| Additional Differentiation Techniques | |
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| The Chain Rule | |
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| Derivatives Logarithmic Functions | |
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| Derivatives of Exponential Functions | |
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| Implicit Differentiation and Related Rates | |
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| Elasticity of Demand | |
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| Further Applications of the Derivative | |
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| First Derivatives and Graphs | |
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| Second Derivatives and Graphs | |
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| Graphical Analysis and Curve Sketching | |
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| Optimizing Functions on a Closed Interval | |
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| The Second Derivative Test and Optimization | |
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| Integral Calculus | |
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| The Indefinite Integral | |
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| Area and the Definite Integral | |
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| Fundamental Theorem of Calculus | |
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| Problem Solving: Integral Calculus and Total Accumulation | |
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| Integration by u-substitution | |
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| Integrals That Yield Logarithmic and Exponential Functions | |
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| Differential Equations: Separation of Variables | |
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| Differential Equations: Growth and Decay | |
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| Applications of Integral Calculus | |
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| Average Value of a Function and the Definite Integral in Finance | |
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| Area Between Curves and Applications | |
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| Economic Applications of Area between Curves | |
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| Integration by Parts | |
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| Numerical Integration | |
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| Improper Integrals | |
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| Calculus of Several Variables | |
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| Functions of Several Independent Variables | |
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| Level Curves, Contour Maps and Cross-Sectional Analysis | |
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| Partial Derivatives and Second-Order Partial Derivatives | |
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| Maxima and Minima | |
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| Lagrange Multipliers | |
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| Double Integrals | |
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| Essentials of Algebra | |
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| Calculator Programs | |
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| Selected Proofs | |