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    calculus

    Unit 1

    Limits and Continuity

    Techniques for Evaluating Limits
    Limits at Infinity and Horizontal Asymptotes
    Introduction to Limits
    Intermediate Value Theorem
    Continuity

    Unit 2

    Derivatives

    Chain Rule
    Higher Order Derivatives
    The Definition of the Derivative
    Related Rates
    Implicit Differentiation
    Basic Differentiation Rules
    Product and Quotient Rules

    Unit 3

    Applications of Derivatives

    L'Hopital's Rule
    Concavity and Inflection Points
    Optimization Problems
    Maximum and Minimum Values
    Increasing and Decreasing Functions
    Mean Value Theorem

    Unit 4

    Integrals

    Fundamental Theorem of Calculus
    Trigonometric Integrals
    Antiderivatives and Indefinite Integrals
    The Definite Integral
    Integration by Parts
    Partial Fractions
    Trigonometric Substitution
    Substitution Rule

    Unit 5

    Applications of Integration

    Arc Length
    Area Between Curves
    Volumes by Cylindrical Shells
    Surface Area
    Volumes by Slicing
    ;

    Unit 5 • Chapter 2

    Area Between Curves

    Summary

    Concept Check

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