Chapter 1
Lines
Functions and Graphs
Piecewise, Absolute and Composition Functions
Exponential Functions
Parametric Equations
Functions and Logarithms
Trigonometric Functions
Chapter 2
Intro to Limits
Limits
Sandwich Theorem
Limits Involving Infinity
Continuous Functions
Chapter 3
Rates of Change, Slope and Tangent Lines
Derivatives Continued
Differentiability
Derivatives and the Calculator
Differentiation Rules
Velocity, Speed and Other Rates of Change
Derivatives and Trigonometric Functions
Chain Rule
Implicit Differentiation and Fractional Powers
Derivatives of Inverse Trig Functions
Derivatives of Exponential Functions
Linear Approximations and Differentials
Derivatives of Logarithms
Chapter 4
Extreme Values of Functions
Mean Value Theorem
Connecting f' and f'' with the Graph
Newton's Method
Optimization
Rational Functions and Economic Applications
Radical and Transcendental Fuunctions
Related Rates
Antiderivatives and Initial Value Problems
Slope Fields
Chapter 5
Estimating With Finite Sums
Reimann Sums
Definite Integrals and Antiderivatives
Fundamental Theorem of Calculus
Indefinite Integrals
Integration and Substitution
Trapezoidal Rule
Simpson's Rule
Chapter 6
Area Between Curves
Volume: Disk Method
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Volume: Washer Method
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Volume: Arbitrary Solids
Volume: Cylindrical Shells
Chapter 7
Review of Derivatives and Antiderivatives
Integration by Parts
Exponential Growth and Decay
L'Hopital's Rule
Rates at which Functions Grow
Integration Revisited
Integral as Net Change
Course Outline
Super's A.P. Calculus
