Chapter 1: Functions
- review of algebra topics as time allows
- functions
- inverses, exponentials, and logarithmic functions
Chapter 2: Limits
- limits
- infinite limits
- continuity
- limits at infinity
Chapter 3: Derivatives
- rules of differentiation
- product and quotient rules
- differentiation of trig functions
- the Chain Rule
- implicit differentiation
- derivatives of logarithmic and exponential functions
- related rates
Chapter 4: Applications of the Derivative
- maxima and minima
- graphing functions
- optimization problems
Chapter 4: Applications of the Derivative
- linear approximation and differentials
- Mean Value theorem
- L’Hopitals Rule
- antiderivatives
Chapter 5: Integration
- area under curves
- definite integrals
- the Fundamental Theorem of Calculus
- working with integrals
- substitution rule
Chapter 6: Application of Integration
- velocity and net change
- regions between curves
- volumes by slicing
- volume by shelss
AP Calculus Prep
- review and preparation for Calculus AB exam
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