AP Calculus Notes
Semester 1
Semester 2
Graphing Functions
Extrema on an Interval
A.3 Trig. Review
Rolle's Theorem and the MVT
Limits of Functions
(day 1)
1st Derivative Test(Inc. & Dec. Functions)
Limits containing Trig Functions
(day 2)
2nd Derivative Test and Concavity
Continuity and One Sided Limits
(day 1)
Optimization
Continuity Theorems
(day 2)
Area of a Region using Left, Right, Midpoint and Trapezoidal Sums
Infinite Limits
Antiderivatives and Indefinite Integration
Limits to Infinity
Differential Equations and Slope Fields
Limit Definition of Derivative
The Definite Integral and Riemann Sums
Differentiability
Application of the Definite Integral
Basic Differentiation Rules
The 1st and 2nd FTC
Rate of Change(avg. & instantaneous)
The MVT for Integrals
Product & Quotient Rules
Integration by Substitution (u-substitution)
Chain Rule
Logarithmic Functions and Integration
Implicit Differentiation
Integration of Exponential Functions
Related Rates
Inverse Trig. Functions and Integration
Exponetial Function Review
Area of a Region Between Curves
Logarithmic Function Review
Volume of Rotational Solids
Differentiation of Exponential Functions
Volume of Known Cross Sections
Differentiation of Logarithmic Functions
The Shell Method
Inverse Functions
Arc Length and Surfaces of Revolution
Differentiation of Inverse Trig. Functions
Integration Rules and Integration by Parts
Differentiation quiz tips
Tangent Line Approximation Notes
Indeterminate Forms and L’Hopital’s Rule