Mr. Aiu's Lincoln-Way East Website

Calculus PowerPoints

Here are all the lectures which can be found on this website for AP Calculus (AB and BC). Section numbers refer only to the current textbook being used.

Ch 1	Functions and Graphs	Ch 7	Finding Antiderivatives
1.02	What is a Function?	7.01	Antiderivatives
1.03	Linear Functions/Modeling	7.03	Method of Substitution
1.04	Exponential Functions	7.04	Integration by Parts (BC Only)
1.05	The Number e	7.05	Trig Functions/Inverses
1.06	Inverse Functions	7.06	Numerical Integration
1.07	Logarithms
1.08	Combining Functions	Ch 8	Using the Definite Integral
1.09	Composition of Functions	8.01	Net and Total Distance Traveled
1.10	Trigonometric Functions	8.02	Volumes by Slicing
		8.04	Ave Value of a Function
Ch 2	Derivative Functions	8.05	More App of Definite Integral
2.01	Ave/Instantaneous Velocity
2.02	Derivative of Function at a Pt	Ch 9	Differential Equations
2.03	Derivative Function (Day 1)	9.01	Introduction
	Derivative Function (Day 2)	9.02	Slope Fields
2.04	Numerical Derivative	9.03	Euler's Method (BC Only)
2.05	Critical Numbers: Max/Min	9.04	Separation of Variables
2.06	Inflection Pts/2nd Derivative
2.07	Limit of a Function	Ch 10	Miscellaneous Topics
2.08	Continuity	10.01	L'Hopital's Rule
		10.02	Improper Integrals (BC Only)
Ch 4	Differentiation Rules	10.03	Partial Fractions (BC Only)
4.01	Basic Functions	10.04	Logistic Equation (BC Only)
4.02	Exponential Functions
4.03	Product/Quotient Rules (Day 1)	Ch 11	Taylor Polynomials and Series
	Product/Quotient Rules (Day 2)		(BC Chapter Only)
4.04	Chain Rule (Day 1)	11.01	Polynomial Approx of Functions
	Chain Rule (Day 2)	11.02	Sequences and Series
4.05	Implicit Differentiation	11.03	Power Series
4.06	Related Rates	11.04	Representing Functions w/Power Series
4.07	Approximations	11.05	Testing Convergence at Endpoints
		11.06	Taylor's Formula w/Remainder
Ch 5	Applications of Derivatives
5.01	Inc/Dec Functions	Ch 12	Parametric/Vector/Polar Coordinates
5.02	App of Second Derivative		(BC Chapter Only)
5.03	Limits Involving Infinity	12.01	Parametric Equations
5.04	Optimization Problems	12.02	Length of an Arc Parametrically
5.05	Mean Value Theorem	12.03	Motion in a Plane
		12.04	Limits/Deriv of Vector-Valued Functions
Ch 3/6	Introduction to Integrals	12.05	Polar Coordinates
3.01	Distance Traveled	12.06	Area/Arc Length in Polar Coordinates
3.02	Riemann Sums
3.03	Definite Integrals
3.04	Fundamental Thm of Calculus
6.01	Definite Integral Again
6.03	Fundamental Thm of Calculus
6.04	Area of Plane Regions