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