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LESSON VIDEOS &
OLD TESTS
The topics below are both AB and BC topics. The topics preceded with an
asterisk (*) are BC only topics. All documents are .pdf
Course Info:
1st Day Handout: Parent/Student
Letter
1st Day Homework:
Academic Integrity,
Parent
Survey,
Student Survey
AP
Calculus Syllabus:
AB,
BC
Open House Info:
AB &
BC,
Bingo,
&
Schedule
AP
Calculus
Survival Guide
Getting Ready:
Appendix: Precalculus stuff to know cold (Notes)
Appendix: Parent Function Catalog (Notes)
Appendix: The Unit Circle (Notes)
Spleen: Prerequisite Algebra Skills (WS/KEY)
Chapter P:
Calculus Prerequisites
P.1
What is AP Calculus? (Notes)
P.2 Parent Functions (Notes,
WS/KEY)
P.3 Simplifying Expressions (Notes,
WS/KEY)
P.4 Equations of Lines (Notes,
WS)
P.5 Domain, Range, and Symmetry (Notes,
WS)
P.6 Fun with Functions (Notes,
WS)
P.7 Trigonometry (Notes,
WS)
Chapter 1: Limits
1.1 Limits & Continuity (Notes,
WS/KEY)
1.2 Properties of Limits (Notes,
WS/KEY)
1.3 Limits at Infinity (Notes,
WS/KEY)
1.4 Algebraic Limits (Notes,
WS/KEY)
1.4 Xtra Practice (WS/KEY)
1.5 Continuity on Intervals & IVT (Notes,
WS/KEY)
Chapter 2:
Differentiation
2.1
Tangent Line & Differentiability (Notes,
WS/KEY)
2.2
Derivatives on the Calculator (Notes,
WS/KEY)
2.3
Basic Differentiation Rules (Notes,
WS/KEY)
2.4 Product & Quotient Rules (Notes,
WS/KEY)
2.5 Rates of Change and Particle Motion I (Notes,
WS/KEY)
2.6 The Chain Rule (Notes/,
WS/KEY)
2.7 Implicit Differentiation (Notes,
WS/KEY)
2.8 Derivatives of Inverse & Inverse Trig Functions (Notes,
WS/KEY)
2.9 Derivatives of Exponential Functions (Notes,
WS/KEY)
2.10 Derivatives of Log Functions & LOG DIFF (Notes,
WS/KEY)
Chapter 3: Applications
of Differentiation
3.1 Extrema on an interval (Notes,
WS/KEY)
3.2 Rolle's Theorem and
the MVT (Notes,
WS/KEY)
3.3 Increasing, Decreasing, and 1st Derivative Test (Notes,
WS/KEY)
3.4 Concavity and the Second Derivative Test (Notes,
WS/KEY)
3.5 f, f ', and f '' (Notes,
WS/KEY)
3.5B Summary Sheet (Notes)
3.6 Optimization (Notes,
WS/KEY)
3.7 Linearization and Differentials (Notes,
WS/KEY)
3.8 Related Rates (Notes,
WS/KEY)
Chatper 4: Integration
4.1 Antiderivatives and Indefinite Integration (Notes,
WS/KEY)
4.1B Basic Differentiation Practice (WS/KEY)
4.1C Mixed AP MC Review (WS)
4.2 Numeric Definite Integrals (Notes,
WS/KEY)
4.3 The FTOC I & II and MVT II (Notes,
WS/KEY)
4.4 Integration by u-Substitution
(Notes,
WS/KEY)
Chapter 5:
Differential Equations & Modeling
5.1 Separable Differential Equations (Notes,
WS/KEY)
5.2 Slope Fields (Notes,
WS/KEY)
5.2B Mega Integration Practice (AB methods) (WS)
5.3 *Euler's Method (Notes,
WS/KEY)
5.4 *Integration by Parts (Notes,
WS/KEY)
5.5 *Partial Fractions & Logistic Growth (Notes,
WS/KEY)
Chapter 6:
Applications of Integration
6.1 Integral as Net Change (Notes,
WS/KEY)
6.2 Area between Curves (Notes,
WS/KEY)
6.3 Volumes (Notes,
WS/KEY)
6.4 *Arc Length (Notes,
WS/KEY)
6.5 L'Hôpital's Rule and Indeterminate Forms (Notes,
WS/KEY)
6.6 *Improper Integrals (Notes,
WS/KEY)
Chatper 7:
Vector Calculus
7.1 *Intro to Parametric & Vector Calculus (Notes,
WS/KEY)
7.2 *Parametric & Vector Accumulation (Notes,
WS/KEY)
Worksheet II/KEY
Chapter 8: Polar
Calculus
8.1 *Polar Intro & Derivatives (Notes,
WS/KEY)
8.2 *Polar Area (Notes,
WS/KEY)
Chapter 9:
Sequences & Series
9.1 *Infinite Sequences & Series (Notes,
WS/KEY)
Summary of
Tests for Convergence and
Series Flow Chart with practice problems
9.2 *Taylor Polynomials (Notes,
WS/KEY)
9.3 *Power Series I: Taylor & Maclaurin Series (Notes,
WS/KEY)
9.4 *Power Series II: Geometric Series (Notes,
WS/KEY)
9.5 *Lagrange Error Bound (Notes,
WS/KEY)
Chapter 10:
After the AP Exam
10.1 Trig Substitution Integration (Notes/KEY,
WS/KEY)
10.2 Partial Fraction Decomposition (Notes/KEY,
WS/KEY)
10.3 Epsilon-Delta Proofs (Notes/KEY,
WS/KEY)
10.4 Newton's Method (Notes/KEY,
WS/KEY)
10.5 Surface Area (Notes/KEY,
WS/KEY)
10.6 Hyperbolic Trig Functions (Notes/KEY,
WS/KEY)
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