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Chapter 1: Review of Derivatives
Chapter 1 OVERVIEW
1.1:    The Power Rule and Exponential Rule
Explanation Example A      Example B     Example C
1.2:    Composite Functions and the Chain Rule
Explanation Example A      Example B     Example C      Example D
1.3:    Trig and Log Rules
Explanation     Example A    Example B     Example C     Example D
1.4:    Local Linearity and Approximations
Explanation     Example A      Example B
1.5:    The Product Rule
Explanation     Example A     Example B     Example C      Example D
1.5:    The Quotient Rule
Explanation     Example A     Example B     Example C      Example D
1.7:    Higher Order Derivatives
Explanation    Example A      Example B     Example C Example D

Chapter 2: Anti-Derivatives
Chapter 2 OVERVIEW
2.1:    Anti-Derivatives, the Anti-Power Rule
Explanation     Example A       Example B     Example C      Example D
Common Errors in Integration
Explanation
2.2:    Integration by Substitution--the Chain Rule
Explanation     Example A      Example B     Example C      Example D
Alternative Explanation (Murphy)
2.3:    The Transcendental Rules and Integration by Substitution
Explanation     Example A      Example B     Example C      Example D
2.4:    Derivatives and AntiDerivatives in Context: Motion
Explanation Example A      Example B     Example C      Example D/E
2.5:    Separable Differential Equations
Explanation     Example A      Example B     Example C      Example D Example E                              2.6:    Slope Fields: Creating Slope Fields   (general Explanation)
Explanation    Example A      Example B     Example C     Example D
2.7:    Slope Fields: Reading Slope Fields
Explanation    Examples A-C     Examples D-F

Chapter 3: Definite Integrals
Chapter 3 OVERVIEW
3.1:    The Fundamental Theorem of Calculus
Explanation    Example A      Example B     Example C      Example D
3.2:    Definite Integrals and Integration by Substitution
Explanation    Example A      Example B     Example C      Example D
3.3:    Definite Integrals, Riemann Rectangles, and Trapezoidal Rule
– Riemann Sums
Explanation   Example A      Example B     Example C      Example D     Example E
– Trapezoidal Rule
Explanation   Example A      Example B     Example C      Example D
3.4:    Context: Area, Displacement, and Net Change
Explanation     Example A      Example B     Example C      Example D
3.5:    Intro to AP:   Accumulation of Rates
Explanation   Example A      Example B     Example C      Example D
3.6:   Intro to AP:   Table Problems
Explanation   Example A     Example B      Example C

Chapter 4 Applications of Derivatives
Chapter 4 OVERVIEW
4.1:    Extrema and the Derivative Tests
     Extrema:    Explanation
     The First and Second Derivative Tests :
        Explanation     Example A      Example B     Example C      Example D      Example E
4.2:    Optimization
Explanation     Example A      Example B     Example C
4.3:   The Mean Value and Extreme Value Theorems
Explanation     Example A      Example B     Example C
4.4:     Intro to AP: Input-Output Problems
Explanation     Example A     Example B     Example C     Example D
4.5:     The Second Derivative, Points of Inflection, and Concavity
Explanation     Example A     Example B     Example C     Example D
4.5:    Graphing with Derivatives
Explanation     Example A      Example B     Example C      Example D       Example E
4.6:    Graphical Analysis I
Explanation    Example A      Example B      Example C     Example D        Example E
4.7: Graphical Analysis II
Explanation     Example A      Example B     Example C      Example D

Chapter 5 Derivatives as Rate of Change
Chapter 5 OVERVIEW
5.1:    Motion
Explanation     Example A      Example B     Example C      Example D/E
5.2:    Implicit Differentiation
Explanation     Example A      Example B     Example C      Example D
5.3:    Related Rates
Explanation     Example A      Example B     Example C   Recap
5.4:    Exponential Growth
Explanation     Example A      Example B     Example C      Example D
5.4:    Logistic Growth
Explanation Example A      Example B     Example C      Example D


Chapter 6: Applications of Integrals
Chapter 6 OVERVIEW
6.1:   Area between Two Curves
Explanation
Example A      Example B     Example C     Example D
6.2:   Arc Length
Explanation Example A      Example B     Example C      Example D

Intro To Volume

6.3 Part 1:   Volume by Rotation about an Axis: Disk Method
Explanation    Example A      Example B
6.3 Part 2:   Volume by Rotation about an Axis: Washer Method
Explanation     Example A      Example B/C
6.4:   Volume by Rotation about a Line not an Axis
Explanation     Example A      Example B     Example C
6.5:   Volume by Cross-section Method
Explanation     Example A and B     Example C      Example D     Example E
6.6:   AP Volume FRQs
Explanation    Example A     Example B      Example C
6.7:   Volume by Shell Method
Explanation    Example A Example B

Chapter 7: Limits, Continuity and Differentiability
Chapter 7 OVERVIEW
7.1:    Limits and L’Hopital’s Rule
Basic Limits
Explanation     Example A     Example B     Example C     Example D
L’Hopital’s Rule
Explanation     Example A     Example B     Example C     Example D
7.2:     The Limit Definitions of a Derivative
Explanation     Example A     Example B     Example C     Example D
7.3:    One-sided Limits
Explanation     Example A      Example B     Example C      Example D
7.3:    Infinite Limits
Explanation     Example A      Example B     Example C      Example D
7.4:    Continuity
Explanation     Example A      Example B     Example C      Example D
7.5:    Differentiability and Smoothness
Explanation     Example A      Example B     Example C      Example D
7.6:    Limits at Infinity and End Behavior
Explanation      Example A      Example B     Example C      Example D & E

Chapter 8: AP Calculus AB Reviews
Chapter 8 OVERVIEW
8.0:     The AP Exam

Studying for the 2021 Digital Exam

8.1: Accumulation of Rates

Solution to the Tombstone Mine Problem

8.2: Table Problems

Solution to Dr. Quattrin's Solar panels Problem

8.3: Graphical Analysis

Solution to the Graphical Analysis Practice problem

8.4: Rectilinear Motion

Solution to the Two Particle Problem

8.5: Separation of Variables

Solution to the Parachutist Problem

8.6: Area and Volume

Solution to the Wood Table and Practice Volume Problems

8.7: Related Rates

Solution to the Two Train Problem

8.8: Miscellaneous Topics

Solutions to the AB Miscellaneous Practice Problems

Appendix A: Reminders from PreCalculus
A.1:    Important Facts for Calculus
Explanation Example A      Example B     Example C
A2:    Factoring Review and Zeroes of Functions
Explanation Example A      Example B     Example C      Example D
A3:    Sign Patterns
Explanation     Example A      Example B     Example C      Example D