Readable Calculus Screen Casts (Non-AP Version)

Calculus Support Screen Casts

Chapter 0: Reminders from PreCalculus
0.1:    Important Facts for Calculus
Explanation Example A      Example B     Example C
02:    Factoring Review and Zeroes of Functions
Explanation Example A      Example B     Example C      Example D
103:    Sign Patterns
Explanation     Example A      Example B     Example C      Example D

Chapter 1: Review of Derivatives
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:    Product and Quotient Rules
- Product Rule
Explanation     Example A     Example B     Example C      Example D
- Quotient Rule
Explanation     Example A     Example B     Example C      Example D
1.6:    Higher Order Derivatives
Explanation    Example A      Example B     Example C   ExampleD

Chapter 2: Anti-Derivatives
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
2.3:    The Transcendental Rules
Explanation     Example A      Example B     Example C      Example D
2.4:    Separable Differential Equations
Explanation     Example A      Example B     Example C      Example D
2.5:    Slope Fields: Creating Slope Fields   (general Explanation)
Explanation    Example A      Example B     Example C     Example D
2.5:    Slope Fields: Reading Slope Fields
Explanation    Examples A-C     Examples D-F

Chapter 3: Limits, Continuity and Differentiability
3.1:    Limits, L’Hopital’s Rule, and The Limit Definitions
of a Derivative
Basic Limits
Explanation     Example A     Example B     Example C     Example D
L’Hopital’s Rule
Explanation     Example A     Example B     Example C     Example D
3.2     The Limit Definitions of a Derivative
Explanation     Example A     Example B     Example C     Example D
3.3    Continuity, One-sided Limits, and Infinite Limits
Explanation     Example A      Example B     Example C      Example D
3.4:    Differentiability and Smoothness
Explanation     Example A      Example B     Example C      Example D
3.5:    Limits at Infinity and End Behavior
Explanation     Example A      Example B     Example C      Example D & E

Chapter 4 Applications of Derivatives
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
42:   The Mean Value Theorem
Explanation     Example A      Example B     Example C
4.3:    Optimization
Explanation     Example A      Example B     Example C
4.4:     The Second Derivative, Points of Inflection, and Concavity

4.5:    Graphing with Derivatives
Explanation     Example A      Example B     Example C      Example D       Example E
4.6:    Graphical Analysis with Derivatives
Explanation    Example A      Example B      Example C     Example D        Example E

Chapter 5 Derivatives as Rate of Change

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:    Logistic Growth
Explanation Example A      Example B     Example C

Chapter 6: Definite Integrals
6.1:    The Fundamental Theorem of Calculus
Explanation    Example A      Example B     Example C      Example D
6.2:    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
6.3:    Definite Integrals and Integration by Substitution
Explanation    Example A      Example B     Example C      Example D
6.4:    Context: Area, Displacement, and Net Change
Explanation     Example A      Example B     Example C      Example D
6.5: Graphical Analysis with Integration
Explanation     Example A      Example B     Example C      Example D
6.6:    Accumulation of Rates
Explanation   Example A      Example B     Example C      Example D

Chapter 7: Applications of Integrals

7.1:   Area between Two Curves
Explanation Example A      Example B     Example C     Example D
7.2:   Arc Length
Explanation Example A      Example B     Example C      Example D
7.3:   Volume by Cross-section Method
Explanation     Example A and B     Example C      Example D     Example E
7.4:   Volume by Rotation about an Axis: Disk Method
Explanation    Example A      Example B
7.4:   Volume by Rotation about an Axis: Washer Method
Explanation     Example A      Example B/C
7.5:   Volume by Rotation about a Line not an Axis
Explanation     Example A      Example B     Example C
7.6:   Volume by Shell Method
Explanation    Example A Example B

Chapter 8: AP Calculus AB Reviews

8.0:     The AP Exam

Covid-19 Exam Revisions

8.1: Accumulation of Rates

Solution to the Tombstone Mine Problem

8.2: Table Probl ems

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