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 Example D
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 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 Example D
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