Math 2100
Course Videos

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Section
Part
 Video Time
Chapter 1
1.1
Part 1
 Functions
5:17
 
Part 2
 Composite Functions
4:39
 
Part 3
 Symmetry/Odd and Even Function
7:46
1.2
Part 1
 Polynomials, Rational , Algebraic, Exponent, Trig and Transcendental Functions
9:25
 
Part 2
 Piecewise Functions
3:11
 
Part 3
 Catalog of Basic Functions
5:55
1.3
Part 1
 Radians vs. Degrees, Positive vs. Neg. Angles
6:08
 
Part 2
 The Six Trig Functions
4:14
 
Part 3
 Basic Trig Identities, Double and Half-Angle Identities
3:57
 
Part 4
 Common Angles
3:00
Chapter 2
 
2.1
Part 1
 What is Calculus?
6:05
 
Part 2
 The Tangent Line Problem
14:17
 
Part 3
 The Area Problem
8:17
2.2
Part 1
 Definition of a Limit
4:17
 
Part 2
 Finding a Limit Based on a Table
9:39
 
Part 3
 Limits Based on a Graph
7:16
 
Part 4
 One-Sided Limits
10:27
2.3
Part 1
 Properties of Limits
7:13
 
Part 2
 Limits of a Polynomial and Rational Functions
7:49
 
Part 3
 Limit of a Function Involving a Radical
4:06
 
Part 4
 Functions That Agree at All But One Point
14:16
 
Part 5
 A Strategy for Finding Limits
9:28
 
Part 6
 The Squeeze Theorem
6:11
 
Part 7
 Squeeze Theorem Example
2:57
2.4
Part 1
 Infinite Limits
9:41
 
Part 2
 Vertical Asymptotes
4:07
 
Part 3
 Verical Asymptote Examples
10:31
2.5
Part 1
 Limit at Infinity
2:26
 
Part 2
 Horizontal Asymptotes
9:30
 
Part 3
 End Behavior Examples
4:38
 
Part 4
 End Behavior Examples
4:10
 
Part 5
 End Behavior Examples
5:40
 
Part 6
 End Behavior Examples
9:06
 
Part 7
 End Behavior Examples
5:27
 
Part 8
 End Behavior Examples
3:56
 
Part 9
 End Behavior and Asymptotes of Rational Functions
3:12
2.6
Part 1
 Continuity
5:02
 
Part 2
 Continuity Examples
4:55
 
Part 3
 Continuity on a Closed Interval
3:57
 
Part 4
Properties of Continuity
5:29
 
Part 5
 Continuity of Composite Functions
12:30
 
Part 6
 Continuity of Trig Functions
4:22
 
Part 7
 The Intermediate Value Theorem
5:05
Chapter 3
 
3.1
Part 1
 Introduction to Tangents
2:03
 
Part 2
 What dies it mean to be tangent to a point on a curve?
8:01
 
Part 3
 The equation of the line tangent to f at x = a.
2:36
 
Part 4
 Definition of a Tangent Line with Slope m
4:39
 
Part 5
 A Few Examples
4:59
 
Part 6
 A Few Examples
3:49
 
Part 7
 The Definition of a Derivative
6:43
 
Part 8
 Tangent Line Example
10:40
 
Part 9
 Tangent Line Example
5:06
 
Part 10
 Graphs of Derivative Functions
6:37
 
Part 11
 Differentiability and Continuity
5:03
 
Part 12
 When is a function not differentiable at a point?
4:46
Section 3.2
Part 1
 The derivative of a Constant Function
2:15
 
Part 2
 The Power Rule
4:49
 
Part 3
 The Constant Multiple Rule
3:50
 
Part 4
 The Sum and Difference Rule
4:07
 
Part 5
 Higher Order Derivatives
2:20
 
Part 6
 Applications of Higher Order Derivatives
9:04
Section 3.3
Part 1
 The Product Rule
7:04
 
Part 2
 The Quotient Rule
3:47
Section 3.4
Part 1
 Two Special Limits
4:19
 
Part 2
 Derivatives of Sine and Cosine
4:10
 
Part 3
 Examples
3:33
 
Part 4
 Developing derivatives of the other trig functions.
5:47
Section 3.6
Part 1
 Chain Rule - Theorem
3:53
 
Part 2
 Chain Rule Examples
2:51
 
Part 3
 Chain Rule Examples
2:57
 
Part 4
 Chain Rule Examples
5:28
Section 3.7
Part 1
 Explicit Differentiation
7:05
 
Part 2
 Line tangent to a graph.
8:32
 
Part 3
 Vertical and Horizontal Tangent Lines
4:08
 
Part 4
 Finding Higher Order Derivatives
3:51
Section 3.8
Part 1
 Related Rates Introduction
2:20
 
Part 2
 Example: Expanding Cube
4:50
 
Part 3
 Example: Oil Spill
3:24
 
Part 4
 Example: Plank sliding down a wall.
6:46
 
Part 5
 Example: Conical Tank
9:59
Chapter 4
 
Section 4.1
Part 1
 Absolute Extrema
5:37
 
Part 2
 Local Extrema
5:58
 
Part 3
 Example 1
3:02
 
Part 4
 Example 2
7:15
 
Part 5
 Example 3
5:37
Section 4.2
Part 1
 Increasing and Decreasing Functions
5:39
 
Part 2
 The First Derivative Test
3:46
 
Part 3
 Example 1
6:35
 
Part 4
 Example 2
2:12
 
Part 5
 Concavity
5:51
 
Part 6
 Concavity Example
8:11
 
Part 7
 The Second Derivative Test
2:59
 
Part 8
Second Derivative Test Example
4:18
 
Part 9
 Concavity and Extrema Example
3:16
 
Part 10
 Concavity and Extrema Example
4:23
 
Part 11
 A Quick Summary of the Properties of Derivatives
3:38
Section 4.3
Part 1
 Hand Sketching Graphs
4:25
 
Part 2
 Example
8:10
Section 4.4
Part 1
 Basic Guidelines for Optimization / Example 1
8:03
 
Part 2
 Example 2
9:40
Section 4.5
Part 1
 Linear Approximation
7:20
 
Part 2
 Example 1
3:59
 
Part 2
 Example 2
4:32
Section 4.6
Part 1
 Rolle's Theorem
3:23
 
Part 2
 Rolle's Theorem Example
2:35
 
Part 3
 The Mean Value Theorem
2:42
 
Part 4
 Mean Value Theorem Example
7:51
Section 4.7
Part 1
 Indeterminate Forms
3:30
 
Part 2
 L'Hopial's Rule
4:13
 
Part 3
 Examples 1 and 2
2:15
 
Part 4
 Examples 3 and 4
3:32
 
Part 5
 Examples 5 and 6
3:35
Section 4.8
Part 1
 Antiderivatives and Indefinite Integration
6:04
 
Part 2
 The Indefinite Integral
2:48
 
Part 3
 Examples 1 and 2
4:52
 
Part 4
 Examples 3 and 4
2:17
 
Part 5
 Examples 5 and 6
5:02
 
Part 6
 Initial Conditions
3:07
 
Part 7
 Initial Conditions Example
8:37
Chapter 5
Section 5.1
Part 1
 Area Under the Curve
7:36
 
Part 2
 Sigma Notation
6:26
 
Part 3
 Riemann Sums
8:49
 
Part 4
 Left and Right End Points, Mid-Point
14:45
Section 5.2
Part 1
 Definite INtegral
9:32
 
Part 2
 Properties of the Definite Integral
9:55
 
Part 3
 Negative Area
4:47
 
Part 4
 Integrating an Absolute Value Function
3:47
Section 5.3
Part 1
 The Fundamental Theorem of Calculus (part-1)
10:32
 
Part 2
 The Fundamental Theorem of Calculus (part-2)
7:50
 
Part 3
 Net Area
4:35
Section 5.4
Part 1
 Integrating Odd and Even Functions
5:09
 
Part 2
 Examples 1 and 2
2:32
 
Part 3
 Examples 3 and 4
3:15
 
Part 4
 The Average Value Function
3:59
 
Part 5
 The Mean Value Theorem for Integrals
4:32
Section 5.5
Part 1
 u-Substitution
3:36
 
Part 2
 Example 1
1:33
 
Part 3
 Example 2
1:40
 
Part 4
 Example 3
1:41
 
Part 5
 Example 4
1:39
 
Part 6
 Example 5
1:00
 
Part 7
 The Sunstitution Rule for Definite Integrals
4:05
 
Part 8
 Example using both methods.
3:48
Chapter 6
Section 6.2
Part 1
 Area Between Two Curves
4:04
 
Part 2
 Example 1
6:05
 
Part 3
 Example 2
8:09
Section 6.3
Part 1
 Calculating Volumes
4:41
 
Part 2
 The Disk Method
5:35
 
Part 3
 Revolving about a line other than the x- or y-axis.
5:23
 
Part 4
 The Washer Method
7:44
 
Part 5
 Integrating wrt y
9:02
Section 6.4
Part 1
 The Shell Method
9:46
 
Part 2
 Shell Method Example
3:24
 
Part 3
 Shell Method Example
8:12
 
Part 4
 Disk vs. Shell Method
5:34
 
Part 5
 Shell Method Example
5:40
 
Part 6
 Shell Method Example
11:08
Section 6.5
Part 1
 Arc Length
10:25
 
Part 2
 Example 1
2:36
 
Part 3
 Example 2
4:19
 
Part 3
 Example 4
6:24
Chapter 7
Section 7.1
Part 1
 Review of Inverse Functions
5:44
 
Part 2
 Horizontal Line Test
7:17
 
Part 3
 Inverse Example
3:43
 
Part 4
 Derivative of an Inverse Function
4:32
 
Part 5
 Example
3:04
Section 7.2
Part 1
 Definition of the Natural Logarithm
4:01
 
Part 2
 Properties of the Natural Logarithm
3:44
 
Part 3
 Derivative Examples of the Natural Logarithm Functions
3:40
 
Part 4
 The number e
7:21
 
Part 5
 Properties of e^x
3:08
 
Part 6
 Derivatives of the Natural Exponential Function
3:16
 
Part 7
 Examples: Derivstives with e^x
1:15
 
Part 8
 Integrals of Exponential Functions (Examples 1 and 2)
3:00
 
Part 9
 Examples 3 and 4
2:26
 
Part 10
 Examples 5 and 6
1:39
 
Part 11
 Logarithmc Differentiation
3:54
Section 7.3
Part 1
 Properties of b^x
3:05
 
Part 2
 Derivatives of b^x
4:47
 
Part 3
 The Indefinate Integral of b^x
5:06
 
Part 4
 Derivative of log base b
5:45