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Cheryl Marie Grant

MTH 1721 Calculus II

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Last updated on May 3, 2024
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Welcome to Calculus II
11:58
5.1 Approximating Areas
46:09
5.2 The Definite Integral
44:19
6.1 Areas between Curves
29:30
Example Finding the Area between Two Curves that are Defined in Terms of Y
4:51
6.2 Determining Volumes by Slicing
45:07
Example: Finding the Volume Using the Washer Method
5:39
Example: Finding the Volume by Rotating About the Line y=9
4:58
Example: Finding Volume Using the Disc Method (About the y-axis)
3:36
Example Volume by Slicing with Squares
3:55
Example: Volume with Shells, Finding Legnth and Width of the Shell about the x-Axis
4:37
6.3 Volumes of Revolution: Cylindrical Shells
29:11
2.4 Arc Length of a Curve and Surface Area
20:18
2.5 Physical Applications
24:29
2.6 Moments and Centers of Mass
19:33
2.7 Integrals, Exponential Functions, and Logarithms
25:28
2.8 Exponential Growth and Decay
29:06
2.9 Calculus of the Hyperbolic Functions
20:54
3.1 Integration by Parts
32:24
Example Finding a Volume using Integration by Parts
7:31
3.2 Trigonometric Integrals
30:32
3.3 Trigonometric Substitution
35:25
3.4 Partial Fractions
39:56
3.6 Numerical Integration
40:59
Example Using Integral Tables
4:36
3.7 Improper Integrals
33:55
5.1 Sequences
49:32
5.2 Infinite Series
20:17
Example: Estimating Error with the Geometric Series
6:32
5.3 The Divergence and Integral Tests
25:42
Example Maximum Error and the Integral Test
6:48
5.4 Comparison Tests
17:42
Example: Conditional Convergence
4:33
5.5 Alternating Series
23:34
Example: Alternating Series Test
5:58
5.6 Ratio and Root Tests
18:49
6.1 Power Series and Functions
23:54
Example: Interval of Convergence
5:26
6.2 Properties of Power Series
29:01
Example Power Series Written as a Rational Function
7:31
6.3 Taylor and Maclaurin Series
1:06:04
Example Approximating Functions with Taylor Polynomials
3:45
Example 4th Degree Taylor Polynomial for ln(x)
5:33
7.1 Parametric Equations
24:58
7.2 Calculus of Parametric Curves
25:30
7.3 Polar Coordinates
42:47
7.4 Area and Arc Length in Polar Coordinates
21:52
7.5 Conic Sections
46:03
Example 4th Degree Taylor Polynomial
6:03
Example: Product of Two Power Series
5:05
Finding the Directrix of a Conic in Polar Form
15:46