Outline of MA 241 Lectures on DVD
John Griggs
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MPEG-4 Format.
Lecture
# |
Streaming Video |
Topics
|
1 |
Course Introduction 5.7 Review Additional Integration Techniques (Trig Integrals) |
|
2 |
5.7 Review Additional Integration Techniques (Trig Integrals, Partial Fractions) | |
3 |
5.7 Review Additional Integration Techniques (Partial Fractions, Trig Substitution) 5.8 Table of Integrals |
|
4 |
5.7 Review Additional Integration Techniques (Long Division) 5.9 Approximate Integration (Trapezoidal Rule, Simpsons Rule) |
|
5 |
5.9 Approximate Integration (Simpsons Rule Cont, Error Bound) | |
6 |
5.10 Improper Integrals (Infinite Intervals) | |
7 |
5.10 Improper Integrals (Discontinuous Integrands, Comparison Theorem) | |
8 |
6.1 More about Areas (Area between curves, Area enclosed by Parametric Curves) | |
9 |
General Method used in all of Chapter 6. 6.1 More about Areas (Area enclosed by Parametric Curves cont) 6.2 Volumes (Solids of Revolution) |
|
10 |
6.2 Volumes (Solids of Revolution review, Cylindrical Shells) Revolution not around the axis. |
|
11 |
6.3 Arc Length | |
12 |
6.3 Arc Length cont. (problem) 6.4 Average Value of a Function Mean Value Theorem for Integrals |
|
13 |
Review for Test #1 | |
14 |
Review for Test #1 | |
15 |
6.5 Applications to Physics and Engineering Work Problem Procedure Hooke's Law Spring Problem Pumping Problem |
|
16 |
6.5 Applications to Physics and Engineering (cont) Pumping Water Problem (cont) Spring Problem Cable Problem Pressure Problem Procedure Pressure Problem Pumping Problem |
|
17 |
6.5 Applications to Physics and Engineering (cont) Pumping Problem (cont) Pressure Problems (3) |
|
18 |
6.5 Applications to Physics and Engineering (cont) Moments and Centers of Mass |
|
19 |
7.1 Modeling with Differential Equations | |
20 |
7.2 Direction Fields and Euler’s Method | |
21 |
7.2 Direction Fields and Euler’s Method (cont) 7.3 Separable Differential Equations |
|
22 |
7.3 Separable Differential Equations (cont) Orthogonal Trajectories |
|
23 |
7.3 Separable Differential Equations (cont) Tank Problems |
|
24 |
Tank Problem 7.4 Exponential Growth and Decay Carbon-14 |
|
25 |
7.4 Exponential Growth and Decay Compound Interest Newton’s Law of Cooling |
|
26 |
7.5 The Logistic Equation | |
27 |
7.5 The Logistic Equation Test #2 Review |
|
28 |
Test #2 Review | |
29 |
7.7 2nd Order Linear Differential Equations Terms Auxiliary equation (Characteristic Equation) Method Both roots of auxiliary equation are real and distinct Both roots of auxiliary equation are real and equal |
|
30 |
7.7 2nd Order Linear Differential Equations (cont) Both roots of auxiliary equation are complex |
|
31 |
7.7 2nd Order Linear Differential Equations (cont) Review of 7.7 Several Problems |
|
32 |
7.8 Nonhomogeneous Linear Equations Method Exponential Problems(2) Sin or Cos Problem |
|
33 |
7.8 Nonhomogeneous Linear Equations (cont) Sin or Cos Problem Polynomial Problem Combined Problem |
|
34 |
7.9 Applications of 2nd Order Differential Equations Some additional 7.7 and 7.8 problems Oscillatory phase shift and amplitude |
|
35 |
7.9 Applications of 2nd Order Differential Equations (cont) Spring - over damping, critical damping, under damping Spring Problems (2) |
|
36 |
7.9 Applications of 2nd Order Differential Equations (cont) Circuit Problem |
|
37 |
8.1 Sequences Convergence and Divergence Alternating signs Fibonacci sequence Geometric Progression |
|
38 |
8.2 Series Geometric Progression Convergence and Value |
|
39 |
8.2 Series (Cont.) Derivation and Integration Telescoping Harmonic Divergence Test Convergence Rules |
|
40 |
8.3 Convergence Tests Integral Test Power series |
|
41 |
8.3 Convergence Tests (Cont) Comparison Test Limit Comparison Test Error Estimate |
|
42 |
8.3 Convergence Tests (Cont) Error Estimate (Cont) |
|
43 |
Test #3 Review | |
44 |
8.4 Other Convergence Tests Alternating Series Test Alternating Series Estimation |
|
45 |
8.4 Other Convergence Tests (cont) Alternating Series Test (Problems) Absolute Convergence Ratio Test |
|
46 |
8.5 Power Series Interval of Convergence Bessel Function |
|
47 |
Test #3 Results Bessel Function Review 3 Power Series Problems |
|
48 |
8.6 Representations of Functions as Power Series Converting a Function into a Power Series Differentiating a Power Series Integrating a Power Series |
|
49 |
8.6 Representations of Functions as Power Series (cont) Differentiating and Integrating a Power Series (cont) |
|
50 |
8.7 Taylor and MacLaurin Series | |
51 |
8.7 Taylor and MacLaurin Series (cont) Exponential Taylor Series Taylor Polynomial Sine Taylor Series Derivative of Taylor Series |
|
52 |
8.7 Taylor and MacLaurin Series (cont) Review of Taylor Series Cosine Taylor Series Arithmetic Computations on Taylor Series |
|
53 |
8.7 Taylor and MacLaurin Series (cont) Problem (cont) Error Estimate Product of a Taylor Series |
|
54 |
8.8 Binomial Series Binomial Series Derivation |
|
55 |
8.8 Binomial Series (cont) Binomial Series Problem |
|
56 |
8.8 Binomial Series (cont) | |
57 |
8.9 Application of Taylor McLaurin Series | |
58 |
8.9 Application of Taylor McLaurin Series (cont) Test#4 Review |
|
59 |
59 - Final Review |
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