Outline of MA 141 Lectures on DVD
John Griggs
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Lecture
# |
Streaming Video |
Topics
|
1 |
Course Introduction 1.1 Four ways to represent a function 1.2 Mathematical Models 1.3 New Functions from Old (graph shifts, composite functions) |
|
2 |
1.1 Four ways to represent a function 1.2 Mathematical Models 1.3 New Functions from Old (graph shifts, composite functions) |
|
3 |
1.1 Four ways to represent a function (Symmetry, Increasing - Decreasing) 1.2 Mathematical Models (polynomials, asymptotes, intercepts, power, log, transcendental) |
|
4 |
1.2 Mathematical Models (Inverse) Appendix B Coordinate Geometry (Lines, Circles) |
|
5 |
Questions Covering 1.1 through 1.5 Appendix B Coordinate Geometry (Conic Sections) |
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6 |
Appendix B Coordinate Geometry (Conic Sections) cont. 1.5 Exponential Functions |
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7 |
1.5 Exponential Functions cont. (e, hyperbolic) 1.6 Inverse Functions and Logs |
|
8 |
Question on Inverse Problem 1.7 Parametric Curves (plotting, eliminating t, cycloid) 2.1 Tangent and Velocity problems (Secant and Tangent slopes) |
|
9 |
Question on Inverse Problem 1.7 Parametric Curves (plotting, eliminating t, cycloid) 2.1 Tangent and Velocity problems (Secant and Tangent slopes) |
|
10 |
2.2 The limit of a function (cont) 2.3 Calculating the limits using the limit laws |
|
11 |
2.3 Calculating the limits using the limit laws cont. (Squeeze Theorem) 2.4 Continuity |
|
12 |
2.4 Continuity cont. (Intermediate Value Theorem) 2.5 Limits Involving Infinity |
|
13 |
2.5 Limits Involving Infinity (cont.) 2.6 Tangents, Velocities and Other Rates of Change |
|
14 |
2.6 Tangents, Velocities and Other Rates of Change cont (Estimates) Instantaneous Rate of Change 2.7 Derivatives (Definition of derivative) |
|
15 |
2.7 Derivatives cont (Higher Order Derivatives) Review for Test #1 |
|
16 |
2.8 Derivative as a Function | |
17 |
2.8 Derivative as a Function cont 2.9 What does f' say about f |
|
18 |
2.9 What does f' say about f cont 3.1 Derivatives of Polynomials and Exponential Functions |
|
19 |
Review of several questions that were on Test 1 (Fall 2008) 3.1 Derivatives of Polynomials and Exponential Functions cont |
|
20 |
3.2 Product and Quotient Rules | |
21 |
3.4 Derivatives of Trigonometric Functions | |
22 |
3.4 Derivatives of Trigonometric Functions cont (Examples) 3.5 Chain Rule |
|
23 |
3.5 Chain Rule cont (Examples, Parametric Equations) | |
24 |
3.5 Chain Rule cont (Examples) 3.6 Implicit Differentiation |
|
25 |
3.6 Implicit Differentiation cont (Examples, Derivative of Inverse Trigonometric Functions) |
|
26 |
3.6 Implicit Differentiation cont (Orthogonal Trajectories) | |
27 |
3.7 Derivatives of Logarithmic Functions | |
28 |
Review for Test #2 | |
29 |
3.8 Linear Approximation and Derivatives | |
30 |
4.1 Related Rates (Method , Examples) | |
31 |
4.1 Related Rates (Examples) | |
32 |
4.1 Related Rates (Example) 4.2 Maximum and Minimum Values |
|
33 |
4.2 Maximum and Minimum Values cont 4.3 Derivative and the Shapes of Curves (f', Mean Value Theorem) |
|
34 |
4.3 Derivative and the Shapes of Curves cont (f") | |
35 |
4.3 Derivative and the Shapes of Curves cont (examples) 4.5 Intermediate Forms and L'Hopitals Rule (0/0, Infinity/Infinity) |
|
36 |
4.5 Intermediate Forms and L'Hopitals Rule cont (0/0, Infinity/Infinity, other forms) Intro to Optimization Problems |
|
37 |
4.6 Optimization Problems (Method, Examples) | |
38 |
4.6 Optimization Problems (Examples) | |
39 |
4.6 Optimization Problems (Examples) | |
40 |
4.6 Optimization Problems (Example) 4.8 Newton's Method |
|
41 |
4.8 Newton's Method cont | |
42 |
Review for Test #3 | |
43 |
4.9 Antiderivatives | |
44 |
4.9 Antiderivatives (Problems) Appendix F Sigma Notation |
|
45 |
Appendix F Sigma Notation (Problem) 5.1 Areas and Distance |
|
46 |
5.2 Definite Integral (Reimann Sum) | |
47 |
5.2 Definite Integral | |
48 |
5.3 Evaluating Definite Integrals | |
49 |
Review of several questions that were on Test 3 (Fall 2008) 5.3 Evaluating Definite Integrals 5.4 Fundamental Theorem of Calculus |
|
50 |
5.5 The substitution Rule | |
51 |
5.5 The substitution Rule | |
52 |
5.6 Integration by Parts | |
53 |
5.6 Integration by Parts cont. 5.7 and Appendix G Partial Fractions Case #1 Linear Factors in Denominator (none are repeated) Case #2 Linear Factors in Denominator (some are repeated - squared, cubed, etc.) |
|
54 |
5.7 and Appendix G Partial Fractions cont. Case #2 Liner Factors in Denominator (some are repeated - squared, cubed, etc.) Case #3 and 4 Irreducible Quadratic Factor in Denominator 5.7 Partial Fractions when Numerator is greater than Denominator |
|
55 |
5.7 Trigonometric Integrals Cos and Sin with One or more as Odd Powers Cos and Sin with all Even Powers Intro to Sec and Tan |
|
56 |
5.7 Trigonometric Integrals Sec and Tan Review for Test 4 |
|
57 |
5.7 Trigonometric Substitution | |
58 |
Review of several questions that were on Test 4 (Fall 2008) | |
59 |
5.8 Table of Integrals | |
60 |
5.8 Table of Integrals cont. | |
61 |
Final Exam Review |
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