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) 

6 
Appendix B Coordinate Geometry (Conic Sections) cont. 1.5 Exponential Functions 

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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