Handouts

Preparation:

1. Integration Basics  the blue sheet recalling Calc. I basics
2. Day 1 problem 0 Quiz  [soln]  For more practice, see a first problem from any previous Exam 1 since 2006.
3. Worksheet: Ch. 8 Skills Review  [see Selected Solutions]
4. Unit Circle  For a further review, on the Course Homepage under Homework, link to Prepation for Math 142.
5. Indeterminate Forms - L'Hôpital's Rule  For a further review, on the Course Homepage under Homework, link to Prepation for Math 142.

6. Trigonometric Integrals
7. Trigonometric Substitution
8. Partial Fractions
9. 81 Integrals     For more info (e.g. soln), see the Ch 8 homework page.
10. 100 Integrals   For more info (e.g. soln), see the Ch 8 homework page.
11. Improper Integrals Warmup Quiz  [soln]  To test your basic understanding.
12. Improper Integrals  class handout
13. Practice Problem 0 for Improper Integrals  [soln]  [merged]

Series Motivation: Introduction to Taylor Polynomials

14. Intro. to Taylor Polynominal  as you read this handout, answer the homework problems directly on the below Hand-in Part.
15. Hand-in Part  of Intro to Taylor Polynominal
16. Nice videos visually illustrating convergence for the:
    Taylor Polynomials for the Sine function and the Geometric Taylor Polynomials for the function f(x) = 1/(1-x).
17. Another video illustrating the goal of Ch. 10. This video was recommended by a fellow student.
18. Chart for Taylor Lecture

Numerical Series:

19. Sequences
20. Series Basics: Definitions
21. Series Basics: Lecture (Geometric & Telescoping Series)
22. Integral Test
23. Positive-Termed Series  (Integral Test & DCT/LCT)  [soln]
24. Arbitrary-Termed Series  (Ratio/Root Tests & AST)  [soln]
25. Ratio/Root Tests Lecture
26. Alternating Series Test (AST) Lecture Outline
27. Practice Problem 0 for Numerical Series   [soln]
28. 38 Serious Series Problems   For more info (e.g. soln), see the Ch 10 homework page.
29. 15 Serious Series Problems   For more info (e.g. soln), see the Ch 10 homework page.  

Power Series:

30. Power Series
31. Taylor Polynomial/Series/Reminder: Key Ideas    §10.8-10.10
32. Taylor Polynomial/Series/Reminder: Lecture Examples
33. Power Series vs. Taylor Series
34. Commonly Used Taylor Series
35. Even/Odd-ness of Maclaurin Polynomials
36. A Nice Read on Taylor Polynomials (p. 50-54) and Taylor Series (p. 54-61)
37. Practice Problem 0 for §10.7: Power Series   [soln]
38. Practice Problem 0 for §10.TS: Taylor Series [soln]    10.TS = 10.8-10.10
39. Practice Problem 0 for §10.7-10.10 [soln]    for Power Series, Taylor Series, and Commonly Used Series

Parametric Equations and Polar Coordinates:

40. §11.1-11.2 Lecture Notes   Parametric Curves/Tangent lines & Arc Length
41. Parametization: Definitions and Calculus [soln]
42. Parametric Curves and Polar Coordinates Basics   [soln]
43. Polar Coordinates
44. §11.3-11.5 Lecture Notes   Polar Coords with Area & Arc Length
45. Arc Length Lecture Examples

Course Summary:

0. Course Summary of Basic Concepts   [soln]  
   A many-paged course summary to help you study for the final. Please use wisely. Feel free to make yourself a copy. Will not be distributed in class.