Handouts

Preparation:

1. Unit Circle  For a further review, on the Homework page, see the Prepation for Math 142 link.
2. Trig Practice Quiz  [soln]
3. Indeterminate Forms - L'Hôpital's Rule  For a further review, on the Homework page, see the Prepation for Math 142 link.
4. Day 1 problem 0 Quiz  [soln]  For more practice, see a first problem from any previous Exam 1 since 2006.
5. Integration Basics  the blue sheet recalling Calc. I basics

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  class handout
12. Improper Integrals   a nice read
13. Improper Integrals Warmup Quiz  [soln]  to test your basic understanding
14. Practice Problem 0 for Improper Integrals  [soln]  [merged]
15. Numerical Integration

Numerical Series:

16. Sequences
17. Series Basics: Definitions
18. Series Basics: Lecture (Geometric & Telescoping Series)
19. Integral Test
20. DCT/LCT for Series (Positive-Termed Series: Criteria and Tests)  [soln]
21. AC vs. CC vs. DV / Ratio&Root Test / Alternating Series  [soln]
22. Practice Problem 0 for Numerical Series   [soln]
23. 38 Serious Series Problems   For more info (e.g. soln), see the Ch 10 homework page.
24. 15 Serious Series Problems   For more info (e.g. soln), see the Ch 10 homework page.  

Power Series:

25. Intro. to Taylor Polynominal   (hand-in part)   [solutions will be posted after it's due]
26. A Nice Read on Taylor Polynomials (p. 50-54) and Taylor Series (p. 54-61)
27. Power Series
28. Practice Problem 0 for §10.7: Power Series   [soln]
29. Taylor Series
30. Practice Problem 0 for §10.TS: Taylor Series [soln]    10.TS = 10.8-10.10
31. Taylor Polynomial/Series Worksheet for lecture
32. Power Series vs. Taylor Series
33. Commonly Used Taylor Series
34. Practice Problem 0 for §10.7-10.10 [soln]    for Power Series, Taylor Series, and Commonly Used Series

Parametric Equations and Polar Coordinates:

35. §11.1-11.2 Lecture Notes   Parametric Curves/Tangent lines & Arc Length
36. Parametization: Definitions and Calculus [soln]
37. Parametric Curves and Polar Coordinates Basics   [soln]
38. Polar Coordinates
39. §11.3-11.5 Lecture Notes   Polar Coords with Area & Arc Length

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.