Handouts

Preparation:

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

5. Trigonometric Integrals
6. Trigonometric Substitution
7. Partial Fractions
8. 81 Integrals     For more info (e.g. soln), see the Ch 8 homework page.
9. 100 Integrals   For more info (e.g. soln), see the Ch 8 homework page.
10. Improper Integrals
11. Practice Problem 0 for Improper Integrals  [soln]  [merged]
12. Numerical Integration

Numerical Series:

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

Power Series:

22. Intro. to Taylor Polynominal   (hand-in part)   [solutions will be posted after it's due]
23. A Nice Read on Taylor Polynomials (p. 50-54) and Taylor Series (p. 54-61)
24. Power Series
25. Practice Problem 0 for §10.7: Power Series   [soln]
26. Taylor Series
27. Commonly Used Taylor Series

Parametric Equations and Polar Coordinates:

31. Parametric Curves and Polar Coordinates Basics   [soln]
32. Polar Coordinates

Course Summary:

0. Course Summary of Basic Concepts   [soln]   to help you do the homework and studies. Please use wisely.