Math 104 - Lecture 7 Notes Tuesday, November 8, 2011

Week 7 Material: Chapter 10 - Series

• Sequences
• Series of constants
  • series with all positive terms -- tests for convergence
  • alternating series

• Chapter 10 -- sections 10.1 through 10.6

Maple - sum

Sixth Homework Assignment - due at lecture on Tuesday, November 15.

1. Reading: Sections 10.1 through 10.6
2. More reading: In the Maple/Calculus Lab Manual, read the section of the manual on "sum".
3. Textbook assignment: (submit nothing) Make certain you can do the following problems from the textbook:
• Section 10.1, p. 559, # 19, 27, 41, 55, 67, 85, 93
• Section 10.2, p. 569, # 9, 27, 33, 41, 51, 75, 93
• Section 10.3, p. 575, # 3, 18, 27, 35, 39
• Section 10.4, p. 580, # 3, 7, 9, 13, 21, 29, 35, 45, 61
• Section 10.5, p. 585, # 3, 7, 11, 17, 25, 29, 39, 47, 57
• Section 10.6, p. 591, # 5, 17, 23, 35, 39, 49, 53
4. Textbook assignment: Submit answers to the following textbook problems in lecture on Tuesday, November 15 (This looks like a lot of problems, and it is, but most of them are short, and it's good to get lots of practice with the series concepts!):
• Section 10.1, p. 559, # 18, 36, 48, 54, 72, 84, 88, 94, 98
• Section 10.2, p. 569, # 12, 24, 30, 34, 38, 54, 60, 76, 86, 94
• Section 10.3, p. 575, # 4, 6, 16, 22, 30, 34, 38, 60
• Section 10.4, p. 580, # 4, 6, 12, 16, 22, 28, 34, 40, 46, 52, 60
• Section 10.5, p. 585, # 4, 8, 14, 20, 26, 30, 38, 48, 56, 58
• Section 10.6, p. 591, # 10, 20, 30, 36, 42, 50, 54