Math 104 - Lecture 8 Notes Tuesday, November 15, 2011

Week 8 Material: Chapter 10 - Series

• Power series -- interval of convergence
• Taylor polynomials and series
• Error estimates
• Magic tricks -- finding new series from old
• Applications: estimating integrals, function values, and other things

• Chapter 10 -- sections 10.7 through 10.10

Maple - sum, taylor

Eighth Homework Assignment - due at lecture on Tuesday, November 22.

1. Reading: Sections 10.7 through 10.10
2. More reading: In the Maple/Calculus Lab Manual, read the section of the manual on "taylor".
3. Textbook assignment: (submit nothing) Make certain you can do the following problems from the textbook:
• Section 10.7, p. 600 # 5, 9, 13, 23, 33, 39, 43
• Section 10.8, p. 606 # 3, 13, 19, 29
• Section 10.9, p. 613 # 5, 15, 19, 29, 35
• Section 10.10, p. 620 # 3, 15, 19, 29, 39, 45
4. Textbook assignment: Submit answers to the following textbook problems in lecture on Tuesday, November 22
   • Section 10.7, p. 600 # 6, 10, 14, 28, 34, 38, 46, 52
   • Section 10.8, p. 606 # 8, 12, 22, 24, 32
   • Section 10.9, p. 613 # 8, 10, 20, 30, 36, 40, 50
   • Section 10.10, p. 620 # 8, 16, 20, 24, 34, 42, 46, 58