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
Textbook reading
- Chapter 10 -- sections 10.7 through 10.10
Maple - sum, taylor
Eighth Homework Assignment - due at lecture on Tuesday, November
22.
- Reading: Sections 10.7 through 10.10
- More reading: In the
Maple/Calculus Lab Manual, read the
section of the
manual on "taylor".
- 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
- 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