EXAM 3-December 3, 1999

TOPICS: Chapter 10- 10.1 to 10.9, 10.11 to 10.20. 10.23
and 10.24

(convergence of sequences and series, alternating series, improper integrals)

ALSO: absolute vs. conditional convergence of improper integrals
(not in text)

Chapter 11- 11.1 to 11.5 (uniform convergence of sequences and series of
functions)

ALSO: criterion for passing to limits in the derivative of a sequence of
functions (not in text)

CALCULATORS are allowed, but "calculator arguments" are not.

CHAPTER 11- main sections and problems

11.1 to 11.5- Uniform convergence of sequences and series of functions

11.6,11.8: Functions defined by power series

11.7 (E)1,3,5,17,18,19

(H) 2,4,7
due 12/8

11.9-11.11 Convergence of Taylor series

11.13 (E)2,3,5,24

(H)7,8,9 due 12/8

FINAL EXAM Monday, 12/13, 2:45-4:45, Ayres 102

closed book, closed notes. Calculators OK, "calculator solutions" not
OK

TOPICS: comprehensive

EMPHASIS on the following sections/topics

11.6 to 11.8 power series

11.1 to 11.4 uniform convergence

10.23 improper integrals

10.17 to 10.19 conditional and absolute convergence

10.11 to 10.16 convergence tests

7.12 to 7.17 computation of limits

7.5 to 7.8 Taylor's formula with remainder

4.14 mean-value theorem for derivatives

3.18 mean-value theorem for integrals

3.10 intermediate-value theorem and applications

REVIEW: as a minimum, all four exams. Try to solve as many problems
marked (E) or (H) on

the topics above as time permits The last homework set will be returned
on Friday (envelope

outside my office ).