## Math 311, Section 3 Spring 2005

### Schedule

Week Date of Monday Topic / Section of book Homework Workshop Comment
1 Jan. 17 Introduction / 1.1 and 1.2 page 11: 6, 7, 10, 11 1 No class Monday - MLK Day. Here is a bonus workshop (yay!) answering a question asked in class. Also, I have written up a solution of a problem from the first workshop.
2 Jan. 24 The real numbers / 1.3 and 1.4 page 17: 3a, 3b, 6; page 27: 4, 5 2 Here are axioms for the real numbers. Put them under your pillow!
3 Jan. 31 Sequences and Series / 2.1 to 2.4 page 43: 1a; page 49: 6, 7a, 11; page 54: 2 3
4 Feb. 7 Bolzano-Weierstrass and Cauchy / 2.5 and 2.6 page 58: 3, 6; page 61: 1, 3; 4
5 Feb. 14 Series and the real line / 2.7 to 3.2 page 67: 1c, 4, 5, 9; No workshop this week. Bring questions to class on Thursday.
6 Feb. 21 Compactness / 3.3 page 83: 2, 3, 11; page 87: 3, 6; 5 First midterm on Monday the 21st. Here are solutions to some of the exam problems.
7 Feb. 28 Limits of functions / 4.1 to 4.3 page 108: 1a, 1b, 7; page 113: 1, 7, 9; 6 This week's homework assignment is long - start early! Here are solutions to two of this week's workshop problems.
8 Mar. 7 Continuous functions and IVT / 4.4 and 4.5 page 119: 1, 4, 9; page 124: 3, 7; 7 The grader, Debajyoti Nandi, has written solutions for this weeks homework.
9 Mar. 14 No classes this week - Spring break.
10 Mar. 21 Review. Start derivatives / 5.2 page 136: 2, 4; See note Workshop this week: rewrite workshop 3 or 4. Turn it in next week along with the original paper for a regrade.
11 Mar. 28 MVT / 5.3 page 143: 1, 2 (Hint: closed intervals are compact), 5 (Hint: MVT); 8 Short workshop this week. Bring review questions on Thursday.
12 Apr. 4 Sequences of functions, Uniform convergence / 6.2 to 6.3 page 160: 1, 3, 11; page 166: 2; 9 Second midterm on Monday
13 Apr. 11 Series of functions, power series. / 6.4 page 168: 1, 2, 5; page 174: 1a, 2; No new workshop this week - instead we traded, critiqued, and rewrote number nine.
14 Apr. 18 Power series, integrals / 6.5, 7.2, and 7.3 page 190: 2, 5; page 194: 5; 10
15 Apr. 25 Integrals and the FTC / 7.4 and 7.5 page 199: 4, 6; page 202: 4; (Not to be turned in.) 11 Please begin studying for the final early. Here are solutions to the homework problems.
16 May 2 Review - Please come with questions. No HW this week. No workshop this week. Monday is last day of classes. I will hold the final office hour at the usual time (Wednesday 10:30 - 12:30) in HLL-423. The final exam will be Tuesday, May 10th, from 12pm to 3pm in SEC-205. Here are sketchy solutions to some problems from Chapter 6.