Mathematics 131C - Spring 2010
Analysis
- Time and place: MWF at 11 in MS5217 (The Tuesday discussion section is in MS5117.)
- Instructor: Thomas M. Liggett
- Office hours: MWF 2:30-3:30 in MS 7919
- TA: Joe Viola. His office hours are M 1:00-2:00 and Th 12-1 in MS3975
- Texts: Principles of Mathematical Analysis (third edition)
by W. Rudin and Real Analysis (third edition) by H. Royden. We will
spend about three weeks on Chapter 9 of Rudin, and the remaining
seven weeks on as much of Chapters 3-6 of Royden as we have time for.
- Prerequisites: Mathematics 131BH or 131B.
If you were not in 131BH this year,
it would be a good idea to look through earlier
chapters of Rudin. If you want to focus on
a few chapters, I would suggest Chapters 5,6,7. I will
post solutions to my 131BH final exam
on my 131BH web page after the exam, which you can use in your review.
- The first discussion section, on March 30, will be devoted to going through
the 131BH final exam, and otherwise reviewing 131BH material.
- Late homework policy:Loss of 10% of the grade for each day it is late.
- Grading: Midterm 30%, homework 20%, final exam 50%.
- Midterm: Wednesday, May 5. It will cover pages 208-227 of Rudin and Chapter 3 of Royden. Solutions.
- Final: The final exam will
be 11:30-2:30 on Monday, June 7. It will cover pages 208-227 of Rudin and Chapters 3,4,5,6 of Royden.
Solutions.
Homework
- Due April 6: Page 239 #5,6,7,8,10,11,13.
- Due April 13: Page 240 #14,15,16 and problems 1 and 2.
- Due April 20: Page 241 #17,19,20,21,23.
- Due April 27: Royden -- page 19 #19, page 55 #1,2,3,4, page 58 #6, page 64 #11.
- Due May 4: Page 64 #14(b), page 66 #16,17, page 71 #26(last two sentences only), page 73 #30.
- Due May 11: Page 89 #3,4,5,6,7,9.
- Due May 18: Page 93 #12,14,15,16,17,19.
- Due May 25: Page 96 #21(for Fatou),25, page 101 #1,3,5(a,c),7.
- Due June 1: Page 104 #9,12,14(c),16(a,d,e),18,20(a,b).