Mathematics 131BH - Winter 2008
Analysis (Honors)
- Time and place: MWF at 11 in MS 5127
- Instructor: Thomas M. Liggett
- Office hours: MWF 1:30-2:30 in MS 7919
- TA: Joe Viola. His office hours are M 3-4 and Tu 10-11.
He will also have an extra OH Thursday 1/10 11-12.
- Text: Principles of Mathematical Analysis
by W. Rudin
- Prerequisites: Mathematics 131AH (or 131A, in
which case you should check with me before enrolling), and 115A.
(The main use of 115A will occur toward the end of the quarter,
so concurrent enrollment in 115A should be fine.)
- For more information: See Handout
- The first discussion section (on January 8) will be devoted to
going over the 131AH final exam, and further review of 131AH.
- The lecture and discussion section in the second week of
classes will be switched. The discussion section will be on Monday 1/14,
and the lecture will be on Tuesday 1/15. Therefore, the first assignment
will be due on Monday rather than Tuesday that week.
- The midterm will be on Wednesday, Feb. 13. It will
cover pp 120-160. On Monday 2/11, I will be available 1:30-4, Joe will
have OH 3-4, and he will hold a review session 5:30-6:30 in MS 3915D.
- The final exam will be on Thursday,
March 20, 3-6, and will cover Chapters 6,7,8. On Tuesday 3/18,
I will have office hours 2-3:30. I will not have office hours
on Monday or Wednesday of that week.
- 131AH Final
Homework
- Due MONDAY Jan. 14. Page 119, #26,27; page 138 #1,2,3,5.
- Due Jan. 22 Prove parts (b) and (d) of Theorem 6.12; page 138
#5(second part),7,8,10(a,b,c) (for real valued functions in part (c)), 11,12.
- Due Jan. 29 Page 140, #13 (note: you don't need all of (a),(b),(c) to
do (d)),15,16,17,18,19.
- Due Feb. 5 Page 165, #1,2,3,4,6,7,8,9,10,12.
- Due Feb. 12 Page 167, #13 (note that (b) is false as stated; you should find
a counterexample, state a reasonable assumption under which it is true, and prove the
resulting statement), 15, 18, 20, 22. On 13(b), apparently in a later printing,
Rudin corrected this problem. You can either prove the uniform convergence on
compact sets with the given hypotheses, or prove uniform convergence on the
whole line with an additional hypothesis -- your choice.
- Due Feb. 19 Page 168 #14,21, 23,24,25.
- Due Feb. 26 Page 196 #1,2,4(b,c),5(a,d),6,7,9,11.
- Due Mar. 4 Page 198 #12,14,15,17(a),19,22.
- Due Mar. 11 Page 201 #21(first part),22(second part),24,26,30,31.
(Note: we will do most of 23-29 in class; you will contribute 24,26.)