Mathematics 131AH - Fall 2007
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
- Text: Principles of Mathematical Analysis (3rd edition)
by W. Rudin
- Prerequisite: Mathematics 32B, 33B
- For more information: See Handout
- Which course should you take? It is often difficult to decide before the quarter
begins whether a given student should take the regular or
honors version of Mathematics 131A. Here are two tests you
can use to get a first approximation to the answer: (a) Did
you get A's in essentially all of your prior Mathematics
courses? (b) Do you plan to do graduate work in Mathematics
or a closely related field? If the answer is yes to both
questions, you should almost certainly take the honors version.
If the answer is no to both questions, you almost certainly
should take the regular version. If you are somewhere in the
middle, it would be a good idea to talk with me, or with one
of the instructors of 131A (DeSapio, Khitrik, and Kahn).
- On Tuesday, October 2, there will be a regular lecture, instead of
a discussion section.
- Midterm: Wednesday, November 7. It will cover Chapters 1 and 2, and
Chapter 3 through page 69. You should know how to state definitions
precisely, give examples and counterexamples, and prove basic facts.
- Final exam: The final exam will be 8-11 am on Thursday,
Dec. 13 in MS 5127. You should again be able to state definitions and
theorems clearly and precisely. There will be a set of questions
in which you are asked to decide whether a given statement is true
or false, giving a proof if it is true or a counterexample if it
is false. Then there will be problems in which you are asked
to prove certain statements. Some may be theorems we have covered,
while others are like the homework problems. The final will cover the
first 5 chapters of Rudin.
- Homework late policy: Starting with the assignment due
October 9, homework is to be turned in at the beginning of the discussion
section. If it is late, the TA will grade it, but will subtract 20%
of the grade for each day it is late.
- Joe's extra office hours for the final 3-4 Wednesday 12/12. He will
also hold a review session 4-6 on Tuesday 12/11 in MS.
Homework
- Due Oct. 2: page 21, #1,2.
- Due Oct. 9: page 22, #3,5,6(you can use Theorem 1.21),
7(a,b,c),9,10,11,12,14,15.
- Due Oct. 16: page 43, #2,4,5,7,8,9,10,11,12.
- Due Oct. 23: page 44, #13,15,17(ignore the question
about the set being "perfect" -- that will be on the next set),22,23,24,25,26.
- Due Oct. 30: page 44, #17(the "perfect" part),18,19,20,21;
page 78, #1,2,3,4.
- Due Nov. 6: page 45, #29; page 78, #5,6,7,11,12(b),17(a,b,c),24(a,b,c).
- Due Nov. 13: page 79, #8,9,10,14(a,b,c,d),21,22,23.
- Due Nov. 20: page 80, #13,20; page 98, #1,2,3,4,5,6.
- Due Nov. 27: page 99, #8,11,12,14,15,18,20,21.
- Due Dec. 4: page 101, #23,24,25; page 114, #1,2,3,5,6,11,15.