**Time and place:**MWF at 11 in MS 5147**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 (Thiele, Visan and Eskin).**Midterm:**Wednesday, Nov. 4. It will cover Chapters 1 and 2. You should be able to state definitions precisely, give examples and counterexamples, and prove basic facts.**Final exam:**The final exam will be 8-11 am on Wednesday, Dec. 9 in MS 5147. 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 through page 108 of Rudin.**Finals week office hours:**Tuesday 2-4 (none on Monday).**Homework late policy**: 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.

- In doing HW, you may use theorems from the book, even if we have not done them in class (unless the problem is to prove the theorem), and earlier problems, even if they have not been assigned.
**Due Sept. 29:**page 21, #1,2.**Due Oct. 6:**page 21, #3,4,5,7(a,b,c,d),9,10,11,12,13,14.**Due Oct. 13:**page 23, #15; page 43, #2,3,4,5,6,7,8,9,11.**Due Oct. 20:**page 44, #10,12,13,15,16,17,18,22,23.**Due Oct. 27:**page 44, #19,20,21,24,25,26,29.**Due Nov. 3:**page 78, #1,2,3.**Due Nov. 10:**page 78, #4,5,6,7,11.**Due Nov. 17:**page 79, #8,9,10,14(a-d),17(a-c),20.**Due Nov. 24:**page 82, #23,24(a-c); page 98, #1,2,3,4,5,6,8,14.**Due Dec. 1:**page 98, #15,17,18,22,23,24; page 114, #2.