Homepage http://math.stanford.edu/~galatius/171F13/
Classes TTh 9:30  10:45 in Littlefield 107


Textbook Foundations of Mathematical Analysis, by Johnsonbaugh and Pfaffenberger.
About the class. Math 171 is Stanford's honors analysis class and will have a strong emphasis on rigor and proofs. The class will take an abstract approach, especially around metric spaces and related concepts.
For some students, Math 115 will be a suitable alternative to 171. The two classes cover similar material, but 171 will be more fastpaced and have a more abstract and proofbased flavor. If you are in doubt which of the two classes is more appropriate for you, you should come and talk to me as early as possible (and certainly before the drop deadline, which is April 19th). Math 171 is required for honors majors, and satisfies the WIM requirement.
Topics. The class will cover approximately chapters IX of the book. A more detailed lecture plan (updated after each lecture) is here. The topics will fall under the following three headlines.
Writing in the Major. Writing is an important part of mathematics, and the WIM assignment is an important part of this class. A draft of your text will be due May 17th, the final text will be due May 30th. More information here.
Exams  

Midterm  Inclass 5/2. Open book, open notes. 
Final  6/11, 12:15PM  3:15PM in 380380X (note: this is in the math department, not the same room as the lectures.) Open book, open notes. 
Grades Homework 25%, WIM assignment 15%, Midterm 25%, Final exam 35%.
Homework is due each week. You may discuss the problems with each other, but you must work alone when you write up your solutions. Late homework will not be accepted, but the lowest scoring problem set will be dropped. JB refers to problems in the book.
Due date  Problems 

4/11  JP 5.4, 5.5, 9.11, 16.8 (bonus question: explain why any proof of this must use the supremum property), 18.1, 18.4, 20.12, and these exercises. Solutions. 
4/18  JP 20.10, 23.1, 23.4, 24.5, 26.9 (bonus question: discuss what happens if a_{n} = 9 for all n), 27.1 ((a)+(d)), and these exercises. Solutions. 
4/25  JP 35.1, 35.2, 35.5, 35.6, 35.9, 37.2, 37.3, 40.11 and these exercises. Solutions. 
5/2  Inclass midterm. No homework due, but here are some practice problems. Solutions to the midterm. 
5/9  34.4, 34.6, 40.12, 40.17, 41.3, 41.5, 42.1, 42.2, and these exercises. Solutions. 
5/16  (Half weight, due to WIM draft) 37.11, 43.4, 43.6, this exercise. Solutions. 
5/23  42.12, 44.7, 46.1, 46.5, 46.10, 46.11, these exercises. Solutions. 
5/30  these exercises. Solutions. 
not due  some practice problems. (Updated 6/6 9:30pm. Might be further updated.) 