Math 131B, Analysis MWF 1111:50 MS5138 
This course is a continuation of Math 131a, introduction to mathematical analysis. The goal of the course is to give a rigorous treatement of several topics, some going beyond the subjects touched upon in the regular calculus sequence. The major themes of the course are: function spaces and notions of convergence of sequences of function; power series; and basic Fourier analysis, including its applications to the theory of the heat equation. The emphasis of this course continues to be on learning how to formulate and prove rigorous mathematical statements. Homework is a very important part of the course, since this is the only way for you to learn to invent and write proofs. Homework will be due on Wednesdays [corrected 1/12/04].
The course grade will be based on the best of the following scores: (i) two midterms (25% each), the final (30%), quizzes and homework (10% each), or (ii) the best of the midterms (25%), the final (55%), quizzes and homework (10% each) [updated 3/16/04]. Two lowest homework scores and one lowest quiz score will be dropped before computing the grade.
Class Calendar
Week of 
We cover 
Homework due Wednesday of next week 
Notes 

01/09/04 
Review of 131, 5.6 
5.6: 1, 3, 4 
We'll cover the
second half of 5.6 later in the course. 
01/12/04 
4.6, 4.6, 5.1 
4.6: 2, 3, 4, 7,
8; 5.1: 1, 2, 3, 6, 8 

01/19/04 
Holiday, 5.2, 5.2 
5.2: 1, 2, 3, 4,
5, 6, 8, 11 

01/26/04 
5.3, 5.3, 5.6 
5.3: 1, 2, 3, 4,
5, 10; 5.6: 7, 9, 11, 12 

02/02/04 
5.7, Review, M1 
5.7: 1, 3, 5, 9 
Midterm 1 includes
material up to §5.6 and will be on Friday, Feb. 6th. Practice Midterm Practice Midterm Solutions. Midterm Solutions 
02/09/04 
5.8, 5.8, 6.1 
5.8: 1, 3, 4, 7,
9, 11, 12; 6.1: 1, 2, 3, 5, 6, 7, 9 

02/16/04 
Holiday, 6.2, 6.2 
6.2: 1abc, 2, 3,
4, 9, 12, 13 
Practice Midterm Practice Midterm Solutions 
02/23/04 
M2, 6.3, 6.3 
6.3: 1, 2, 3,
4, 6, 14 
Midterm 2 includes
material in §5.7§6.2 and will be held on Monday, Feb. 23rd. Midterm Solutions 
03/01/04 
6.4, 6.5, 9.1 
6.4: 1abcde, 2, 3,
5, 8, 12; 6.5: 1, 2, 3, 4, 5, 6, 7; 9.1: 1, 7, 8 

03/08/04 
9.2, 9.3, 9.3 
9.2: 1, 3, 4, 5,
6; 9.3: 1, 2, 3, 6 

03/15/04 
9.4, Review 
9.4: 2, 3, 6, 7,
8, 9, 10 
Last h/w is due on
3/17. Practice Final Problems (last 1/3 of the course only). Solutions to Practice Final Problems 
Final exam (comprehensive): Friday, March 19, 11:302:30, room
5138. 