Math 140B - Foundations of Analysis     Spring 2008

Final: Wednesday, June 11, 3-6pm in APM 6402.       What's on the test?
Exam week office hours: Monday 3-4 in APM 7426,   Tuesday 1-2 in APM 6343

Instructor:   Kate Okikiolu     okikiolu@math.ucsd.edu

Lectures: MWF 3-3:50 pm in CENTER 217B

Office Hours: F 10-11am in AP&M 7426

Teaching Assistant: Daniel McAllaster     dmcallas@math.ucsd.edu.

Section: W 6-6:50 pm in CENTER 217B

TA Office Hours: Tu and Th 12-1 in AP&M 6343.

Homework: Due on Fridays by 1:30pm in APM.   Homework 1, due 4/4.      Homework 2, due 4/11.      Homework 3, due 4/18.      Homework 4, due 4/25 IN SECTION.      Homework 5, due 5/2.      Homework 6, due 5/9.      Homework 7, due 5/16.      Homework 8, due Wednesday 5/21.      Homework 9, due Friday 5/30.      Homework 10, due Friday 6/6.   

Text: "Mathematical Analysis" (second edition) by Tom M. Apostol. Addison-Wessley.

Other texts: There are many good texts. Two texts which give a lot of explanation: "Advanced Calculus" by Angus E. Taylor and W. Robert Mann. "The Way of Analysis" by Robert Strichartz.
An elegant text with less explanation: "Principles of Mathematical Analysis" by Walter Rudin.
A good text for the more advanced material: "Real Analysis" by Elias Stein and Rami Shakarchi.

Syllabus: This course continues from 140A. In 140B we will focus on differentiation and intergration in one variable. The material will be taken from chapters 5-9 of Apostol. A less rigorous treatment is given in Math 142AB, but credit cannot be obtained for both 140AB and 142AB.

Prerequisites: MATH 140A.

Exams:
Midterm 1:  Friday, April 25 in class.      What's on the test?      Midterm 1
Midterm 2:  Friday, May 23, 3-3:50pm in APM 6402.      What's should I study?
Final: Wednesday, June 11, 3-6pm in APM 6402.       What's on the test?

Grading: Homework: 20%,   2 midterm exams: 15% each,   final exam: 50%. (The lowest homework score will not be counted. Missed exams will count zero.)

Approximate Lecture Schedule (may be updated during the course): The day after each lecture, I might write a lecture summary which can be obtained by clicking the relevant section number.

 wk  date  Monday  Wednesday  Friday
  1  3/31  4.21  4.6, 5.2-5.4.  4.22-4.23, 5.5-5.7.
  2  4/7  Dominated Convergence  5.8-5.11  5.12
  3  4/14  5.12  5.13, 5.14  6.2-6.4
  4  4/21   6.5-6.8   Review   Exam
  5  4/28  7.1-7.4  7.5  7.6
  6  5/5  7.7-7.8  7.9-7.10  7.11-7.13
  7  5/12  7.17,7.26  7.21-7.24  Lecture Postponed
  8  5/19   7.19, 7.20, 7.23   7.24-7.25, 8.12.   Exam
  9  5/26  Holiday  8.17, 8.18, 9.1  9.4,9.8
 10  6/2  9.6  8.20, 8.23, 9.10, 9.12.   some review problems
 11  6/9    6/11 Exam