MATH 131C: Topics in Analysis



 

Instructor: Burt Totaro.
E-mail: totaro@math.ucla.edu.
Office Hours: 3-3:50 M and 2-2:50 F, in my office MS 6136. 

TA: Dimitrios Ntalampekos (dimitrisnt@g.ucla.edu).
TA office hour: 2:30-3:30 Th in MS 3975.

  • Lecture: MWF 11-11:50, MS 6229. Discussion: Tu 11-11:50, MS 6229.

  • Textbook: E. M. Stein and R. Shakarchi, Real Analysis, Princeton University Press (2005), ISBN 0-691-11386-6.

  • Prerequisite: Math 131B or 131BH is required.  



    Midterm Exams: We will have two midterm exams. The dates are Monday, April 18 and Monday, May 16. There will be no makeup exams.
    Final Exam: The final exam is on Tuesday, June 7, 2016 from 11:30 AM to 2:30 PM in the lecture room, MS 6229. You must take the final to pass the class! If you have a documented reason that you are unable to take the final, you will receive an Incomplete.

    Evaluation:
  • Grading: Grades will be assigned based on the higher of the following two schemes:
    10% homework + 25% first midterm + 25% second midterm + 40% final
    10% homework + 35% (best of two midterms) + 55% final
  • Course web page: http://www.math.ucla.edu/~totaro/131c.1.16s/index.html

    Review for Midterm 1.
    Review for Midterm 2.

  • Homework 1 (due April 5, 2016): page 37, exercises 2, 4, 5, 6, 7.

  • Homework 2 (due April 12, 2016): page 37, exercises 8, 9, 11, 12. Page 46, problem 1.

  • Homework 3 (due April 26, 2016): page 37, exercises 13, 16, 18, 22, 29. Page 46, problem 5.

  • Homework 4 (due May 3, 2016): page 37, exercise 28. Page 89, exercises 6, 8, 10, 11, 15.

  • UPDATED Homework 5 (due May 10, 2016): page 89, exercises 23, 24. Page 95, problem 2.

  • Homework 6 (due May 24, 2016): page 144, exercises 2, 3, 4, 10, 11, 13.

  • Homework 7 (due May 31, 2016): page 193, exercises 1, 2, 4, 5, 6, 9.



    Tentative schedule of lectures, in terms of sections in the book:
    3/28: Intro. 3/30: 1.1. 4/1: 1.2.
    4/4: 1.2. 4/6: 1.3. 4/8: 1.3
    4/11: 1.3. 4/13: 1.4. 4/15: 1.4.
    4/18: Midterm 1. 4/20: 1.4. 4/22: 2.1.
    4/25: 2.1. 4/27: 2.1. 4/29: 2.2.
    5/2: 2.2. 5/4: 2.3. 5/6: 2.3.
    5/9: 2.3. 5/11: 2.4. 5/13: 3.1.
    5/16: Midterm 2. 5/18: 3.1. 5/20: 3.3.
    5/23: 3.3. 5/25: 3.3. 5/27: 4.1.
    5/30: Memorial Day holiday. 6/1: 4.2. 6/3: Review.