Math 414, Honours Introduction to Analysis II, Spring 2008

Overview

We will begin with Chapter 8 and and then work through most chapters consecutively. The goal is to cover up to most of Chapter 14, the Lebesgue Integral.

Textbook

The Way of Analysis, by Robert Strichartz.

Instructor

Marius Ionescu
Office: 588 Malott Hall
email: mionescu@math.cornell.edu
Office Hours: Monday 3:00--4:30pm, Tuesday 3:30--4:30pm

TA

Remus Radu
email: remusradu@math.cornell.edu
Office Hours: Wednesaday 2:30-4:30pm, 218 Malott Hall

Syllabus


Lectures and Homework

  1. Lecture 1, 01/22/08 Introduction, Syllabus, Chapter 8.1
  2. Lecture 2, 01/24/08 Chapter 8.2
    Homework 1, due 01/31/08 (Solutions) page 335 problems 5, 7, 11; page 349 problems 4, 7, 11.
  3. Lecture 3, 01/29/08Section 9.1 and begin Section 9.2
  4. Lecture 4, 01/31/08Section 9.2 (cont'd)
    Homweork 2, due 02/07/08 (Solutions) page 366 problems # 4, 9, 10, 15; page 384 # 3, 4, 7.
  5. Lecture 5, 02/05/08Section 9.2 and 9.3
  6. Lecture 6, 02/07/08Section 9.3 (cont'd)
    Homework 3, due 02/14/08 (Solutions) page 409 problems # 7, 8, 9, 15
  7. Lecture 7, 02/12/08Section 9.3 (cont'd), Section 10.1
  8. Lecture 8, 02/14/08Section 10.1 (cont'd)
    Homework 4, due 02/21/08 (Solutions) page 410 #17, page 435 #1, 2, 4, and the two problems from this file
  9. Lecture 9, 02/19/08Section 10.1 (cont'd)
  10. Lecture 10, 02/21/08Section 10.1 (cont'd), Section 10.2
    Homework 5, due 02/28/08(Solutions) page 435 #6,7,13,18; page 452 #1
  11. Lecture 11, 02/25/08Section 10.2 (cont'd), Section 11.1
  12. Lecture 12, 02/27/08Section 11.1 (cont'd)
    No homework assigned this week. I will hand in the first prelim on Thursday
  13. Lecture 13, 03/04/08 Section 11.1 (cont'd)
  14. Lecture 14, 03/06/08 Section 12.1
    Homework 6, due 03/13/08(Solutions) Page 483 # 3, 4; page 528 # 2
  15. Lecture 15, 03/11/08 Section 12.2
  16. Lecture 16, 03/13/08 Section 13.1
    No new homework assigned. Enjoy the spring break!
  17. Lecture 17, 03/25/08 Section 13.1.2
  18. Lecture 18, 03/27/08 Section 13.2
    Homework 7, due 04/03/08(Solutions) page 580 #3, #4; page 600 #1, #2.
  19. Lecture 19, 04/01/08 Section 13.2 (cont'd)
  20. Lecture 20, 04/03/08 Section 13.3, 14.1
    Homework 8, due 04/10/08 (Solutions) page 600 #5, 7,8, page 609 #4b)
  21. Lecture 21, 04/08/08 Section 14.1
  22. Lecture 22, 04/10/08 Section 14.1 (cont'd), 14.2
    Homework 9, due 04/17/08(Solutions) page 641 #3,4,5
  23. Lecture 23, 04/15/08 Section 14.2
  24. Lecture 24, 04/17/08 Section 14.3
    Homework 10, due 04/24/08(Solutions) page 642 #14 and 15, pg 668 # 2, 4.
  25. Lecture 25, 04/22/08 Sections 14.3.1, 14.3.2
  26. Lecture 26, 04/24/08 Sections 14.3.3, 14.3.4
    Last Homework, #11 page 669 #7, #10, #15
  27. Lecture 27, 04/29/08 Sections 14.3.4 and 14.4.1
  28. Lecture 28, 05/01/08 Sections 14.4.1, 14.4.2
    I will hand out the final on Thursday. Good luck!
Marius Ionescu, 06 May 2008