Analysis II (Math 131B), Fall 2017

MacQuarrie Hall 234, MW 1:30-2:45pm (Sec. 01, code 45942)

Last update of this page: Sat Dec 09, 4:40pm

Announcements:

FUA (Frequently Used Acronyms):

In the box below are some acronyms that I use all the time, both in class and when grading your work. You are welcome to use them as well.

(list of Frequently Used Abbreviations)

Administrative handouts:

Course greensheet, Information sheet.

Course notes:

Course mechanics: Homework in Math 131B, Writing proofs, Outlines in Math 131B.

Course content: First examples of Fourier Series, Review of Analysis I. The five NOs, Still NO for DQ2 and QD1, Lebesgue integration, Space of continuous functions is not complete, Dirac kernels, Cesaro sums.

Topics for exams:

Exam 1, Exam 2, Exam 3, Final exam.

Sample exams:

Exam 1, Exam 2, Exam 3, Final exam.

Problem sets:

HW New definitions Outline due Completion due Last revision due Problems to be turned in
PS01 1.1, 1.2, 2.1, 2.2, 2.3, 2.4. n/a Wed Aug 30 Wed Sep 20 1.1.2, 2.1.5, 2.2.3, 2.3.2, 2.3.5, 2.4.4, 2.4.9.
PS02 2.5, 3.1, 3.2. n/a Mon Sep 11 Wed Oct 18 2.5.2, 3.1.2, 3.1.4, 3.1.6(b), 3.1.12, 3.2.4, 3.2.6.
PS03 3.3, 3.4, 3.5, 4.1. Wed Sep 13 Wed Sep 20 Wed Oct 18 3.3.2, 3.3.3(d,e), 3.4.3, 3.4.4, 3.4.6, 3.5.2, 4.1.1.
PS04 4.2, 4.3, 4.4, 4.5. Wed Sep 27 Mon Oct 02 Wed Oct 18 4.2.1, 4.3.4, 4.3.5, 4.4.1, 4.5.1, 4.5.3, 4.5.4.
PS05 4.6, 5.1, 5.2, 5.3, 6.1, 6.2. Wed Oct 04 Mon Oct 09 Mon Nov 20 4.5.6, 4.6.2, 5.1.3, 5.3.3(b,c), 6.1.2, 6.2.3, 6.2.5.
PS06 6.4, 7.1, 7.2. Wed Oct 11 Wed Oct 18 Mon Nov 20 6.4.1, 6.4.4, 7.1.3, 7.1.6, 7.1.7, 7.2.4, 7.2.5.
PS07 7.3, 7.4, 7.5. Wed Oct 25 Mon Oct 30 Mon Nov 20 7.3.1, 7.3.4, 7.3.5, 7.3.8 (not 7.3.6), 7.4.3, 7.5.1, 7.5.4.
PS08 7.6, 8.1, 8.2. Wed Nov 01 Mon Nov 06 Mon Dec 18 7.6.2, 7.6.4, 7.6.5, 8.2.1, 8.2.2, 8.2.5, 8.3.1.
PS09 8.3, 8.4, 8.5.1, 8.5.3, 8.5.6. Wed Nov 08 Mon Nov 13 Mon Dec 18 8.3.2, 8.3.3, 8.4.1, 8.4.3, 8.4.6, 8.5.2, 8.5.5.
PS10 9.1, 9.3, 10.1. Wed Nov 15 Mon Nov 27 Mon Dec 18 9.1.1, 9.3.2, 9.3.4, 10.1.2, 10.1.4, 10.1.5, 10.1.6.
PS11 10.2, 10.3, 10.4. Wed Nov 29 Mon Dec 04 Mon Dec 18 10.2.3, 10.2.4, 10.2.5, 10.2.7(a), 10.3.1, 10.3.4, 10.3.6.
PS12 11.1, 11.2, 11.3. Wed Dec 06 Mon Dec 11 Mon Dec 18 10.4.1, 11.1.1, 11.1.4, 11.2.2, corrected version of 11.3.3(b,c), 11.3.6, 11.3.10.

Reading assigned in course:

From textbook: 1.1-1.2, 2.1-2.5, 3.1-3.5, 4.1-4.6, 5.1-5.3, 6.1-6.4, 7.1-7.6, 8.1-8.4, 8.5.1, 8.5.3, 8.5.6, 9.1, 9.3, 10.1-10.4, 11.1-11.3.

Further topics:

Here are some possibilities for further study after this class, grouped into three categories, along with links or suggested reading that should give you an idea of what the topic is like. (For master's students: Most of these topics would make good master's theses projects.)
  1. More theory

  2. Practical applications

  3. Less practical applications

Other useful links: