Math 512A: Concepts of Analysis

Math 512A

News

[12/15] Solutions to 2nd Midterm. (Please, watch for typos.)
[12/13] Final Exam Monday, December 15, 5:30pm-7:30pm
[12/3] Hints for Homework 10. They expand on what we discussed in class regarding Problems 2 and 5.
[11/16] Fixed some (minor) typos in the Study Guide. In particular, what I called the "Heine-Borel Theorem" is called "Bolzano-Weirstrass Theorem" in the textbook.
[11/15] Study guide for Second Midterm. Complement the material in this guide with textbook, class notes, and homeworks.
[11/10] I have removed some problems from Homework 9.
[10/31] When we discussed Antoine's Necklace today, some of you were amazed to learn that Antoine was blind. There have been quite a few blind mathematicians, some of which performed amazing geometric discoveries. You can read about many of them in the article The World of Blind Mathematicians by Allyn Jackson, Notices of the AMS 49 (2007), 1246-1251.
[10/27] Solutions to Homework 6 revised for typos.
[10/24] Office hours today canceled because of Math Colloquium.
[10/22] Saturday help sessions with Blake Barley are in Room JR 217 (except Nov 3rd which is SH 102). Room is reserved from 1pm to 5pm.
[10/4] Typo in Problem 3(ii) of Homework 5: it is r=(1+√5)/2
[9/30] There was a typo on 2(iii). The strict inequality "|f(x)| < |g(x)|" should be "|f(x)| ≤ |g(x)|"
[9/28] Revised version of Homework 4 is available. There was a typo in Problem 5(ii): "Prove that f ..." should read "Prove that r ...
[9/27] Solutions to Homeworks 2 and 3 are available. Links below
[9/25] I posted the wrong PDF for Homework 4. Please print the new version.(You may need to refresh your browser.)
[09/18] There was a typo on Problem 3 of Homework 3. It is now corrected. Because of that, you have until Monday 24 to turn it in.
[09/08] Hint for Problem 5(iii) Homework 2. This is really an Ahh! problem. Assume that you know that π is irrational. Think about the following questions: (1) If you write down a sequence whose terms are the digits from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, under what conditions does it converge? (2) what do you know about the decimal digit sequence of a rational number?
[08/27] Welcome to Math 512A!
[08/13] Textbook Real Analysis and Applications: Including Fourier Series and the Calculus of Variations (AMS) by Frank Morgan.
Textbook is required.
It should be available at the Campus Bookstore. If ordering on-line, please make sure to use the full title as this author has two books with similar titles (this is the long-titled one).

Homework

When Where How

Class Meets in JR 217 MW 5:30pm - 6:45pm

Office Hours: TBA

Syllabus

Contact Info

Instructor: Alberto Candel

Office: SN 430

Phone: 677-6512