Math 523a - Real Analysis

Tom Kennedy - Fall 2012

Course home page: www.math.arizona.edu/~tgk/523a/index.html

Instructor: Tom Kennedy (Professor, Mathematics)
email: tgk@math.arizona.edu
Phone: 626-0197
Office: Math 204

Office hours: will be announced in class and posted on the web.

Text(s): The text for the course is Real Analysis : Modern Techniques and Their Applications by G. Folland (second edition). I will follow it pretty closely. I expect to cover just about all of chapters 1 to 7 and maybe a few topics from the rest of the book if there is time. Some other real analysis book are listed here .

Prerequisites: An solid undergraduate course in analysis, e.g. MATH 425ab, is expected. You need to be comfortable with topology in R^n, continuity of functions on R^n, and the concepts of uniform continuity and uniform convergence. Ideally you should be comfortable with all these notions in the more general setting of metric spaces. Some familiarity with the rigorous treatment of the Riemann integral will be useful. The most important prerequisite is that you can do (and clearly explain) the proofs one typically encounters in an undergraduate analysis course.

Homework: Homework is the most important part of the course. The only way to learn mathematics is by doing it. I will give out homework sets approximately every two weeks.

Exams: There will be an in class mid-term and an in class final. The mid-term exam will also have a take home component (with no collaboration allowed).

Homework collaboration: Collaboration on homework (not the take home part of the mid-term) is allowed, provided it is really collaboration and not simply reproduction. To make this more precise, the rule is as follows. You should have worked seriously on the problem before you discuss it with others. You may then talk to each other about the problem, but anything you write down while you are talking should be thrown away or erased at the end of the conversation. In other words it is not fair to take notes while you talk to someone else and then use them to write up the solution.

Late homework: I will not accept late homework for any reason. Homework due dates are absolute. I will drop your lowest homework. Nonetheless you are strongly encouraged to turn in all the homeworks.


Grades: The course grade will be determined using the weighting:
Incompletes: I will follow the University and Departmental policies on incompletes. The only scenario I can imagine in this course that would lead to an incomplete is if a student cannot take the final exam because of illness.

Academic Integrity: Students are responsible for reading and following the University policies regarding the Code of Academic Integrity and Student Conduct:
Code of Academic Integrity
Student Code of Conduct