Math 205B Homepage, Winter 2014-2015

Real Analysis

Instructor: András Vasy

Office: 383M

Phone: 723-2226

E-mail: andras "at"

Tentative office hours: TW 10:30-11:30, Th 2-3.

No office hour on Monday-Wednesday, March 9-11. In addition, the Thursday, March 12, office hour is shifted to 3-4pm. In addition, office hours will be held on Friday, March 6, 10:30-11:30am and 3:15-4:15pm.

Class location: MWF 12-12:50pm, Room 380-380W.

The instructor will be away MW March 9,11, so there will be no lectures then. Make-up lectures will be on Friday, Feb 20, and Friday, Feb 27, 3:15-4:05pm, in 380F.

Course assistant: Gergely Szűcs

Office: 381B

E-mail: gergelys "at"

Tentative office hours: M 2-3:30, T5-8, W 1:30-3

Textbook: Reed and Simon: Functional Analysis (volume 1 of `Methods of Mathematical Physics')

On reserve at the library: Peter Lax: Functional Analysis and Royden: Real Analysis (Royden's book is on permanent reserve).

The syllabus will be posted here.

The second quarter of the graduate real analysis sequence covers functional analysis. We will use Reed and Simon's Functional Analysis (volume 1 of `Methods of Mathematical Physics'), quickly covering Chapter 1 as background (except the measure theory part, which was covered in 205A), and start with Chapter 2 (Hilbert spaces). We cover Banach spaces, topological spaces, locally convex vector spaces, bounded operators and the spectral theorem.

Grading policy: The grade will be based on the weekly homework (30%), on the two midterm exams (35% each). The first midterm will be in-class, while the second one will be take-home, due around March 5th (to be decided).There is no final exam.

The take-home midterm 2 is now available.

It is due in class, on Friday, March 6.

Midterm 1 is on Monday, February 9, starting at 11:55am, in 380W, running for 70 minutes.

The midterm covers chapters I-III of the text, i.e. through the Banach space results.

A practice midterm with solutions is available.

The homework will be due either in class or by 9pm in the instructor's mailbox on the designated day. You are allowed to discuss the homework with others in the class, but you must write up your homework solution by yourself. Thus, you should understand the solution, and be able to reproduce it yourself. This ensures that, apart from satisfying a requirement for this class, you can solve the similar problems that are likely to arise on the exams.

Not-So-Recent Real Analysis Quals

Problem Sets