# Math 205C Homepage, Spring 2016-2017

### Real Analysis

Office: 383M

Phone: 723-2226

E-mail: andras "at" math.stanford.edu

Tentative office hours: M 2:30-3:30, W 2-3, Th 2:30-3:30.

#### No office hour on Monday, April 10, Monday, April 24 and Monday,
May 8.

Class location: MWF 10:30-11:20am, Room 381U.

####
The class will not meet on Friday, April 7 (qual!), Friday, April 21 and Monday, April
24.

### There will be makeup lectures on Wednesday, April 12, Monday,
April 17, Wednesday, April 26, Monday, May 1 and Friday May 19, each running for about half an hour extra after regular
classtime in the regular room.

Course assistant: Christos Mantoulidis

Office: 381-K

E-mail: c.mantoulidis "at" stanford.edu

Tentative office hours: M,F 3-5pm, W 4-6pm.

### No office hours on
Friday, April 28, Monday and Wednesday May 1 and 3.

Textbook:
The course is based on
Richard Melrose's
lecture notes, especially Chapters 2, 5 and 6, and additional
material supplied by the instructor. These include the introduction and the basic microlocal
analysis part of the instructor's notes, though this course will
be mostly closer to Melrose's notes. We also cover the stationary
phase lemma. Volume 2, Chapter 7, of Michael Taylor's PDE
book, and Volume 3, Chapter 18, of Hörmander's PDE book are additional references.

This is a beginning graduate microlocal analysis class.
The knowledge of functional analysis
and Fourier analysis at the level presented earlier in the Math 205 sequence is
important as the background.
We cover pseudodifferential
operators, their use in elliptic and hyperbolic partial differential
equations, wave front sets, oscillatory
integrals and the stationary phase lemma, and integral transforms.

Grading policy: There will be a few homeworks which must be handed in.

The homework will be due either in class or by 10am 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.

### Problem Sets: