Math 1120 (Spring 2012)
"Partial Differential Equations"


General Course Information

Instructor: Armen Vagharshakyan
E-mail: armen[at]math[dot]brown[dot]edu
Class Times: MWF 11-12 at Sayles Hall 014
Office Hours: W 12:30-1:30 at Kassar 219

Course Resources

Course Description

Grading Scheme

Textbook:
"Partial Differential Equations: An Introduction", 2nd Edition by W. Strauss
Topics Covered:
Chapters 1(First Order PDE), 2(Waves and Diffusions), 3(Reflections and Sources), 4(Boundary Problems), 5(Fourier Series), 6(Harmonic Functions), 7(Green's Functions) will be covered. Additionally we'll talk about Perron's method.

Grading Policy:
Best 10 of 12 homework - 15%
Midterm 1 - 15%
Midterm 2 - 30%
Midterm 3 - 35%
Project - 5%


ASSIGNMENTS

Homework

Notes

Exams


Homework1 (due F, Feb 3) Some solutions
Homework2 (due F, Feb 10)
Homework3 (due noon F, Feb 17 in the mailbox)
Homework4 (due F, Feb 24)
Homework5 (due F, Mar 2)
Homework6 (due F, Mar 9) also read some of these
Homework7(due F, Mar 16) read paragraphs 5.1-5.5
Homework8 (due F, Mar 23)
Homework9 (due F, Apr 6) /shortened version/
Homework10 (due F, Apr 13)
Homework11 (due F, Apr 20)
Homework12 (due F, Apr 27)


Policies and Regulations

Teaching Calendar

Notes on the Approximation Kernel

Fejer kernel

Subharmonic functions via mean value property

Perron's method


Midterm 1 - 6pm-8pm on W, Feb 22
Midterm 2 - 6pm-8pm on W, Apr 4
Midterm 3 - 6pm-8pm on W, April 25
Project - due by F, April 27