Partial Differential Equations, V3028.001 Ovidiu Munteanu, om2171@columbia.edu
Office: 607 Mathematics Building
Phone: (212) 854-3210

 Office Hours:
Class meets: Tuesday & Thursday at 1:10-2:25 PM in Mathematics 203

Course Description:
This course is an introduction to partial differential equations, emphasizing on the three classical equations: wave, heat (diffusion) and Laplace equations.
We will present the properties of these equations and techniques to analyze them. The methods which will be presented in this course include the maximum principle, fundamental solutions and transform methods for problems on the line and separation of variables, using orthogonal series, for problems  in regions with boundary.  Emphasis will be given to theory as well as applications.

Prerequisites: Calculus I-IV and ODE's.

Text: Partial Differential Equations: An introduction, by Walter A. Strauss, Second Edition.

Homework: Weekly problem sets. Drop the homework in the homework box on the 4th floor before Tuesday, 4:00pm of each week.  The lowest 2 hwk scores will be dropped at the end.

Midterm: One midterm, in class, on March 8

Final Exam: One three hour final examination at the end of the term on the date scheduled by the registrar. No exams will be given at a different date. The projected date, set by the registrar, is Tuesday May 8 from 1:10-4:00 pm.

Grading: The course grades will be computed as follows: 20% Homework, 30% Midterm and 50% Final.

TA: Graduate TA: Daniel Rubin, Office Hours Th 10-1:00 pm in 406 Math.
       Undergraduate TA's: Woo Chang Chung, Office Hours Wed 4-6:00 pm in 406 Math.
                                      Joon Ho Kang, Office Hours Wed 2-4:00 pm in 406 Math.
                                             


Schedule of lectures and homework:
Week Read Homework
Jan. 17, 19 Short review of prerequisites
1.1		 No hwk, review calculus!
Jan. 24, 26 1.2, 1.3 Hwk1, due Jan 31
1.1:  3, 11, 12
1.2:  1, 2, 3, 6, 10
Jan 31,
Feb. 2		 2.1, 2.2 Hwk2, due Feb 7
1.3:  8, 9, 10
2.1: 2, 7, 8, 9
2.2: 1, 6
Feb. 7, 9 3.2, 3.4 Hwk3, due Feb 14
3.2: 1, 9, 10
3.4: 1, 4, 6, 8, 9
Feb. 14, 16 2.3, 2.4
 Hwk4, due Feb 21
2.3: 2, 4, 6, 7
2.4: 2, 4, 9, 11, 15, 16
Feb. 21, 23 3.1, 3.3, 3.5
 Hwk5, due Feb 28
3.1: 1,2,4
3.3: 2, 3
3.5: 1, 2
Feb 28
March 1		 4.1, 4.2
 Hwk6, due March 6
4.1: 4, 5, 6
4.2: 1, 2, 4
March 6 Midterm Review,
Discuss Hwk 6
March 8 Midterm Exam Will cover
Hwk 1,2,3,4,5,6
March 20, 22 5.1, 5.3, 5.4 Hwk8, due March 27
5.1: 2, 4, 9
5.3: 2, 3, 4
5.4: 3, 7, 12, 18
March  27, 29 6.1, 6.2 Hwk9, due April 3
6.1: 2, 4, 6, 10, 11
6.2: 1, 2, 5, 7;
April 3, 5 6.3, 6.4 Hwk 10, due April 10
6.3: 1, 2, 3;
6.4: 1, 2, 6, 9, 11
April 10, 12 7.1, 7.2, 7.3 Hwk 11, April 17
7.1: 2, 4, 6, 8
7.2: 1, 2
April 17, 19 7.3, 7.4 Hwk 12,  April 24
7.3: 1, 2
7.4: 1, 3, 7, 9, 22, 23, 25
April 24, 26 Review for the Final
Final Exam  is comprehensive
It contains Hwk 1-12.