MATHEMATICS 456/556
Applied Partial Differential Equations

Text:

• R. Haberman, Elementary Applied Partial Differential Equations

Instructor:

• Dr. Karl Glasner
• Office: Math 618
• e-mail: kglasner@math.arizona.edu (This is the best way to reach me)
• Office Hours: WF, 12:00-1:30pm, and by appointment
• Web: http://www.math.arizona.edu/$\sim$ kglasner/math456

Course Description:
Math 456/556 is an introduction to partial differential equations. It is intended to provide some "working" knowedge of techniques to solve, appoximate solutions to, and analyze equations.

Grading Policy:
There will be (2) regular exams, randomly collected homework, and a final. The course grade will be determined by combining performance on each as follows:

20% each mid-term (2)

30% homework

30% final

Grades will be assigned roughly as 90-100=A, 80-89=B, etc., with some possible adjustment being made as the semester progresses.

Final Exam
The final exam will be held the last regular day of classes, May 7.

Important Dates:
Jan 20: No Class
Feb. 11: Last day to drop
Mar. 15-23: Spring Break
May 7: Final Exam

Notes:

• Homework will be assigned regularly, and collected at random times.

• Make-up work, including the rescheduling of exams, is allowable only after written permission is obtained according to university policy. This applies to assignments or exams missed because of illness, family emergencies or personal problems. If written permission cannot be obtained, no credit will be given. No exceptions to this policy will be made by the instructor.

Tentative Schedule

Days	Sections	Topics
Jan 15-24 (4 lectures)	1.1-1.5	Heat Equation
Jan 27-31 (3 lectures)	2.1-2.3	Linearity, separation of variables
Feb 3-7 (3 lectures)	2.4-2.5	Separation of variables: examples
Feb 10-17 (4 lectures)	3.1-3.5	Fourier series
Feb 19-28 (5 lectures)	4.1-4.6	Vibrating strings: the wave equation
March 3	1.1-4.6	First exam
March 5-14 (5 lectures)	7.1-7.4,7.7,7.9	PDE's in higher dimensions
Mar 24 - Apr 4 (6 lectures)	6.1-6.6	Elementary numerical methods
April 7 - April 18 (6 lectures)	11.1-11.3	Green's functions
April 21	Ch. 5, 7, 11	Second Exam
April 23 - May 2 (5 lectures)	12.1-12.7	Method of characteristics
May 7		Final Exam