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Math 602, FALL 2008

Methods and Applications of Partial Differential Equations

Instructor: Prof. Jean-Luc Guermond, 507C Blocker
Office Hours: F 08:30-09:30
Class Times: MWF 12:40-13:30
Location: BLOC 161

Course Description:

Classification of linear partial differential equations of the second order. Method of characteristics and first-order equations. Fourier series, orthogonal functions, applications to partial differential equations; special functions, Sturm-Liouville theory, application to boundary value problems' introduction to Green's functions, finite Fourier transforms. Prerequisites: MATH 601 or MATH 308 and 407.

Course Outline:

The Laplace equation
The heat equation
Separation of variables
Fourier Series
Wave equation
Method of characteristics and first-order equations (nonlinear conservation laws)
Eigenvalue problems
Higher dimensional PDEs

Textbook:

Applied partial differential equations (Richard Haberman, 4th edition)

Web Page: http://www.math.tamu.edu/~guermond/M602_FALL_2009

Exams:

Two midterm exams and one final exam:
Midterm: Sept, 21th Monday 12:40-13:40
Midterm: October, 26th Monday 12:40-13:40
Final: Dec 14th, Monday, 10:30-12:30

Grading Policy:

30% will be determined by the homework assignments (assignments turned in late not accepted).
20% will be determined by the midterms and 30% by the final exam.

Your MINIMUM grade will be A, B, C, or D, for averages of 90%, 75%, 60%, or 45%, respectively.

Make-ups:

Students must make arrangements in advance if they expect to miss an exam.
Exam absences due to recognized University-related activities, religious holidays,
verifiable illness, and family/medical emergencies will be dealt with on an individual basis.
In all cases of absence from exams a written excuse is required.
Ignorance of the time and place of an exam will not be accepted as an excuse for absence.

Students with disabilities:

Students with disabilities and special needs are referred to the office of support services.
The office will then notify me about the details and special arrangements that should be made.
If you believe you have a disability requiring an accommodation,
please contact Disability Services, in Cain Hall, Room B118, or call 845-1637.
More information about Disability Services can be obtained from their website.