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Instructor:
Malgorzata Peszynska
Class:
MWF 13:00-13:50 in ROGERS 332
Course information:
CRN 32657. Credits: 3.00.
Student preparation: I expect the students to have a solid
background in differential equations, senior level/ advanced calculus and linear algebra.
Students should contact the instructor with questions on prerequisites/preparation.
Syllabus:
This class is the second in a year-long sequence MTH 621, MTH 622,
MTH
623. In principle, each of these classes can be taken separately but
it is best if they are taken in order (for more information please contact
the instructor).
Class may be repeated for credit (use MTH 657, CRN 34184).
In Winter term I will cover the following topics:
- Weak and generalized solutions to elliptic and parabolic problems.
Distributions.
- Hilbert spaces, variational formulation and variational
calculus. Galerkin method.
- Green's function for Laplace operator in 2D and 3D.
- Weak solutions to conservation laws. Shocks, discontinuities,
entropy solutions (to be continued on Spring term).
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Textbook:
I will use material from both of the following textbooks as well as
some downloadable notes TBA.
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R. Guenther and J. Lee, Partial Differential Equations of
Mathematical Physics and Integral Equations, Dover, 1996
- W. Strauss, Partial Differential Equations, Wiley, 2nd Edition, 2008
Exams and Grading: HW counts as 40% and Exams as 30% each.
Extra credit can be assigned but it can count towards at most 10%
of the grade.
Midterm: 2/16 Monday in class (starting at 12:30).
Final Exam: Tuesday 3/17 6:00-8:00pm in classroom ROGERS 332.
Office hours for Final exam: anytime Tuesday
between 2:00-4:00 and 5:00-6:00pm.
Special arrangements for students with disabilities,
make-up exams etc.: please contact the instructor and Services for Students with
Disabilities, if relevant, and provide appropriate
documentation.
Course drop/add information is at
http://oregonstate.edu/registrar/.
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