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Instructor:
Malgorzata Peszynska
Class:
MWF 13:00-13:50 GLK 104
Course information:
CRN 12873. 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 first one 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.
May be repeated for credit (use MTH 657, CRN 14051).
In the course I will cover the following topics:
- Origins and applications of mathematical models of diffusion and
wave equation, mechanical vibrations, and flow and transport models.
Models of other phenomena where PDEs and IE are used. Initial and
boundary value problems for these equations. We will study
mostly linear problems but introductory material on nonlinear problems
will be also developed as time permits.
- Properties of solutions, analytical expressions whenever
available, (some) separation of variables, Fourier techniques, Green's
functions, maximum principle(s).
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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.
Midterm: 11/7/08 in class.
Final Exam: Tuesday, Dec. 9, at 9:30am.
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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