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Instructor:
Malgorzata Peszynska
Class:
MWF 13:00-13:50 GLK 115
Course announcement:
MTH 621-657.
Student preparation: the students should have a solid
background in differential equations and real variables. Please contact the
instructor with questions.
Syllabus:
This class (3 credits) 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).
In the course we 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).
Textbook:
I will use material from the following textbook as well as
some downloadable notes TBA.
-
R. Guenther and J. Lee, Partial Differential Equations of Mathematical Physics and Integral Equations, Dover, 1996
Exams and Grading: HW counts as 40% and Exams as 30% each.
Midterm: October 23, in class.
Final Exam: Friday, Dec. 11, 2015, at 7:30am.
Office hours Finals sweek: Wed 12/9 4:00-6:00 and Thu 12/10, 12:00-2:00.
Course Outcomes: A successful student will be able to
- Provide derivation of fundamental models of physical phenomena
leading to partial differential equations of first order and
of canonical types for second order
- Find solutions to initial and boundary value problems for such
equations when a closed form is available
- Discuss well-posedness of such problems
Special arrangements for students with disabilities: please contact the instructor and Services for Students with
Disabilities prior to or during the first week of the term to discuss
accommodations. Students who believe they are eligible for
accommodations but who have not yet obtained approval through DAS
should contact DAS immediately at 737-4098.
Course drop/add information is at
http://oregonstate.edu/registrar/.
Student Conduct: All students are expected to obey to OSU's student
conduct regulations, see
OSU's Statement of Expectations for Student Conduct
. See
also
Student Conduct Code, and specifically the information about
Academic or Scholarly Dishonesty beginning on p.2. In particular,
please consult the definitions of (A) CHEATING, (C) ASSISTING, and (E)
PLAGIARISM, as well as recommended handling.
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