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Instructor:
Malgorzata Peszynska
Class:
MWF 13:00-13:50 STAG 107
Course information:
CRN 32406 ( MTH 622 )
CRN 36819 ( MTH 657 ).
Credits: 3.00.
Student preparation: the students should have a solid
background in differential equations, senior level/ advanced calculus
and linear algebra. Most students will have taken 621 or a similar
course but it is possible for a student to enter 622 without 621
(please contact me in such a case or with any other questions).
Syllabus:
This class is the second 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 36819).
In the course we will cover the following topics:
- Properties of solutions to elliptic and parabolic problems, Green's
functions, maximum principle(s).
- 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.
- Integral equations (if time allows. Otherwise, to be continued in 623)
Textbook:
I will use material from the following textbook as well as
some downloadable notes TBA.
Exams and Grading: HW counts as 40% and Exams as 30% each.
Midterm: 2/20
Final Exam: scheduled for Monday March 19 at noon)
Course Outcomes: A successful student will be able to
- Provide qualitiative analysis for classical and weak solutions of
boundary and intial boundary value problems when such analysis is
possible
- Derive the weak and classical form of differential equations
from first principles such as the minimization of energy
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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