Instructor:
Malgorzata Peszynska
[Office hours: please check Instructor's homepage.]
CANVAS link
Class:
MWF 9:00-9:50 MLM 234
Course information:
Credits: 3.00.
Course content:
- Partial differential equations of second order: heat and wave
equation, Laplace equation.
- Partial differential equations of first order and transport models.
- Boundary value problems and initial boundary value problems.
- Techniques of solution: separation of variables, Fourier series,
transform methods, method of characteristics.
Student preparation: good background in differential equations
(MTH 256 or equivalent) is required. Formal prerequisites include MTH
480 or MTH 481/581, or instructor approval.
Exams and Quizzes: There will be three exams: two in-class
midterms (MIDTERM 1 on Friday, 1/30, and MIDTERM2 on Friday, 2/20), and a
Final Exam (Wed 6:00pm in Finals week). Each exam will count as 100
points. There will be a quiz or an exam after each block of material
(announced in advance on class website), and 4-6 quizzes should be
expected. The (total) quiz grade will count as 100 points, and it will
be equivalent to one exam grade. One lowest quiz score will be
excluded from the total quiz grade. There will be no make-up quizzes.
Grading: will be based on exams and quizzes. Homework will be
assigned but not collected. Homework problems and class examples will
be the basis for quizzes and exams. One lowest exam (or total quiz)
score will be dropped, and the class grade will be determined from
this total of maximum 300 points. There will be no make-up exams. If
you have some unusual circumstances which can be documented and which
may affect adversely your class attendance and your grade, and please
contact the Instructor to make special arrangements.
Textbook and materials:
William E. Boyce, Richard DiPrima,
Elementary Differential Equations and Boundary Value
Problems, 10th Edition, Wiley. [We will focus mostly on Chapters
10 and 11.]
We will also use materials from other textbooks and class handouts.
In particular, we will use
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
Course Learning Outcomes:
A successful student who completed
MTH 482 will be able to
- Classify partial differential equations (PDEs) and list
appropriate solution and transformation techniques for selected PDEs.
- Apply method of characteristics to the selected first order linear
and quasilinear PDEs.
- Construct Fourier series formally for a given function and follow
convergence theory for these. Apply Fourier series to solve selected
two-point boundary value problems.
- Use separation of variables to solve selected PDEs: the heat,
wave, and Laplace equations, under appropriate boundary and initial
boundary value problems.
A successful student who completed MTH 581 will be able to
- Classify partial differential equations (PDEs), and choose, for
selected PDEs of canonical type, the most appropriate solution and
transformation techniques.
- Solve first order linear and selected quasilinear PDEs using the
method of characteristics.
- Solve selected two-point boundary value problems using Fourier
series; construct Fourier series for a given function and determine
its convergence.
- Use separation of variables to solve selected (PDEs): the heat,
wave, and Laplace equations, under appropriate boundary and initial
boundary value problems.
Course drop/add information is at
http://oregonstate.edu/registrar/.
Special arrangements for students with disabilities: please contact
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
Academic or Scholarly Dishonesty link.
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