MTH 482- 582: APPLIED PARTIAL DIFFERENTIAL EQUATIONS
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General information
Assignments
General Information and Syllabus
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.