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Math 5414: Partial Differential Equations

Index 89313
MW 4:00-5:15, McB 318


Instructor: Michael Renardy (
Office: McBryde 406 (Phone: 1-8001)
Office Hours: 3-4 pm MWF.

An Introduction to Partial Differential Equations, by M. Renardy and R.C. Rogers, Springer, New York, 2nd ed. 2004.

4000 real analysis.

Educational Objectives:

This class is intended to prepare students for working with partial differential equations at the research level. We shall cover the middle part of the book. Topics include distributions, and introduction to functional analysis and Sobolev spaces. The course will continue into a second semester, which will cover elliptic boundary value problems, evolution equations and semigroup theory.

Homework and Grade:
Grades will be based on graded homework problems. Written solutions will be provided for all homework problems. Solutions and grades will be posted on Canvas. The following is a list of problems which will be collected and graded and dates when they are due:

  • 5.1 (9/13): 2,5,8,11,17.
  • 5.2 (9/18): 22,23,24,28.
  • 5.3 (9/25): 33,36,41,44.
  • 5.4 (10/4): 46,48,50,52.
  • 5.5 (10/11): 57,58.
  • 6.1 (10/18): 6,7,9,13.
  • 6.2 (10/23): 17,19,21,22.
  • 6.3 (11/13): 27,29,30,31,34.
  • 7 (11/27): 1,4,13,18,21.
  • 8.1 (12/6): 2,3,7,11.
  • 8.2 (12/11): 13,15,16.
  • 8.3 (12/13): 18,19.

    Virginia Tech Honor System Information

    IMPORTANT: Please check your schedule which comes out after the last add date. If you are not registered for this course or if you are registered incorrectly, please find a wizard who will fix the problem. Your instructor is not a wizard. Students who are not registered cannot receive a grade. Students who are registered for credit and do not turn in any work will receive NG grades (which count as Fs), even if they did not intend to be registered for credit.

    If you need adaptations or accommodations because of a disability (learning disability, attention deficit disorder, psychological, physical, etc.), if you have emergency medical information to share with me, or if you need special arrangements in case the building must be evacuated, please make an appointment with me as soon as possible. My office location and hours are as above.

    Mathematics Department
    Virginia Polytechnic Institute & State University