Time and Place: MWF 12:30–1:20 in UNIV 219

Instructor: Arshak Petrosyan

Office Hours: MWF 11:40–12:30, or by appointment, in MATH 610

Course Description: First order quasi-linear equations and their applications to physical and social sciences; the Cauchy-Kovalevsky theorem; characteristics, classification and canonical forms of linear equations; equations of mathematical physics; study of Laplace, wave and heat equations; methods of solution.

Textbook: The main textbook for the course is

[E] L. C. Evans, Partial Differential Equations, 2nd Edition, Graduate Studies in Mathematics, 19, American Mathematical Society, Providence, RI, 2010.

Occasionally, we may also use

[J] F. John, Partial Differential Equations, 4th Edition, Applied Mathematical Sciences, 1, Springer-Verlag, New York, 1991

to supplement [E].

Homework will be collected weekly on Wednesdays (with some exceptions), at the beginning of class. No late homeworks will be accepted, however the lowest homework score will be dropped. The assignments will be posted on the Homework page at least one week prior to the due date.

Exams: There well be one midterm (evening) exam covering the first half of the course and one final exam covering the second half of the course (so the final exam is not comprehensive). The exact time and place will be specified at least two weeks in advance. The appropriate information will be posted on the Exams page.

Final Score = 0.4 ME + 0.4 FE + 0.2 HW,


where ME, FE, HW are the scores (in %) for the midterm exam, final exam, and the homework, respectively.

Academic Integrity: As a reminder, all students must comply with Purdue’s policy for academic integrity: