Section: 001 (CRN 38485)

Time and Place: MWF 11:30–12:20 in REC 123

Instructor: Arshak Petrosyan

Office Hours: MWF 10:30–11:30, 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. 3.000 credit hours.

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 (typically, 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 will 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.

Grading: Your final score will be computed according to the scheme

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:

https://www.purdue.edu/odos/academic-integrity/

Students with Disabilities: Purdue University strives to make learning experiences accessible to all participants. If you anticipate or experience physical or academic barriers based on disability, you are encouraged to contact the Disability Resource Center at: drc@purdue.edu or by phone: 765-494-1247.

In this mathematics course accommodations are managed between the instructor, student and DRC Testing Center. Students should see instructors outside class hours – before or after class or during office hours – to share your Accommodation Memorandum for the current semester and discuss your accommodations as soon as possible.

Emergencies: In the event of a major campus emergency, course requirements, deadlines and grading percentages are subject to changes that may be necessitated by a revised semester calendar or other circumstances beyond the instructor’s control. Relevant changes to this course will be posted onto the course website or can be obtained by contacting the instructor via email or phone. You are expected to read your @purdue.edu email on a frequent basis.