CRN: 38485

Time and Place: TTh 10:30–11:45am in SMTH 208

Instructor: Arshak Petrosyan

Office Hours: TTh 9:00–10:30am, or by appointment, in MATH 836

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 the following books to supplement [E]

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

[ABR] S. Axler, P. Bourdon, W. Ramey, Harmonic Function Theory, 2nd Edition, Graduate Texts in Mathematics, Springer, 2001.

Homework: There will be weekly homework assignments to be collected through Gradescope, typically due at 11:59pm on Wed. No late homeworks will be accepted, however the lowest homework score will be dropped. For more information, see Homework page.

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: You homework and exam scores will be available in Gradescope and Brightspace. 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.

Grade cutoffs: Students who get at least 97% of the total points in this course are guaranteed an A+, 93% guarantees an A, 90% an A-, 87% a B+, 83% a B, 80% a B-, 77% a C+, 73% a C, 70% a C-, 67% a D+, 63% a D, and 60% a D-; for each of these grades, it’s possible that at the end of the semester a lower percentage will be enough to get that grade.

Important dates

  • Fri, Sep 1: Last day to withdraw from a course without it appearing on record
  • Mon, Nov 27: Last day to withdraw from a course with a W (advisor authorization required)

For other important dates see Purdue Registration Calendars.

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

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

Academic integrity is one of the highest values that Purdue University holds. Individuals are encouraged to alert university officials to potential breeches of this value by either emailing integrity@purdue.edu or by calling 765-494-8778. While information may be submitted anonymously, the more information that is submitted provides the greatest opportunity for the university to investigate the concern.

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 welcome to let me know so that we can discuss options. You are also encouraged to contact the Disability Resource Center at: drc@purdue.edu or by phone at 765-494-1247.

If you have been certified by the Disability Resource Center (DRC) as eligible for accommodations, you should contact your instructor to discuss your accommodations as soon as possible. Here are instructions for sending your Course Accessibility Letter to your instructor:

https://www.purdue.edu/drc/students/course-accessibility-letter.php

Attendance Policy: This course follows Purdue’s academic regulations regarding attendance, which states that students are expected to be present for every meeting of the classes in which they are enrolled. When conflicts or absences can be anticipated, such as for many University-sponsored activities and religious observations, the student should inform the instructor of the situation as far in advance as possible. For unanticipated or emergency absences when advance notification to the instructor is not possible, the student should contact the instructor as soon as possible by email or phone. For cases that fall under the University’s excused absence regulations, the student or the student’s representative should contact or go to the Office of the Dean of Students (ODOS) website to complete appropriate forms for instructor notification. Under academic regulations, excused absences may be granted by ODOS for cases of grief/bereavement, military service, jury duty, parenting leave, or emergent medical care. Absences outside of those covered by the University’s excused class absence regulations are at the instructor’s discretion. Purdue expects each student to be responsible for class-related work missed due to an unavoidable absence. Students should contact their instructors directly to discuss the absence and opportunity to complete missed coursework. This work may be made up at the discretion of the instructor.

Mental Health/Wellness Statement: Purdue University is committed to advancing the mental health and well-being of its students. If you or someone you know is feeling overwhelmed, depressed, and/or in need of mental health support, services are available. For help, such individuals should contact Counseling and Psychological Services (CAPS) at 765-494-6995 during and after hours, on weekends and holidays, or by going to the CAPS office on the second floor of the Purdue University Student Health Center (PUSH) during business hours. The CAPS website also offers resources specific to situations such as COVID-19.

Nondiscrimination Statement: Purdue University is committed to maintaining a community which recognizes and values the inherent worth and dignity of every person; fosters tolerance, sensitivity, understanding, and mutual respect among its members; and encourages each individual to strive to reach his or her potential. In pursuit of its goal of academic excellence, the University seeks to develop and nurture diversity. The University believes that diversity among its many members strengthens the institution, stimulates creativity, promotes the exchange of ideas, and enriches campus life. For more information, please see Purdue’s full Nondiscrimination Policy Statement.

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.