2023 Spring Course Syllabus - Mathematics 4041.001

Course: Mathematics 4041.001.

Course Title: Partial Differential Equations.

Credits: 3.

How this course will be taught: In Person.

Time: TR 9:30 AM - 10:50 AM.

Place: Wachman 015.

Instructor: Mihaela Ignatova.

Instructor Office: Wachman 532.

Instructor Email: ignatova@temple.edu

Instructor Phone: Please use my email.

Course Web Page: This course uses Canvas

Office Hours: TR 11:00 AM - 12:00 PM.

Prerequisites: Math 2101 (0147) or Math 2103 (0148) or Math 3051 and Math 3051 or Math 3045 with grades of C- or higher or transfer credit for these courses.

Course Materials: Walter A. Strauss, Partial Differential Equations: An Introduction, Second Edition, John Wiley & Sons, 2008.

Course Goals: You will learn the derivations of the classical partial differential equations of mathematical physics. You will understand the initial and boundary value problems that you can pose for these equations and be able to solve them in special cases. You will also understand how to use some advanced calculus ideas to solve PDEs. These will include Hilbert spaces, orthonormal basis, and Fourier series.

Topics Covered: This course introduces students to partial differential equations, emphasizing the wave, diffusion and Laplace's equations. The focus is on understanding the physical meaning and mathematical properties of solutions of partial differential equations. Methods include fundamental solutions and transform methods for problems on the line, and separation of variables using orthogonal series for problems in regions with boundary. Convergence of Fourier series.

Course Grading: The course grade will be based on weekly homework and two take-home exams (50% + 25% + 25%). No final exam. For the weekly homework assignments, you are allowed to work in groups. But the paper you submit with your answers must be written alone, after all discussions with classmates (or others) are over. No late homework is accepted. But the lowest homework score (possibly zero) will be omitted in computing your homework average. You must work alone on the take-home exams, but are allowed to consult any book, and with me (only). For both homework and exams I will require a clean and clear presentation of your work.

Exam Dates: Due dates for take-home exams: March 2, April 27.

Attendance Policy: Attendance is required.

Attendance and Your Health: To achieve course learning goals, students must attend and participate in classes, according to your instructors' requirements. However, if you feel unwell or if you are under quarantine or in isolation because you have been exposed to the virus or tested positive for it, you should not come to campus or attend in-person classes or activities. Students have the responsibility to contact their instructors to create a plan for participation and engagement in the course as soon as they are able to do so and to make a plan to complete all assignments in a timely fashion when illness delays their completion.

Disability Statement: Any student who has a need for accommodations based on the impact of a documented disability or medical condition should contact Disability Resources and Services (DRS) in Howard Gittis Student Center South, Rm 420 (drs@temple.edu; 215-204-1280) to request accommodations and learn more about the resources available to you. If you have a DRS accommodation letter to share with me, or you would like to discuss your accommodations, please contact me as soon as practical. I will work with you and with DRS to coordinate reasonable accommodations for all students with documented disabilities. All discussions related to your accommodations will be confidential.

Academic Freedom: Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here (opens in new tab/window).

Add/Drop Policy: Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar (opens in new tab/window) for exact dates.

During the Drop/Add period, students may drop a course with no record of the class appearing on their transcript. Students are not financially responsible for any courses dropped during this period. In the following weeks prior to or on the withdrawal date students may withdraw from a course with the grade of "W" appearing on their transcript. After the withdrawal date students may not withdraw from courses. Check the University Calendar (opens in new tab/window) for exact dates. See the full policy by clicking here (opens in new tab/window).

Incomplete Policy: The grade "I" (an "incomplete") is only given if students cannot complete the course work due to circumstances beyond their control. It is necessary for the student to have completed the majority of the course work with a passing average and to sign an incomplete contract which clearly states what is left for the student to do and the deadline by which the work must be completed. The incomplete contract must also include a default grade that will be used in case the "I" grade is not resolved by the agreed deadline. See the full policy by clicking here (opens in new tab/window).

Student Support Services: The following academic support services are available to students (all links open in a new tab/window):
    The Math Consulting Center
    Student Success Center
    University Libraries
    Undergraduate Research Support
    Career Center
    Tuttleman Counseling Services
    Disability Resources and Services
If you are experiencing food insecurity or financial struggles, Temple provides resources and support. Notably, the Temple University Cherry Pantry and the Temple University Emergency Student Aid Program are in operation as well as a variety of resources from the Division of Student Affairs.