2019 Fall Course Syllabus - Mathematics 8023.001
Course: Mathematics 8023.001.
Course Title: Numerical Differential Equations I.
Time: MW 10:30-11:50.
Place: Wachman Hall 617.
Instructor: Benjamin Seibold.
Instructor Office: Wachman Hall 518.
Instructor Email: benjamin.seibold@temple.edu
Instructor Phone: 215 - 204 - 6433.
Course Web Page: https://www.math.temple.edu/~seibold/teaching/2019_8023/
Office Hours: MW 12:00-1:00.
Prerequisites: -.
Textbook: Randall J. LeVeque, Finite Difference Methods for Ordinary and Partial Differential Equations - Steady State and Time Dependent Problems, SIAM, 2007.
Course Goals: This course is designed for graduate students of all areas who are interested in numerical methods for differential equations, with focus on a rigorous mathematical basis.
Topics Covered: Many modern and efficient approaches are presented, after fundamentals of numerical approximation are established. Of particular focus are a qualitative understanding of the considered partial differential equation, high-order time-stepping approaches, fundamentals of finite difference, finite volume, and finite element methods, and important concepts such as stability, convergence, and error analysis. Particular topics: Stability, convergence, error analysis, Fourier approaches; Runge-Kutta, multistep, finite difference, finite volume, finite element methods; boundary value problems, Poisson equation and other elliptic problems, advection and transport, diffusion, wave propagation, conservation laws.
Course Grading: Homework: 33%; exams: 34%; course project: 33%.
Exam Dates: 12/12/2019.
Attendance Policy: Students are expected to attend every class. If a student cannot attend a class for some justifiable reason, he or she is expected to contact the instructor before class.
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 100 Ritter Annex (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.
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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)