Spring 2014 Course Syllabus - Mathematics 8024.001

Course: Mathematics 8024.001.
Course Title: Numerical Differential Equations II.
Time: TR 9:30-10:50.
Place: Wachman 617.
Instructor: Joshi, Sunnie.
Instructor Office: Wachman 544.
Instructor Email: sjoshi@temple.edu
Instructor Phone: 215-214-7588.
Course Web Page: https://math.temple.edu/~sjoshi/teaching.html
Office Hours: W 1:00-3:00.
Prerequisites: see course webpage.
Textbook: L.N. Trefethen, Spectral Methods in MATLAB, SIAM, Philadelphia, 2000; Randall J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, 2002.
Course Goals: This course will focus on numerical methods for ordinary and partial differential equations.
Topics Covered: Non linear Hyperbolic Conservation Laws. Finite Volume Methods. Spectral Methods. Finite Element Methods for Elliptic, Parabolic and Hyperbolic equations. Inverse Spectral Problem. Interface Problems and Level Set Method.
Course Grading: The grading will be based on Homework problems (50%) and a class project (50%). The homework problems will be due every other week. The project grade involves a midterm report (20%) and a final report (50%), and a final presentation (30%). Due dates will be announced in class.
Exam Dates: TBD.
Attendance Policy: Attendance is expected.
Other References: 1) A. Ern and J. L. Guermond, Theory and Practice of Finite Elements, Volume 159, Springer, 2004 2) L.C. Evans, Partial Differential Equations, Graduate Studies in Mathematics, V. 19, American Mathematical Society, 1998.

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• The first day of classes is Tuesday, January 21.
• The last day to drop/add (tuition refund available) is Monday, February 3.
• Spring recess is the week of Sunday, March 2 - Sunday, March 9.
• The last day to withdraw (no refund) is Tuesday, March 25.
• The last day of classes is Monday, May 5.

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