2018 Spring Course Syllabus - Mathematics 8014.001
Course: Mathematics 8014.001.
Course Title: Numerical Linear Algebra, II.
Time: MW 10:30 - 11:50.
Place: Wachman Hall 527.
Instructor: Daniel B. Szyld.
Instructor Office: Wachman Hall 506.
Instructor Email: daniel.szyld@temple.edu
Instructor Phone: 215 204 7288.
Office Hours: MW 1:00-2:30.
Prerequisites: Undergraduate Linear Algebra. Basic concepts of numerical analysis. Knowledge of some programming, such as Matlab would be helpful.
Textbook: Iterative Methods for Sparse Linear Systems, by Yousef Saad, Second Edition, SIAM Press, Philadelphia, 2000, ISBN 0-89871-534-2 (pbk.). Available at a large discount to Temple students from the publisher at SIAM, 3600 Market St., Philadelphia. (9:00-4:45 M-F).
Course Goals: Theory and implementation issues of iterative methods for the solution of large linear systems, especially those arising from the discretization of differential equations.
Topics Covered: Krylov subspace methods. Variational formulations for symmetric and nonsymmetric problems. Convergence estimates. Relations to orthogonal polynomials. Preconditioning techniques. Incomplete factorizations. Multigrid. Domain Decomposition.
Course Grading: Seventy percent: homeworks, midterm, exams, quizzes, projects. Thirty percent: final exam or final project.
Exam Dates: Wednesday February 21 and Wednesday March 28. Final Exam: Friday May 5, 10:30.
Attendance Policy: Students are expected to attend every class. If the student cannot attend a class for some justifiable reason, he or she is asked to contact the instructor before class if at all possible.
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