Spring 2015 Course Syllabus - Mathematics 8014.001
Course: Mathematics 8014.001.
Course Title: Numerical Linear Algebra, II.
Time: TR 5:30-6:50.
Place: 527 Wachman Hall.
Instructor: Szyld, Daniel B.
Instructor Office: 506 Wachman Hall.
Instructor Email: daniel.szyld@temple.edu
Instructor Phone: 215-204-7288.
Office Hours: by appointment.
Prerequisites: Undergraduate Linear Algebra. Basic concepts of numerical analysis. Knowledge of some programming, such as Matlab would be helpful.
Textbook: ITERATIVE METHODS FOR LINEAR SYSTEMS: THEORY AND APPLICATIONS BY MAXIM A. OLSHANSKII AND EUGENE E. TYRTYSHNIKOV. SIAM, 2014.
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, class participation. Thirty percent: final exam.
Exam Dates: Midterm: Tuesday March 17. Final: Thursday April 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.
Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.
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Students will be charged for a course unless dropped by the Drop/Add deadline date given below.
During the first two weeks of the fall or spring semester or summer sessions, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.
The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.