Math 2030 Spring Semester 2018

Iterative Methods for Linear and Nonlinear Systems
MWF 9:00-9:50, 227

524 Thackeray Hall

Office Hours

MWF 2:00 - 3:00, and by appointment
Office: Thackeray 606
Phone: (412) 624 5681

Content: The course is intended to present aspects of the numerical solution of three basic problems of linear algebra: the solution of linear systems of equations, linear least squares problems, and algebraic eigenvalue problems. We shall develop algorithms for these problems and study their properties with respect to finite precision arithmetics.

Topics to be covered: Conditioning and stability of numerical algorithms, Linear least squares problems, Direct and iterative methods for linear systems, Eigenvalue problems.

Computer assignments will use Matlab, software produced by The MathWorks. The Matlab language provides extensive library of mathematical and scientific function calls entirely built-in. Matlab is available on Unix and Windows in the university computing labs. The full set of manuals is on the web in html and also in Adobe PDF format. The "Getting Started" manual is a good place to begin and is available both in html format and in Adobe PDF format. The full reference manual as well as manuals for each of the many toolboxes are all available.

Textbook: Iterative methods for linear and nonlinear equations, by C.T. Kelly, SIAM.

Additional references:
  • Numerical Linear Algebra, by Lloyd Trefethen and David Bau, SIAM.
  • Iterative Solution Methods, by Owe Axelsson, Cambridge.

  • Homework Assignments

    Disability Resource Services

    If you have a disability for which you are or may be requesting an accommodation, you are encouraged to contact both your instructor and Disability Resources and Services, 140 William Pitt Union, 412-648-7890 or 412-383-7355 (TTY) as early as possible in the term. DRS will verify your disability and determine reasonable accommodations for this course.

    Academic Integrity

    Cheating/plagiarism will not be tolerated. Students suspected of violating the University of Pittsburgh Policy on Academic Integrity will incur a minimum sanction of a zero score for the quiz, exam or paper in question. Additional sanctions may be imposed, depending on the severity of the infraction. On homework, you may work with other students or use library resources, but each student must write up his or her solutions independently. Copying solutions from other students will be considered cheating, and handled accordingly.

    Statement on Classroom Recording

    To address the issue of students recording a lecture or class session, the University’s Senate Educational Policy Committee issued the recommended statement on May 4, 2010. “To ensure the free and open discussion of ideas, students may not record classroom lectures, discussion and/or activities without the advance written permission of the instructor, and any such recording properly approved in advance can be used solely for the student’s own private use.”