MATH 4403/5403 (Fall 2020)

Syllabus Numerical Linear Algebra- II

MATH- 4403/5403

Fall 2020

Instructor: Dr. Tulin Kaman
Email: tkaman@uark.edu
Office: SCEN 218
Office Hours: MWF 1:00 PM – 2:00 PM or by appointment
Lecture: MWF 9:40 AM – 10:30 AM in SCEN 201

Textbook: There is no required textbook for this class. Here is the list of references:

  • Matrix Computations, 4th edition, G. H. Golub and C.Van Loan. Johns Hopkins, 2012.
  • Numerical Methods for Large Eigenvalue Problems, Y. Saad. SIAM, 2011.
  • Iterative Methods for Sparse Linear Systems, Y.Saad. SIAM, 2003.
  • Y. Saad’s books are posted (free download) www.cs.umn.edu/~saad/books

Course Description: The course provides an in-depth understanding of algorithms for solving large sparse eigenvalue problems and large sparse linear systems. Computational complexity and convergence properties of algorithms are analyzed for problems with large sparse matrices arising in science and engineering applications.

Prerequisites: MATH 4353/5393 Numerical Linear Algebra or department consent

Course Outline: The detailed weekly schedule will be posted on Blackboard.
Background in Numerical Linear Algebra-I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Solving Large Sparse Eigenvalue Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Solving Large Sparse Linear Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Grading: The performance assessments will be based on
Homework assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 %
Exam #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 %
Exam #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 %
Term Project . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 %
Grades are assigned according to the percentage scale A  90, B  80, C  70, D  60, F < 60.

Homework: The homework assignments may include a mix of programming and theoretical questions. Homework problem sets with due dates will be posted on blackboard. Late homework will not be accepted. You are encouraged to talk to other students on problems, but you must submit your own solutions.

Exams: There will be two exams at class time. The two in-class exams are tentatively scheduled. The schedule may change and the changes will be announced in class and on blackboard. No make-up examinations will be given except to participate in a university-approved activity.

Project: The term projects will be on the use of the sparse matrices and their techniques in application areas. You can write a comprehensive survey of a subject or a paper on the use of methods in your own research. On the last week of the semester, everyone will present (20min) his/her project.
Important Dates:
Exam #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Wednesday, October 7, 2020
Exam #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Wednesday, November 25, 2020
Final Exam . . . . . . . . . . . . . . . . . . . . . . Wednesday, December 16, 2020. 10:15 PM to 12:15 PM (as listed in UAConnect)

Academic Integrity Policy: Cases of suspected academic dishonesty are referred to the All University Academic Integrity Board for adjudication and will also incur a grade sanction at the discretion of the instructor. The following passage is quoted from the referenced website and is the policy in this course: As a core part of its mission, the University of Arkansas provides students with the opportunity to further their educational goals through programs of study and research in an environment that promotes freedom of inquiry and academic responsibility. Accomplishing this mission is only possible when intellectual honesty and individual integrity prevail. Each University of Arkansas student is required to be familiar with and abide by the University’s Academic Integrity Policy which may be found at http://honesty.uark.edu/policy/index.php
There are harsh penalties for violations as prescribed by the Sanction Rubric http://honesty.uark.edu/ sanction-rubric Students with questions about how these policies apply to a particular course or assignment should immediately contact their instructor.

Classroom Etiquette: Students and instructors each have an important role in maintaining a classroom environment optimal for learning, and are expected to treat each other with respect during class, using thoughtful dialogue, and keeping disruptive behaviors to a minimum. Both students and faculty perceive abusive language directed towards others as the most disruptive behavior. Other behaviors that can be disruptive are chatting and whispering during class, the use of smartphones or laptops for texting or in other ways unrelated to the course, preparing to leave before class is over, and consistently arriving late to class. Inappropriate behavior in the classroom may result in a request to leave the class and/or a referral to the Office of Academic Integrity and Student Conduct.

Disability Act: If you have a physical, psychological, medical or learning disability that may impact your ability to carry out assigned course work, I would urge you to contact the staff in the Division of Student A ffairs, Center for Educational Access cea.uark.edu, 209 ARKU, who will review your concerns and determine with you what accommodations are necessary and appropriate. All information and documentation of disability are confidential.

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