Xinfeng Liu
Email:
xfliu@math.sc.edu
Phone: 576-5849
Office Location: LC 317Q
Office Hours: TTH 1:00PM-2:30PM or by appointment
Syllabus
Homework
Reference Textbooks: Numerical Linear Algebra,
3rd Edition, by Lloyd N. Trefethen and David Bau.
Prerequisites: Math 554 or equivalent upper level undergraduate course in real analysis.
Course Content: This course will tentatively cover the topics that include:
vectors and matrices; QR factorization; conditioning and stability; solving systems of equations; eigenvalue/eigenvector problems; Krylov subspace iterative methods; singular value decomposition.
One of the basic objecives of this course is to acquaint students of science and
engineering with capabilities of using computers for solving numerical linear algebra problems that
arise in their professions. Another objective is to provide students an opportunity to
hone their skills in computer programming and problem solving.
Learning Outcome:
Students are expected to master mathematical algorithms for matrix computatition along with programming skills, and apply numerical algorithms
that they learn from this course to solve a great
variety of problems arising from phyiscal/engineering sciences. In addition,
the students are also expected to be prepared to evaluate and judge the accuracy of
the numerical results with computer algorithms.
Reading: Reading the reference textbooks
in advance of the lecture is strongly
encouraged. Benefits of this preparation include obtaining a familiarity with the terminology and
concepts that will be encountered (so you can distinguish major points from side
issues), being able to formulate questions about the parts of the presentation that
you do not understand, and having a chance to review the skills and techniques
that will be needed to apply the new concepts.
Homework:
Homework will be assigned and
will be collected regularly (generally on Thursdays).
Late homework will not be accepted, and no make-ups for missing homework.
One lowest homework will be dropped for the final grade calculation.
Exams: There will be two midterm exams and one comprehensive final exam.
Tentative dates for exams are:
Exam 1: Thursday, Feb. 12, 2015
Exam 2: Thursday, March 19, 2015
Final Exam: Monday, May 4, 12:30 PM - 3:00 PM
The exams are "closed book": no books, no notes, no
calculators, no labtop computer or equivalent technology, etc.
There are no early exams. A make-up exam is only possible for
written legitimate documented reasons of illness, family emergency, or participation
in a University sponsored event.
Grades:
| Exam 1 |
20% |
| Exam 2 |
20%
|
| Final Exam |
35%
|
| Homework |
25%
|
| Total |
100%
|
A straight scale will be used
so that A's, B's C's and D's correspond to the percent ranges 100-90,
90-80,
80-70 and 70-60 respectively. Plus grading will be used. For example:
| 90-100:A |
86-89: B+ |
80-85: B |
76-79: C+ |
| 70-75: C |
66-69: D+ |
60-65: D |
0-59: F |
Attendance: Attendance at every class meeting is important - and expected. Students missing
more than 10% of the class meetings (4 days) can have their grade lowered.
Cell Phone Policy:
Please remember to turn off or silence your cell phone prior to class. No texting
allowed during class. Computers can only be used to make notes, and playing computer games
during class is not tolerated.
Class Files: Check on Blackboard
Academic Dishonesty: Cheating and plagiarism in any form is not tolerated.
If a student is caught cheating, I will follow the guidelines as set
forth in the USC Honor Code and other University guidelines.