AMATH 352: Applied Linear Algebra and Numerical Analysis
SLN 10061, MWF 10:50-11:50, CMU 226
Tentative Office hours: Tues, Thurs 12 - 1 pm, Wed 3 - 5 pm
Analysis and application of numerical methods and algorithms to problems in the applied sciences and
engineering. Applied linear algebra, including eigenvalue problems. Emphasis on use of conceptual methods
in engineering, mathematics, and science. Extensive use of MATLAB package for programming and solution
techniques. Prerequisite: either MATH 126 or Q SCI 293.
We will use free course notes written by Ulrich Hetmaniuk in lieu of a textbook. They are posted on the
course Catalyst page. Since you do not need to purchase a textbook, it is recommended that you purchase
the student edition of MATLAB, which costs about $100 at the UW Bookstore. Free alternatives to purchasing MATLAB
are to use it in the computer lab in the Communications Building, use MATLAB remotely through a terminal
server, or use Octave. These options are detailed on the Catalyst page.
- (1) Vectors, norms, inner product
- (2) Linear spaces, subspaces, linearly independent vectors, bases
- (3) Linear functions
- (4) Matrices, range, null space
- (5) Error, condition number
- (6) QR factorization, Gram-Schmidt algorithm
- (7) Computer arithmetic, floating point arithmetic
- (8) Gaussian Elimination, LU factorization
- (9) Singular Value Decomposition (SVD)
- (10) Least-Squares problems, interpolation, data fitting
- (11) Eigenvalue problems
Schedule and Homework
All homeworks and solutions will be posted on the Catalyst page. Each assignment will
be contain a programming portion and a written portion.
|First day of classes
||Monday, June 24
|| due Friday, July 5
|| due Friday, July 12
|| due Friday, July 19
||Wednesday, July 24
|| due Friday, August 2
|| due Friday, August 9
|| due Friday, August 16
||Friday, August 23
There will be weekly homework assignments due on Fridays.
These will count for 60% of your grade. The midterm and final will each count for 20%.