Math 660/700 and /720, Computational Linear Algebra

Distance Learning Sections

Syllabus

660 Course Home Page

The text is "Computational Methods of Linear Algebra, Second Edition," Granville Sewell, John Wiley & Sons, 2005

Topics covered
Topics Sewell book
Reference Material Chapter 0
Systems of Linear Equations Chapter 1
Linear Least Squares Problems Chapter 2
The Eigenvalue Problem Chapter 3
Linear Programming Chapter 4
Fast Fourier Transform Chapter 5

Homework assignments (may change, so re-check each week)
read sections do problems date due
0.1-0.3,1.1-1.4 1.1,1.2*,1.4a,1.5*,1.14 June 4
1.5-1.7 1.8,1.12a*b* June 4
1.8 1.10,1.11,1.12c*,1.13 June 4
- 1.15,1.16* June 11
2.1,2.2 2.1,2.2,2.4*,2.5* June 11
2.3,2.4,3.1 2.7a*,2.8,2.9*,2.10 June 11
3.2,3.3 3.1,3.3,3.6*,3.9*,3.10ab June 18
3.4-3.6 3.12,3.13,3.15*,3.18 June 18
- 3.17ab*cdef*gh June 18
4.1,4.2,4.4 4.1abcd June 25
4.3 4.2,4.3,4.4,4.5*,4.11 June 25
4.5,4.6 4.7*,4.8,4.9ab*,4.10 June 25
5.1-5.3 5.1*,5.7bc*,5.9* June 29

* = requires use of MATLAB

note: problems 3.17gh and 4.9b are not in the book, but are "additional problems" found at the book web page (link immediately below). These problems are extra credit (1.16 is also extra credit).

Download MATLAB Functions from Book

Videos

Video on Applications of Linear Algebra

Chapter 0 Video

Chapter 1 Video (LU decomposition)

Chapter 1 Video (Band solvers and iterative methods)

Chapter 2 Video (QR decomposition)

Chapter 3 Video (Jacobi and QR methods for eigenvalues)

Chapter 3 Video (Power method for eigenvalues)

Chapter 4 Video (Resource Allocation Problem)

Chapter 4 Video (Artificial Variables)

Chapter 4 Video (The Dual Problem)

Chapter 5 Video (The Fast Fourier Transform)

Chapter 6 Video (Linear Algebra on Supercomputers)