Math 5330 (27402), Computational Methods of Linear Algebra

MW 18:00-19:20, CRBL C301

Instructor: Granville Sewell

Office hours: MTW 9-10am, BELL 200

Course Description

Prerequisites: Math 3323 and working knowledge of a high level programming language

The text is "Computational Methods of Linear Algebra, 3rd Edition," Granville Sewell, World Scientific Publishing Company, 2014

Topics covered
Topics chapter
Reference Material 0
Systems of Linear Equations 1
Linear Least Squares Problems 2
The Eigenvalue Problem 3
Linear Programming 4

Problem list may change during semester, so re-check before starting each assignment.

Homework assignments
read sections do problems date due
0.1-0.3,1.1 -- (Jan 22)
1.2-1.4 1.1,1.2*,1.4a,1.5*,1.6abc Jan 31
1.5-1.8 1.7a*b* (download TRIPER) Feb 7
1.9 1.7c*,1.13,1.14,1.16ab,1.17*(extra credit) Feb 19
Test I Chapters 0,1 Feb 19
2.1,2.2 2.1,2.2,2.4*,2.5* Feb 28
2.3,2.4,3.1 2.6ab,2.9,2.10* March 7
3.2-3.4 3.1,3.9*(extra credit),3.10ab,3.12abc March 21
3.5-3.7 3.14,3.15,3.17a*b*c*,3.21a*b* April 2
Test II Chapters 2,3 April 4
4.1,4.2,4.4 4.1abcd,4.8 April 16
4.3 4.2,4.3,4.4,4.5a*b* April 23
4.5-4.7 4.7*,4.9,4.12a,4.14,4.15 May 2
Final comprehensive ??

* = requires use of MATLAB

Download MATLAB Programs from Book

Grading Policy:

Grades
90-100% guaranteed A
80-89% guaranteed B or better
70-79% guaranteed C or better

Videos

Applications of Linear Algebra

Chapter 0 Video

Chapter 1 Video (LU decomposition)

Chapter 1 Video (Band solvers and iterative methods)

Chapter 2 Video (Least squares problem)

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)

Old Tests

Spring 2007: Test I | Test II | Final

Spring 2009: Test I | Test II | Final

Spring 2011: Test I | Test II | Final

Spring 2013: Test I | Test II | Test III

Spring 2015: Test I | Test II | Final

Spring 2016: Test I | Test II | Final

Spring 2018: Test I | Test II | Final

Solutions

First Tests

Second Tests

Final Exams

Note: Drop Deadline is March 29