# MTH 418 Matrix Analysis

##### Fall 2009 - Course Webpage

James Baglama
Office: Lippitt Hall 101A
Department of Mathematics
Phone: 401.874.4412
Email: jbaglama@math.uri.edu

 The digital image of the car produces a 297 x 425 matrix. The matrix can be represented as a sum of rank one matrices. Using the Singular Value Decompostion (SVD) we can approximate the original matrix. This can be thought of as an image compression. The car WAS mine, many years ago. It was a 1997 camaro SS.

 Projects Course Materials Goals Students with Disabilities

Course Material

Text:
Matrix Analysis for Scientists and Engineers
by Alan J. Laub
Publisher: SIAM: Society for Industrial and Applied Mathematics (December 1, 2004)
ISBN-10: 0898715768
ISBN-13: 978-0898715767

Software:
Octave is need (i.e. required) for this course. Octave is a high-level language interface, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically. Octave is very similar to MatLab, but it is FREE. More details will be provided in class.

Online Lecture Notes:
I will be providing detailed lecture notes for some topics. You will be able to download notes as a pdf file from within Sakai. I may also post compute codes in Sakai thatyou can use for your assignments/projects.

Homework

Homework will be assigned after each section. A list of homework problems will be provided in class and also posted on the web. Do NOT email your homework to me! Homework must have your name and list of problems assigned. Very little tolerance is given to messy homework. If I cannot read it or follow the solution, then it is marked incorrect. I will not accept ANY late or incomplete homework assignments.

Goals

The primary aim of MTH 418 is to gain an adequate understanding of matrix theory and linear algebra so that we can use the concepts in applications. We will study vector spaces, linear transformations, singular value decompositions, least squares, linear equations, eigenvalues, canonical forms, QR decmpositions, and linear differential equations. Some applications will involve GPS and web searching.

 2 Exams 80 pts each 160 pts Homework 168 pts 3 Projects 150 pts Total points: 478 pts
Grade is determined by summing up your points and dividing by the total number of points.
A..100%-90%       B..89%-80%       C..79%-70%       D..69%-60%       F..59%-0%
+/- Grades may be given for borderline percentages.

Projects

There will be several projects that use the concepts in the course to solve different applications. The goals of the projects are to use the concepts to solve real life applications. You can work in groups, no more than five students per group. You must use a computer software system to solve these applications. Octave is very easy to use and is free. You can also use Maple and Matlab. You can NOT use a graphing calculator, excel, or code written by someone who is not in your group. Projects will be posted on the web. All projects must be submitted through Sakai. We will be using the dropbox tool in Sakai. Do NOT email the projects to me! Projects must have a list of all the names of your group. I will not accept ANY late or incomplete projects.

Students with Disabilities

Any student with a documented disability should contact your instructor early in the semester so that he or she may work out reasonable accommodations with you to support your success in this course. Students should also contact Disability Services for Students: Office of Student Life, 330 Memorial Union, 874-2098. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.

Sakai

Sakai is being used in part to teach this course. That means you should become familiar with using Sakai. You can access Sakai at the following web address: https://sakai.uri.edu/portal/ Use your e-campus id or your 9-digit URI student number and your @mail.uri.edu email password.

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