MTH 418 Matrix Analysis

Fall 2011 - 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

Homework

Exams and Grade Evaluation

Goals

Sakai

  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. All of the laptops in Lippitt 205 have Octave installed. 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 within the Sakai course shell. I may also post computer codes in Sakai that you can use for your assignments/projects.


 

Homework

Homework will be assigned for section of the textbook we cover. 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
  • list of problems assigned
  • complete solution (answers only will be given no credit)
  • multiple pages stapled
Very little tolerance is given to messy homework. If I cannot read it or follow the solution, then it is marked incorrect. I do not require typed homework, but I strongly suggest you type the homework problems. 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 determinants, 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, web searching, and image deblurring.


 

Exams and Grade Evaluation
2 Exams 100 pts each 200 pts
Homework 150 pts - 200 pts
3 Projects 150 pts
Total points: 500 pts -550 pts
Grade is determined by summing up your points and dividing by the total number of points.
A..92%-100%       A-..90%-91%       B+..87%-89%       B..82%-86%       B-..80%-81%       C+..77%-79%       C..72%-76%       C-..70%-71%       D+..67%-69%       D..60%-66%       F..0%-59%
Remark: Incompletes can only be given if you are passing the course.
Remark: No across the board curves allowed.
Remark: No extra credit allowed.


 

Projects

There will be three projects. The goals of the projects are to use the concepts to solve real life applications. You can work in groups, no more than three 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 Mathematica or Matlab. You can NOT use a graphing calculator, Excel, or code written by someone who is not in your group. Projects MUST be typed, with proper grammar. Points will be taken off for grammar (and spelling) mistakes. Do NOT hand in computer code. Projects will be posted on the web. All projects must be submitted through Sakai. Do NOT email the projects to me! Projects must have a list of all the names of everyone in 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 and your URI Webmail password.