Linear Modeling for Engineers

• Text: Linear Algebra and its applications
• Third edition, update
• Author: David C. Lay
• ISBN: 0-321-28713-4

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Ask Thea

1. Install Mozilla from Page for obtaining the Mozilla browser
   It will also be necessary to install math fonts for this browser. Information on how to install these can be found on
   The MathML Fonts Page
   For linux users, the necessary fonts can be found in: mozilla-math.tar.gz (these should be installed in X windows).

Note: Other web pages for this course will not necessarily even show up in other browsers! Once you have installed Mozilla and the fonts, you can check your installation by viewing:

The MathML Start Page

Use this to check whether MathML is working properly on your web browser. Unfortunately, the Windows version of Mozilla seems to have a bug that will cause it to complain about missing fonts even though the fonts are there (and Mozilla is using them correctly).

Topics covered

1. Introduction:
   • Ssytems of Linear Equations
   • Row reduction and echelon form
   • Vector equations
   • The matrix equation Ax=b
   • Solution sets
   • Applications
   • Linear independence
   • Introduction to Linear Transformations
   • The matrix of a linear transformation
   • Linear models in business, science, and engineering
2. Matrix algebra
   • Computer models in aircraft design
   • Matrix operations
   • The inverse of a matrix
   • Characterization of invertible matrices
   • Matrix factorizations

Homework

Lecture notes

Go to the Lecture Notes directory.

Links

• Math forum on Linear Algebra
• The linear algebra page (from the Mathematical Atlas)
• Maxima Home Page
  Maxima is a free computer algebra system available for Windows, Linux, and the BSD's. It can (among many other things) do linear algebra.
• Projective Geometry Page
• Gaussian Elimination

Exam Schedule

1. Exam 1, Week 3
2. Exam 2, Week 6
3. Exam 3, Week 9