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May 21st

May 21st

# Computational Linear Algebra I

1. Course Number: MATH 3323
2. Course Title: Matrix Algebra
3. Credit Hours: 3
4. Term : Fall 2009
5. Course Meetings and Location: TBA
6. Prerequisites: MATH 1312 with a grade of "C" or better.
7. Course Fee: none
8. Instructor: TBA
9. Office Location: TBA
10. Contact Info: TBA
11. Office Hours: TBA
12. Textbook: Introduction to Linear Algebra , 5th ed., Johnson, Riess,

13. Cata log Description : Systems of linear equations , matrices,
determinants, eigen values and eigenvectors , diagonalization, vector spaces,
and linear transformations.

14. Course Objectives: This course is concerned with matrices and vectors.
In one setting , matrices and vectors merely serve as efficient
devices for storing the coefficients and solutions of systems of linear
equations. The solutions of many such systems, though, are hard to
even describe without the right language. This is the language of vector
spaces, where matrices serve as functions turning vectors into other
vectors. We will then spend most of our time examining vector spaces,
and especially various vector spaces we can naturally as sign to a matrix .
In this setting, eigenvalues and eigenvectors of a matrix arise naturally,
and we end the course examining these.

Upon successful completion of this course, you will be able to solve
and analyze systems of linear equations . You will be able to nd and
describe the various vector spaces associated to a matrix, and you will
be prepared to study more abstract vector spaces. You will be able
to compute eigenvalues and eigenvectors of a matrix, and know what
they are good for. You will be able to do all of this equally well with
the symbolic
/ numerical description of matrices and vectors as arrays of
numbers, and with the geometrical description of matrices and vectors,
using the powerful organizing concept of dimension, even in dimensions
higher than 3.

15. Course Activities/Assignments: Computer-based investigations will
be assigned to gain intial knowledge on basic linear algebra concepts .
Computer modules are webbased and can be accessed on any computer
with Java.

There may also be homeworks assigned from the textbook in order to
provide
means for practice of concepts covered in class.

16. Course Schedule: Chapters 1-4 will in the text will be covered. Specific dates TBA.