MATH 222 - Linear Algebra I

CATALOG DESCRIPTION: See catalog description here

This course is for math and science majors. A mixture of theory and applications should be presented.

The student should be able to verify that something is or is not a subspace or a linear transformation, and should be required to do elementary proofs.

The following sections should be covered:

 1 MATRICES AND SYSTEMS OF EQUATIONS (Material will be covered in 2 weeks) 
 
Section 1.1 
Section 1.2 
Section 1.3 
Section 1.4 
Section 1.5 
 2 DETERMINANTS (Material will be covered in 1 week) 
 
Section 2.1 
Section 2.2 
Section 2.3 (if time permits) 
 3 VECTOR SPACES (Material will be covered in 3 weeks) 
 
Section 3.1 
Section 3.2 
Section 3.3 
Section 3.4 
Section 3.5 
Section 3.6 
 4 LINEAR TRANSFORMATIONS (Material will be covered in 1.5 weeks) 
 
Section 4.1 
Section 4.2 
Section 4.3 
 5 ORTHOGONALITY (Material will be covered in 3 weeks) 
 
Section 5.1 
Section 5.2 
Section 5.3 
Section 5.4 
Section 5.5 
Section 5.6 
 6 EIGENVALUES (Materill will be covered in 1.5 weeks) 
 
Section 6.1 
Section 6.2 
Section 6.3 MATLAB exercises are at the disccretion of the instructor.  Most students have not seen MATLAB in a prior course.