MATH 222 - Linear Algebra

TEXTBOOK:Linear Algebra with Applications, 5th ed., by Leon

CATALOG DESCRIPTION: Linear equations and matrices; real vector spaces, linear transformations, change of bases, determinants, eigenvalues and eigenvectors, diagonalization, inner products.
Prerequisites: MATH 152 or MATH 172

This course is for math and science majors. A mixture of theory and applications will 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