http://interval.louisiana.edu/courses/362/362-02-fa-15-syllabus.txt

Math. 362 tentative syllabus 
(Fall, 2015, R. B. Kearfott)

Wiley Plus problems on each topic will be given as
the topics are presented.  The topics and sections
are from "Elementary Linear Algebra, Applications Version",
11th edition, by Howard Anton and Chris Rorres.  This 
schedule will be modified as we proceed.

 	Section		Material

 1.	1.1		Intro. to linear systems
 			(geometry, row operations)

 2. 	1.2		Gaussian elimination
			(Row echelon and reduced row
			echelon form; free variables,
			homogeneous systems)
			
 3. 	1.3, 1.4	Matrix operations, inverses	        	

 4. 	1.5, 1.6	More on inverses

 5. 	1.7, 1.8	Types of matrices, matrices as
                        linear transformations.

 6.     1.9             Applications

 7.     First exam

 8.     2.1, 2.2        Determinants by cofactor expansion
 			and by row reduction.

 9.     2.3		Cramer's rule and review.

10.	3.1, 3.2	vectors, norm, dot-product, distance
                        (Note: the material in 3.3 and 3.4 are
                        covered in our Math. 302 course;  that is
                        the only reason they are omitted here.)

11.	4.1, 4.2	Vector spaces in general; subspaces

12.	4.3, 4.4	linear independence; coordinates and bases

13.	4.5, 4.6	Dimension; change of basis

14.	4.7, 4.8	row space, column space, rank, null space,
                        orthogonal complement.

15.     4.9, 4.10	reflectors and rotators, properties of 
			transformations.

16.	4.11, review	geometrical significance of transformations.

17.	Second exam

18.	5.1		eigenvalues and eigenvectors; bases

19.	5.2, 5.3	diagonalization, matrix factorizations, 
			complex vector spaces.

20.	5.4		eigenvalues and eigenvectors in differential
			equations.

21.	Review

22.	Third exam

The following topics are dependent on how quickly and well we
have covered the previous ones.

23.	6.3		Gram Schmidt process and QR factorization

24.	6.4		Least squares approximation

25.	9.4		The singular value decomposition

26.	Review

27.	Fourth exam

28.	Review