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