http://interval.louisiana.edu/courses/362/362-02-fa-16-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. First exam
4. 1.3, 1.4 Matrix operations, inverses
5. 1.5, 1.6 More on inverses
6. 1.7, 1.8 Types of matrices, matrices as
linear transformations.
7. 1.9 Applications
(chemical balance, electrical circuits)
8. Second exam
9. 2.1, 2.2 Determinants by cofactor expansion
and by row reduction.
10. 2.3 Cramer's rule and review.
11. Third exam
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. 3.3 Orthogonality
12. 3.4 Geometry of linear systems
13. 3.5 Cross product
14. Fourth exam
15. 5.1 eigenvalues and eigenvectors; bases
16. 5.2, 5.3 diagonalization, matrix factorizations,
complex vector spaces.
17. 5.4 eigenvalues and eigenvectors in differential
equations.
21. Review
22. Fifth exam
26. Review
27. Time permitting, we will also cover topics from
chapter 4.