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.