Weekly plan for Math 304-504 (approximate)
Week 1. Systems of equations and row echelon form.
Sections 1.1-1.2
Week 2. Matrix algebra and partitioned matrices.
Sections 1.3,1.5
Week 3. Determinants and Cramers Rule.
Sections 2.1-2.3
Week 4. Vector spaces/subspaces, Test 1.
Sections 3.1-3.2
Week 5. Linear independence,
basis and dimension.
Sections 3.3-3.4
Week 6. Change of basis, Row and column space.
Sections 3.5-3.6.
Week 7. Row space and column space, linear
transformation, matrix
representations of linear transformations.
Section 3.6,4.1,4.2.
Week 8. Similarity and Test 2.
Section 4.3.
Week 9. The scalar product on Rn and
orthogonality.
Sections 5.1,5.2.
Week 10. Least-squares problems and orthornormal sets.
Sections 5.3,5.4.
Week 11. Eigenvalues and eigenvectors.
Section 6.1.
Week 12. Systems of linear differential equations,
Test 3.
Section 6.2.
Week 13. Diagonalization.
Section 6.3.
Week 14. Hermitian Matrices and Review for Final.
Section 6.4