Math 250 Schedule Section C1
Spring 2006
|
The following is a rough outline of the course. This may be
updated as the course progresses.
| Week |
(date of Monday) |
Topics |
Sections |
Event |
| 1 |
1/16 |
Matrices and Vectors |
1.1, 1.2 |
No class Monday |
| 2 |
1/23 |
Systems of Linear Equations, Gaussian Elimination |
1.3, 1.4 |
|
| 3 |
1/30 |
Span of a set of vectors, Linear dependence and independence |
1.6, 1.7 |
Matlab 1 due Wednesday |
| 4 |
2/6 |
Homogeneous systems, matrix multiplication, matrix algebra |
1.7, 2.1 |
|
| 5 |
2/13 |
Invertibility and elementary matrices, Inverse of a matrix |
2.3, 2.4 |
Matlab 2 due Wednesday |
| 6 |
2/20 |
LU decomposition |
2.5 |
Midterm 1 Wednesday |
| 7 |
2/27 |
Determinants, cofactor expansions, Properties of determinants |
3.1,3.2 |
|
| 8 |
3/6 |
Subspaces, basis and dimension |
4.1, 4.2 |
Matlab 3 due Wednesday |
| 9 |
3/13 |
|
|
No classes - Spring Break!!! |
| 10 |
3/20 |
Column space and null space, Eigenvalues and eigenvectors |
4.3, 5.1 |
|
| 11 |
3/27 |
Eigenvalues and eigenvectors, Characteristic polynomial |
5.1, 5.2 |
Matlab 4 due Wednesday |
| 12 |
4/3 |
Diagonalization of a matrix. |
5.3 |
Midterm 2 Wednesday |
| 13 |
4/10 |
Examples of diagonalization, Geometry of vectors, projections. |
5.5, 6.1 |
Matlab 5 due Wednesday |
| 14 |
4/17 |
Orthogonal sets of vectors, Gram-Schmidt, Orthogonal projection and complements. Least square, Normal equations |
6.2, 6.3 |
|
| 15 |
4/24 |
Orthogonal matrices, diagonalization of symmetric matrices. Spectral decomposition for symmetric matrices. |
6.4, 6.5 |
Matlab 6 due Wednesday |
| 16 |
5/1 |
Review |
|
No class Wednesday |
|
|
|