The following is a tentative schedule for the course. Sections in text refer to Lay's book. Please check back regularly for updates as the term progresses.
Day | Lectures | Sections in Text | Brief Description |
---|---|---|---|
1 | 14 Sep (M) | 1.1 | Systems of linear equations |
2 | 16 Sep (W) | 1.2 | Row reduction and echelon forms |
3 | 18 Sep (F) | 1.3-1.4- | Vector equations and matrix equations |
4 | 21 Sep (M) | -1.4-1.5- | Solution sets of linear systems |
5 | 23 Sep (W) | 1.7 | Linear independence |
6 | 25 Sep (F) | 1.8 | Introduction to linear transofrmations |
7 | 28 Sep (M) | 1.9 | Matrix of a linear transformation |
8 | 30 Sep (W) | 2.1 | Matrix operations |
9 | 2 Oct (M) | 2.2 | The inverse of a matrix |
5 Oct - 8 Oct | >Midterm 1 | ||
10 | 5 Oct (M) | 2.3 | Characterization of invertiable matrices |
11 | 7 Oct (W) | 4.1-4.2 | Vector space and subspaces, null space, column spaces, and linear transformations |
12 | 9 Oct (F) | 4.3 | Linear independent sets; bases |
13 | 12 Oct (M) | 4.4 | Coordinate systems |
14 | 14 Oct (W) | 4.5 | The dimension of a vector space |
15 | 16 Oct (F) | 4.6 | Rank |
16 | 19 Oct (M) | 4.6, 5.4 | Change of basis, matrices for linear transformation |
17 | 21 Oct (W) | 3.1 | Determinants |
18 | 23 Oct (F) | 3.2 | Properties of determinants |
26 Oct - 29 Oct | >Midterm 2 | ||
19 | 26 Oct (M) | 5.1-5.2- | Eigenvectors and Eigenvalues |
20 | 28 Oct (W) | -5.2-5.3- | The Characteristric equation; similarity; diagonal matrix |
21 | 30 Oct (F) | -5.3 | Diagonalization |
22 | 2 Nov (M) | 6.1,6.2,6.8 | Inner Product Space, Orthogonality |
23 | 4 Nov (W) | 6.3,6.5 | Orthogonal Projection, Gram-Schmidt |
24 | 6 Nov (F) | 6.5,6.6,6.8 | Least Squares and Applications |
25 | 9 Nov (M) | 7.1 | Diagonalization of Symmetric matrices |
26 | 11 Nov (W) | 7.2 | Quadratic Form |
27 | 13 Nov (F) | 7.3 | Constrained Optimalization |
28 | 16 Nov (M) | 7.4 | The Singular Value Decomposition |
30 Nov - 2 Dec | Final Exam |