Daily Schedule

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