This schedule is subject to revision during the term.
# | Date | Section(s) | Subject | Download |
1 | Mon, Jan 8 | 1.1 | Introduction, linear
systems | |
2 | Wed, Jan 10 | 1.2 | Solving linear systems, echelon
forms | Slides |
3 | Fri, Jan 12 | 1.3, 1.4 | Vector equations, the matrix equation Ax=b | Slides |
4 | Wed,
Jan 17 | 1.4, 1.5 | Matrix-vector product, solution sets of linear systems | Slides |
5 | Fri, Jan 19 | 1.6 | Applications of linear systems | Slides |
6 | Mon, Jan 22 | 1.7 | Linear independence | Slides |
7 | Wed, Jan 24 | 1.8 | Introduction to linear
mappings | Slides, review
sheet |
8 | Fri, Jan 26 | 1.9 | The matrix of a linear
transformation | Slides, review sheet |
9 | Mon, Jan 29 | 2.1 | Matrix operations | Slides |
I | Wed,
Jan 31 | 1.1-1.9, 2.1 | Midterm
exam I | Exam, solutions |
10 | Fri, Feb 2 | 2.2 | The inverse of a matrix | Slides |
11 | Mon, Feb 5 | 2.3, 2.5 | Characterizations of
invertible matrices, LU factorization | Slides
, review
sheet |
12 | Wed, Feb
7 | 4.1 | Vector spaces and
subspaces | Slides |
13 | Fri,
Feb 9 | 4.2 | Null spaces, column
spaces, kernels, and ranges | Slides |
14 | Mon,
Feb 12 | 4.3 | Linearly independent sets, bases | Slides |
15 | Wed,
Feb 14 | 4.5, 4.6 | Dimension, rank | Slides |
16 | Fri,
Feb 16 | 4.4, 4.7 | Coordinate
systems, change of basis | Slides |
17 | Wed,
Feb 21 | 3.1,3.2 | Determinants | Slides |
18 | Fri,
Feb 23 | 3.2, 3.3 | More on
determinants, Cramer's rule, volume, linear transformations | Slides |
19 | Mon,
Feb 26 | 2.2- | Review | Slides |
II | Wed,
Feb 28 | 2.2- | Midterm
exam II | Exam, solutions |
20 | Fri,
Mar 2 | 5.1, 5.2 | Eigenvectors and eigenvalues, the characteristic equation | Slides |
21 | Mon,
Mar 5 | 5.3 | Diagonalization | Slides |
22 | Wed,
Mar 7 | 6.1 | Inner product, length, orthogonality | Slides |
23 | Fri,
Mar 9 | 6.2, 7.1 | Orthogonal
sets, diagonalization of symmetric matrices | Slides |
24 | Mon,
Mar 12 | 6.3, 6.5 | Orthogonal
projections, least-squares problems | Slides |
25 | Wed,
Mar 14 | 6.4 | The Gram-Schmidt process | Slides |
26 | Fri, Mar 16 | 5.1- | Review | Slides |
III | Wed,
Mar 21 | 1.1- | Final
exam |
Exam |