Lecture schedule
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
|
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