| W |
2/4 |
The Geometry of Linear Equations |
1.1-2.1 |
| F |
2/6 |
Elimination, Matrix Operations |
2.2, 2.4 |
| M |
2/9 |
Elimination Matrices and Matrix
Inverses |
2.3, 2.5 |
| W |
2/11 |
A = LU Factorization |
2.6 |
| F |
2/13 |
Permutations, Dot Products, and
Transposes |
2.7 |
| M |
2/16 |
HOLIDAY (lecture on Tuesday) |
|
| T |
2/17 |
Vector Spaces and Subspaces |
3.1 |
| W |
2/18 |
The Nullspace: Solving Ax = 0 |
3.2 |
| F |
2/20 |
Solving Ax = b for nonsquare A,
Row-reduced Echelon Form |
3.3-3.4 |
| M |
2/23 |
Independence, Dimension, and Bases |
3.5 |
| W |
2/25 |
The Four Fundamental Subspaces |
3.6 |
| F |
2/27 |
Subspaces and Matrix Operations |
|
| M |
3/2 |
Exam 1: Chapters 1 to 3.4 |
|
| W |
3/4 |
Graphs and Networks |
8.2 |
| F |
3/6 |
Orthogonality and Subspaces (Add
Date) |
4.1 |
| M |
3/9 |
Projections |
4.2 |
| W |
3/11 |
Least Squares Approximations |
4.3 |
| F |
3/13 |
Orthonormal Bases, Gram-Schmidt, and
A = QR |
4.4 |
| M |
3/16 |
Fourier Series and Orthogonal
Polynomials |
8.5 |
| W |
3/18 |
Properties of Determinants |
5.1 |
| F |
3/20 |
Formulas for Determinants; Jacobians |
5.2-5.3 |
| M-F |
3/23-27 |
SPRING BREAK |
|
| M |
3/30 |
Exam Review |
|
| W |
4/1 |
Exam 2: Chapters 1-5, 8.2, 8.5 |
|
| F |
4/3 |
Eigenvalues and Eigenvectors |
6.1 |
| M |
4/6 |
Similar Matrices, Diagonalization,
and Powers of A |
6.6, 6.2 |
| W |
4/8 |
Markov Matrices |
8.3 |
| F |
4/10 |
Differential Equations |
6.3 |
| M |
4/13 |
Symmetric Matrices |
6.4 |
| W |
4/15 |
Positive Definite Matrices |
6.5 |
| F |
4/17 |
Defective Matrices: Jordan Forms and
Generalized Eigenvectors |
6.6 |
| M |
4/20 |
HOLIDAY |
|
| W |
4/22 |
Singular Value Decompositions |
6.7 |
| R |
4/23 |
(Drop Date) |
|
| F |
4/24 |
Matrices in Engineering |
8.1 |
| M |
4/27 |
Linear Operators on Functions |
|
| W |
4/29 |
Exam Review |
|
| F |
5/1 |
Exam 3: Chapters 1-8 (8.1, 2, 3,
5) |
|
| M |
5/4 |
Google PageRank; Principal Components
Analysis |
|
| W |
5/6 |
Sparse Matrices and Iterative Methods |
9.3 |
| F |
5/8 |
Numerical Linear Algebra |
9.1-9.2 |
| M |
5/11 |
Complex Matrices and FFTs |
10.1-3 |
| W |
5/13 |
Course Review |
|
| M-F |
5/18-22 |
Final Exams |
|
