Calendar
Readings are from Introduction to Linear Algebra by Gilbert Strang.
| SESSION # |
TOPIC |
READINGS |
IMPORTANT DATES |
| 1 |
The Geometry of Linear Equations |
1.1-2.1 |
|
| 2 |
Elimination with Matrices |
2.2-2.3 |
|
| 3 |
Matrix Operations and Inverses |
2.4-2.5 |
|
| 4 |
LU and LDU Factorization |
2.6 |
|
| 5 |
Transposes and Permutations |
2.7 |
|
| 6 |
Vector Spaces and Subspaces |
3.1 |
|
| 7 |
The Nullspace: Solving Ax=0 |
3.2 |
|
| 8 |
Rectangular PA=LU and Ax=b |
3.3-3.4 |
|
| 9 |
Row Reduced Echelon Form |
3.3-3.4 |
|
| 10 |
Review |
|
|
| 11 |
Exam 1: Chapters 1-3 |
|
Exam 1 |
| 12 |
Basis and Dimensions |
3.5 |
|
| 13 |
The Four Dimensional Subspaces |
3.6 |
|
| 14 |
Graphs and Networks |
8.2 |
|
| 15 |
Orthogonality |
4.1 |
|
| 16 |
Projections and Subspaces |
4.2 |
|
| 17 |
Least Squares Approximations |
4.3 |
|
| 18 |
Gram-Schmidt and A=QR |
4.4 |
|
| 19 |
Properties of Determinants |
5.1 |
|
| 20 |
Formulas for Determinants |
5.2 |
|
| 21 |
Applications for Determinants |
5.3 |
|
| 22 |
Eigenvalues and Eigenvectors |
6.1 |
|
| 23 |
Diagonalization |
6.2 |
|
| 24 |
Review |
|
|
| 25 |
Exam 2: Chapters 1-5 |
|
Exam 2 |
| 26 |
Markov Matrices |
8.3 |
|
| 27 |
Fourier Series and Complex Matrices |
8.5, 10.2 |
|
| 28 |
Differential Equations |
6.3 |
|
| 29 |
Symmetric Matrices |
6.4 |
|
| 30 |
Positive Definite Matrices |
6.5 |
|
| 31 |
Similar Matrices |
6.6 |
|
| 32 |
Singular Value Decomposition |
6.7 |
|
| 33 |
Linear Transformations |
7.1-7.2 |
|
| 34 |
Choice of Basis |
7.3-7.4 |
|
| 35 |
Review |
|
|
| 36 |
Exam 3: Chapters 1-7, 8.3 |
|
Exam 3 |
| 37 |
Fast Fourier Transform |
10.3 |
|
| 38 |
Linear Algebra in Engineering |
|
|
| 39 |
Course Review |
|
|
| 40 |
|
|
Final Exam |