| Class |
Date |
Day |
Title |
Sections |
Announcements |
| Lecture 01 |
09.09 |
W |
The Geometry of Linear Equations. |
1.1-2.1 |
| Lecture 02 |
09.11 |
F |
Elimination with Matrices. |
2.2-2.3 |
| Lecture 03 |
09.14 |
M |
Matrix Operations and Inverses. |
2.4-2.5 |
| Lecture 04 |
09.16 |
W |
LU and LDU Factorization |
2.6 |
Problem Set 1 Due |
| Lecture 05 |
09.18 |
F |
Transposes and Permutations. |
2.7 |
| Lecture 06 |
09.21 |
M |
Vector Spaces and Subspaces. |
3.1 |
| Lecture 07 |
09.23 |
W |
The Nullspace: Solving Ax=0. |
3.2 |
Problem Set 2 Due. |
| Lecture 08 |
09.25 |
F |
Rectangular PA = LU and Ax=b. |
3.3-3.4 |
| Lecture 09 |
09.28 |
M |
Row Reduced Echelon Form. |
3.3-3.4 |
| Lecture 10 |
09.30 |
W |
Basis and Dimension. |
3.5 |
Problem Set 3 Due. |
| Lecture 11 |
10.02 |
F |
The Four Fundamental Spaces. |
3.6 |
| Exam 1 |
10.05 |
M |
Chapters 1--3 |
1.1-3.6 |
| Lecture 12 |
10.07 |
W |
Graphs and Networks. |
8.2 |
| Lecture 13 |
10.09 |
F |
Orthogonality |
4.1 |
| Holiday |
10.12 |
M |
Columbus Day |
|
| Lecture 14 |
10.13 |
T |
Projections and Subspaces. |
4.2 |
| Lecture 15 |
10.14 |
W |
Least Squares Approximations. |
4.3 |
Problem Set 4 Due. |
| Lecture 16 |
10.16 |
F |
Gram-Schmidt and A = QR. |
4.4 |
| Lecture 17 |
10.19 |
M |
Properties of Determinants. |
5.1 |
| Lecture 18 |
10.21 |
W |
Formulas for Determinants. |
5.2 |
Problem Set 5 Due. |
| Lecture 19 |
10.23 |
F |
Applications of Determinants. |
5.3 |
| Exam 2 |
10.26 |
M |
Chapters 1--5, 8.2 |
1.1-5.3,8.2 |
| Lecture 20 |
10.28 |
W |
Eigenvalues and Eigenvectors. |
6.1 |
| Lecture 21 |
10.30 |
F |
Diagonalization |
6.2 |
| Lecture 22 |
11.02 |
M |
Markov Matrices |
8.3 |
| Lecture 23 |
11.04 |
W |
Fourier Series, FFT, and Complex Matrices. |
8.5,10.2-10.3 |
Problem Set 6 Due |
| Lecture 24 |
11.06 |
F |
Differential Equations |
6.3 |
| Lecture 25 |
11.09 |
M |
Symmetric Matrices. |
6.4 |
| Holiday |
11.11 |
W |
Veteran's Day |
|
| Lecture 26 |
11.13 |
F |
Positive Definite Matrices. |
6.5 |
Problem Set 7 Due. |
| Lecture 27 |
11.16 |
M |
Matrices in Engineering. |
8.1 |
| Lecture 28 |
11.18 |
W |
Similar Matrices. |
6.6 |
Problem Set 8 Due |
| Lecture 29 |
11.20 |
F |
Singular Value Decomposition. |
6.7 |
| Exam 3 |
11.23 |
M |
Chapters 1--6 & 8 |
1.1-6.7,8.2-8.3,8.5 |
| Lecture 30 |
11.25 |
W |
Linear Transformations. |
7.1-7.2 |
| Holiday |
11.27 |
F |
Thanksgiving Break |
|
| Lecture 31 |
11.30 |
M |
Choice of Basis. |
7.3-7.4 |
| Lecture 32 |
12.02 |
W |
Linear Programming. |
8.4 |
Problem Set 9 Due |
| Lecture 33 |
12.04 |
F |
Optimization. |
|
| Lecture 34 |
12.07 |
M |
Numerical Linear Algebra |
9.1-9.3 |
| Lecture 35 |
12.09 |
W |
Course Review. |
| Final Exam |
12.14 |
M |
|
1-8,10 |
18.06 Linear Algebra, Fall 2009