| Class |
Date |
Day |
Title |
Sections |
Announcements |
| Lecture 01 |
02.03 |
W |
The Geometry of Linear Equations. |
1.1-2.1 |
| Lecture 02 |
02.05 |
F |
Elimination with Matrices. |
2.2-2.3 |
| Lecture 03 |
02.08 |
M |
Matrix Operations and Inverses. |
2.4-2.5 |
| Lecture 04 |
02.10 |
W |
LU and LDU Factorization |
2.6 |
Problem Set 1 Due 02.11 |
| Lecture 05 |
02.12 |
F |
Transposes and Permutations. |
2.7 |
| Lecture 06 |
02.16 |
T |
Vector Spaces and Subspaces. |
3.1 |
| Lecture 07 |
02.17 |
W |
The Nullspace: Solving Ax=0. |
3.2 |
Problem Set 2 Due 02.18. |
| Lecture 08 |
02.19 |
F |
Rectangular PA = LU and Ax=b. |
3.3-3.4 |
| Lecture 09 |
02.22 |
M |
Row Reduced Echelon Form. |
3.3-3.4 |
| Lecture 10 |
02.24 |
W |
Basis and Dimension. |
3.5 |
Problem Set 3 Due 02.25. |
| Lecture 11 |
02.26 |
F |
The Four Fundamental Spaces. |
3.6 |
| Exam 1 |
03.01 |
M |
Chapters 1--3 |
1.1-3.4 |
| Lecture 12 |
03.03 |
W |
Graphs and Networks. |
8.2 |
Problem Set 4 Due 03.04. |
| Lecture 13 |
03.05 |
F |
Orthogonality |
4.1 |
| Lecture 14 |
03.08 |
M |
Projections and Subspaces. |
4.2 |
| Lecture 15 |
03.10 |
W |
Least Squares Approximations. |
4.3 |
Problem Set 5 Due 03.11. |
| Lecture 16 |
03.12 |
F |
Gram-Schmidt and A = QR. |
4.4 |
| Lecture 17 |
03.15 |
M |
Properties of Determinants. |
5.1 |
| Lecture 18 |
03.17 |
W |
Formulas for Determinants. |
5.2 |
Problem Set 6 Due 03.18. |
| Lecture 19 |
03.19 |
F |
Applications of Determinants. |
5.3 |
| Lecture 20 |
03.29 |
M |
Eigenvalues and Eigenvectors. |
6.1 |
| Lecture 21 |
03.31 |
W |
Diagonalization |
6.2 |
Problem Set 7 Due 04.01. |
| Lecture 22 |
04.02 |
F |
Markov Matrices |
8.3 |
| Lecture 23 |
04.05 |
M |
Review for Exam 2 |
| Exam 2 |
04.07 |
W |
Chapters 1--5, 6.1-6.2, 8.2 |
1.1-5.3,6.1-6.2,8.2 |
| Lecture 24 |
04.09 |
F |
Differential Equations |
6.3 |
| Lecture 25 |
04.12 |
M |
Symmetric Matrices. |
6.4 |
| Lecture 26 |
04.14 |
W |
Positive Definite Matrices. |
6.5 |
Problem Set 8 Due 04.15. |
| Lecture 27 |
04.16 |
F |
Matrices in Engineering. |
8.1 |
| Holiday |
04.19 |
M |
Patriot's Day |
|
| Lecture 28 |
04.21 |
W |
Similar Matrices. |
6.6 |
Problem Set 9 Due 04.22. |
| Lecture 29 |
04.23 |
F |
Singular Value Decomposition. |
6.7 |
| Lecture 30 |
04.26 |
M |
Fourier Series, FFT, Complex Matrices. |
8.5, 10.2-10.3 |
| Lecture 31 |
04.28 |
W |
Linear Transformations. |
7.1-7.2 |
Problem Set 10 Due 04.29. |
| Lecture 32 |
04.30 |
F |
Choice of Basis. |
7.3-7.4 |
| Lecture 33 |
05.03 |
M |
Linear Programming. |
8.4 |
| Lecture 34 |
05.05 |
W |
Course Review. |
|
| Exam 3 |
05.07 |
F |
Chapters 1--8 |
1.1-6.7,8.1-3,8.5 |
| Lecture 35 |
05.10 |
M |
Numerical Linear Algebra |
9.1-9.3 |
| Lecture 36 |
05.12 |
W |
Computational Science. |
| Final Exam |
05.18 |
T |
|
1-8,10 |
18.06 Linear Algebra, Spring 2010