# | Date | Topics | Homework |
---|---|---|---|
0 | 9/8 (Fri) | Quiz #0 | - |
1 | 9/11 (Mon) | Systems of two linear equations in two variables. Elimination of variables. Sheet #1. | Assignment #1 is in Sheet #1. |
2 | 9/13 (Wed) | Gaussian Elimination. Sheet #1. | Reading Sec. 1.1 and 1.2. Assignment #2 is in Sheet #1. |
3 | 9/18 (Mon) | Matrices and matrix operation. Inverse matrix. Sheet #2. | Reading Sec. 1.3 and 1.4. Assignment #3 is in Sheet #2. |
4 | 9/20 (Wed) | Elementary matrices. A method for finding A^{-1}. Sheet #2. | Reading Sec. 1.5. Assignment #4 is in Sheet #2. |
5 | 9/25 (Mon) | Determinants. Axiomatic definition. Determinants of order 2 and 3. Sheet #3. | Assignment #5. |
6 | 10/02 (Mon) | Permutations. Group structure. Signs. A formula for determinant. Sheet #3. | Reading Sec. 2.1. Assignment #6. Due Fri.Oct 13 |
7 | 10/04 (Wed) | Quiz #1 | |
8 | 10/11 (Wed) | Properties of determinants. Determinants of transpose, product and inverse matrices. Sheet #4. | Reading Sec. 2.2 and 2.3. Assignment #7. Due Wed.Oct 18 |
9 | 10/16 (Mon) | Computing determinant by row reduction. Characteristic equation, eigenvalues, eigenvectors. Sheet #4. | Reading Sec. 2.3. Assignment #8. Due Mon.Oct 23 |
10 | 10/18 (Wed) | Minors. Cofactor expansion. A formula for an inverse matrix using determinants. Cramer's rule. Sheet #4. | Reading Sec. 2.4. Assignment #9. Due Wed.Oct 25 |
11 | 10/23 (Mon) | TEST #1 | No homework!!! |
12 | 10/25 (Wed) | Vectors. Operations on vectors. Coordinates. R^{n}. Linear dependence and independence. Sheet #5. | Reading from Sec. 3.1; 4.1; 5.2; 5.3. Assignment #10. Due Wed. Nov. 1 |
13 | 10/30 (Mon) | Basis of R^{n}. Sheet #5. | Reading from 5.1; 5.2; 5.3; 5.4. Assignment #11. Due Mon. Nov. 6 |
14 | 11/1 (Wed) | Abstract vector spaces. Axiomatic definition. Examples. Spanning set. Sheet #6. | Reading from all Chapter 5. Assignment #12. Due Wed. Nov. 8 |
15 | 11/6 (Mon) | Vector spaces associated with a matrix. Sheet #6. |