Math 211: Linear Algebra (Instructor: Sergei Chmutov)

Fall 2000 Daily Schedule

# 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. Rn. 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 Rn. 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.