Syllabus

Week 1. January 19 - 23

1.1: Systems of linear equations

1.2: Row echelon form

Week 2. January 26 - 30

1.3: Matrix algebra

1.4: Elementary matrices

Week 3. February 2 - 6

2.1: The determinant of a matrix

2.2: Properties of determinants

2.3: Cramer's rule

Week 4. February 9 - 13

3.1: Vector spaces: definition and examples

Exam 1: Thursday, February 12

Unrestricted Withdrawal Deadline: February 13

Week 5. February 16 - 20

3.2: Subspaces; linear span

Week 6. February 23 - 27

3.3: Linear independence

3.4: Basis and dimension

Week 7. March 1 - 5

3.5: Coordinates; Change of basis

Week 8. March 8 - 12

3.6: Row space and column space

Exam 2: Thursday, March 11

Spring Break: March 15 - 19

Week 9. March 22 - 26

4.1: Linear transformations: definition and examples

4.2: Matrix representations of linear transformations

Week 10. March 29 - April 2

5.1: The scalar product in Rⁿ

5.2: Orthogonal subspaces

Restricted Withdrawal Deadline: April 2

Week 11. April 5 - 9

5.3: Least squares problems

5.4: Inner product spaces

Week 12. April 12 - 16

5.5 Orthonormal sets

Exam 3: Thursday, April 15

Week 13. April 19 - 23

5.6: Gram-Schmidt orthogonalization

5.7: Orthogonal polynomials

Week 14. April 26 - 30

6.1: Eigenvalues and eigenvectors

6.3: Diagonalization

Week 15. May 3 - 4

Final Review

Final Exam: Thursday, May 6, 12:20-2:10

Last Modified: Fri May 21 13:56:02 2004
Page Contact: kaliszewski@asu.edu