Syllabus

Week 1. August 25 - 29

1.1: Systems of linear equations

1.2: Row echelon form

Week 2. September 1 - 5

1.3: Matrix algebra

1.4: Elementary matrices

Week 3. September 8 - 12

2.1: The determinant of a matrix

2.2: Properties of determinants

2.3: Cramer's rule

Week 4. September 15 - 19

3.1: Vector spaces: definition and examples

Exam 1: Thursday, September 18

Week 5. September 22 - 26

3.2: Subspaces; linear span

3.3: Linear independence

Unrestricted Withdrawal Deadline: Extended to September 26

Week 6. September 29 - October 3

3.3 ...continued

3.4: Basis and dimension

3.5: Change of basis

Week 7. October 6 - 10

3.5 ...continued

3.6: Row space and column space

Week 8. October 13 - 17

4.1: Linear transformations: definition and examples

Exam 2: Thursday, October 16

Week 9. October 20 - 24

4.2: Matrix representations of linear transformations

4.3: Similarity

Week 10. October 27 - 31

5.1: The scalar product in Rⁿ

5.2: Orthogonal subspaces

Restricted Withdrawal Deadline: October 31

Week 11. November 3 - 7

5.3: Least squares problems

5.4: Inner product spaces

Week 12. November 10 - 14

Veterans Day: November 11

5.5 Orthonormal sets

Week 13. November 17 - 21

5.6: Gram-Schmidt orthogonalization

Exam 3: Thursday, November 20

Week 14. November 24 - 26

5.7: Orthogonal polynomials

Thanksgiving Break: November 27 - 28

Week 15. December 1 - 5

6.1: Eigenvalues and eigenvectors

6.3: Diagonalization

Week 16. December 8 - 12

Final Review

Final Exam: Friday, December 12, 10:00-11:50

Last Modified: Tue Jan 13 11:45:37 2004
Page Contact: kaliszewski@asu.edu