Syllabus

Week 1. August 21 - 25

1.1: Systems of linear equations

1.2: Row echelon form

Drop/Add Deadline: August 25

Week 2. August 28 - September 1

1.3: Matrix algebra

1.4: Elementary matrices

1.5: Partitioned Matrices: Block Multiplication

Week 3. September 5 - 8

Labor Day: September 4

2.1: The determinant of a matrix

2.2: Properties of determinants

Week 4. September 11 - 15

Review

Exam 1: Thursday, September 14

Week 5. September 18 - 22

3.1: Vector spaces: definition and examples

3.2: Subspaces; linear span

Week 6. September 25 - 29

3.3: Linear independence

3.4: Basis and dimension

Week 7. October 2 - 6

3.5: Coordinates; Change of basis

3.6: Row space and column space

Week 8. October 9 - 13

Review

Exam 2: Thursday, October 12

Midterm Grades Due: October 13

Week 9. October 16 - 20

4.1: Linear transformations: definition and examples

4.2: Matrix representations of linear transformations

Week 10. October 23 - 27

4.3: Similarity

5.1: The scalar product in Rⁿ

Withdrawal Deadline: October 27

Week 11. October 30 - November 3

5.2: Orthogonal subspaces

5.3: Least squares problems

Week 12. November 6 - 9

Review

Exam 3: Thursday, November 9

Veterans' Day: November 10

Week 13. November 13 - 17

5.4: Inner product spaces

5.5 Orthonormal sets

Week 14. November 20 - 22

5.6: Gram-Schmidt orthogonalization

Thanksgiving Break: November 23 - 24

Week 15. November 27 - December 1

6.1: Eigenvalues and eigenvectors

6.2: Systems of linear differential equations

6.3: Diagonalization

Week 16. December 4 - 5

Review

Final Exam: Thursday, December 7, 12:20-2:10 PM