This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.
Week #1:
Jan 13 - 17 Homework |
1.1. Some problems which lead to linear algebra
Administrative Note: Class cancelled Wednesday due to illness. Administrative Note: Class will not meet on Friday 17 January. |
Week #2:
Jan 20 - 24 Homework |
1.2. Number systems and mathematical induction
2.3. Vector spaces 2.4. Subspaces and linear indepencence Administrative Note: Monday, January 20 is Martin Luther King Day. Class will meet as usual. |
Week #3:
Jan 27 - Jan 31 Homework |
2.5. The concepts of basis and dimension
2.6. Row equivalence of matrices |
Week #4:
Feb 3 - 7 Homework |
2.7. Some general theorems about fineitely generated vector spaces
2.8. Systems of linear equations |
Week #5:
Feb 10 - 14 Homework |
2.9. Systems of homogeneous equations
Exam #1 will be given on Wednesday, February 12. Here is a study guide. |
Week #6:
Feb 17 - 21 Homework |
2.10. Linear manifolds
Administrative Note: Classes were canceled on Monday 17 February due to inclement weather. |
Week #7:
Feb 24 - Feb 28 Homework |
3.11. Linear transformations
3.12. Addition and multiplication of matrices |
Week #8:
Mar 3 - 7 Homework |
3.13. Linear transformations and matrices
Administrative note: Friday, March 7 is the Mid-Semester Break. Class will not meet. |
Week #9:
Mar 10 - 14 Homework |
4.14. The concept of symmetry
4.15. Inner products |
Week #10:
Mar 17 - 21 Homework |
5.16. Definition of determinants
Exam #2 will be given on Wednesday, March 19. Here are some review problems. |
Mar 24 - 28 | Spring Break |
Week #11:
Mar 31 - Apr 4 Homework |
5.16. Definition of determinants
5.17. Existence and Uniqueness of determinants 5.18. The multiplication theorem for determinants |
Week #12:
Apr 7 - 11 Homework |
5.19. Further properties of determinants
6.20. Polynomials Administrative Note: Friday 11 April is Spring Carnival. No classes will be held. |
Week #13:
Apr 14 - 18 Homework |
6.20. Polynomials
7.22. Basic concepts (theory of a single linear transformation) |
Week #14:
Apr 21 - 25 Homework |
7.23. Invariant subspaces
7.24. The triangular form theorem |
Week #15:
Apr 28 - May 2 |
7.24. The triangular form theorem
Exam #3 will be given on Wednesday, April 30. Here is a study guide. More items may be added, so check back. Administrative note: Friday, May 2 is the last day of class. |
May 13 | The Final Exam will be given on Tuesday, May 13, from 8:30am to 11:30am in MM 103. Here are some review problems. |