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
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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
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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.
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