Table of topics and assignments 

Note my new office hours: TR 15:00-15:30 in DM 432B and TR 18:45-19:45 in PC 211.

We were assigned room PC 212. This is where we'll have our classes from now on. Note office hour before class in PC 211.

I placed an older edition of Steven Leon's Linear Algebra --the undergraduate textbook -- on the shelves outside DM 416A. You can use it there, but please do not take it away from that area.


Date Topics covered Suggested Assignment Comments
Aug. 23 Chapter 1
Appendix A		 Ex: 1-7
read the appendix and all examples given		 Homework 1: Due Tuesday, Aug. 30
Aug. 25 2.1
2.2
 1-11 odd, 13-17all, 18, 19, 21
1-11 odd
  
Aug. 30 2.3 1-5 odd, 6-12 even Homework 2: Due Tuesday, Sep. 6.
Sep. 1 2.4
part of 2.5 + class material		 1-11odd
1-4all		  
Sep. 6 3.1
3.2		 1-9all
1-14all		 Homework 3: Due Thursday, Sep. 15
Sep. 8 3.3
3.5
2.5.quotient		 1-8all
1-10all
5-8all		  
Sep. 13 More on quotient spaces;
Bilinear maps,
tensor product.		 see class notes and exercises suggested in class
 I will not ask you to know the definition of the tensor product.
However, you should know the definition of bilinear maps (forms),
as well as the additional results on quotient spaces and isomorphism theorems
that we covered.
Sep. 15 4.1
4.2
 1-7all
1-6all
 Homework 4: Due October 6
Sep. 20 4.3
 3-14all Note that the book uses the terminology "conjugate matrices"
for what we defined as "similar matrices". We'll use both terms.
Sep. 22 4.4
4.5		 1-5all, 7-11odd
1-9all
Sep. 27 4.6
 1-11all
 Homework 4 is extended to Thursday, Oct. 6 (but no further extension).
Sep. 29 4.7
1-8all
 Note that Midterm 1 is postponed to Tuesday, October 11.
It covers Chapters 2, 3, 4 up to (and including 4.8). About 40-50% of the exam will be computational
(exercises like those in the suggested assignments) and 50-60% will be more theoretical
(like the theoretical problems in the assignments, exercises left in class,
or parts of theorems proved in class).
Oct. 4 4.8 1-12all  
Oct. 6 Review    
Oct. 11 Midterm 1    
Oct. 13 4.9 1-21all (see the comments too) Pb. 6 is basically algebra (not really linear algebra), so you can take it for granted.
For Pb. 4 also show that the polynomial h(x) can be chosen of the form given in Pb. 5,
where \lambda_1, ..., \lambda_k are the distinct eigenvalues of L.
Pb. 9 was basically done in class. Pb. 10 is the key for getting the Jordan normal form theorem.
Pbs. 16-21 are computational and you should be able to do them relatively easily,
after you understand the splitting described in Pb. 10.
Oct. 18 5.1
5.2		 1-5all, 8-10all + handout exercises
1-4all, 6-10all + handout exercises		 Do also the fox&chicken handout problem for k = 0.18
and salt-concentration problem from the second page of the handout
Oct. 20 5.3 1,2, 4-7all Homework 5: Pbs 6,7,8 page 108 textbook. Due Thursday, Oct. 27
(late submission incurs penalty)
Oct. 25 5.4 1,3,4,6,8 + exploration of difference eqns (all)
Oct. 27 5.5
 1,3,4,6-9all
  
Nov. 1 5.6 1,3-8all,15,16 + handout exercises Here is the link for the Cat & Mouse Example presented in class
Nov. 3 5.7 1-11all Homework 6: Due Thursday, Nov. 10
Nov. 8 more on
5.6 and 5.7		 see above  
Nov. 10 6.1
6.2		 1-4all, 7-9all
1-4all, 8,9		  
Nov. 15 6.4
6.5		 1, 3, 5 (L is the reflection about the x_1x_2 plane)
6, 8, 11, 12		  
Nov. 17 Hadamard matrices exercises from handout For more on this topic, check also this book chapter.
Nov. 22 class cancelled   Homework 7: Due Tuesday, Nov. 29
Nov. 24 No class Happy Thanksgiving!  
Nov. 29 More
on Hadamard matrices		    
Dec. 1 Review for final   The final will emphasize the material done after the midterm.
All problems in the suggested assignments and the exercises left in class
could appear on exam. You should also know well the definitions and
the statements of the main results covered.
Dec. 6 Final Exam
19:15-21:15
regular room		   Here are your grades. In the first column is your score on the final (out of 150);
in the second column is your grade for the class.
      Happy Holidays!