Homework

8/25 1.1# 1a,b, 2, 3, 4, 5a,b.

8/27 1.2# 1, 2, 3,  5a, b, c, d, f, i; 1.3# 2

9/1 1.3#1,,4, 5, 9, 10.

Thursday quiz will cover material up to and including today's lecture.

9/3 1.3#15, 17,18, 19; 1.4# 1, 4, 5,  9,  10 a, b, e,g, 11, 12a, 13,

9/8 1.5# 1, 2; 2.1# 1,  3a,c,g.

Thursday quiz will cover material up to and including the Tuesday lecture and associated homework.

9/10 2.1# 4, 9, 10; 2.2# 1, 3a,e, 9

9/15 2.2# 2a, 7, 10,

Hint for 2.2#11 with n even: : try finding example among 2x2 matrices with zero along diagonal.

9/17 2.2# 13; 2.3# 1, 3

9/22 2.3# 2 ; 3.1# 1, 3, 5

Assignment #1:  1.4# 18, 20; 2.1# 10; 2.2 #6, 11, 16; 2.3# 6; 3.1# 4,7,10,11. The assignment will be due on September 29.

Thursday quiz will cover material up to and including the Tuesday lecture and associated homework.

9/29 3.2# 1, 2, 3, 4a,b., 6, 9a,b, 10a,  13

10/1 3.3# 1a,b,c; 2a,b,3,6a,c

new office location: DM 424

10/6 3.3# 10; 3.4 #1a,b,c, 2a,b,3,4, 8, 14

I have decided NOT to hold a quiz tomorrow, since there is  a test on Tuesday.

Test will cover everything up to and including 3.4.

10/8 3.4# 10; 3.5# 1, 2, 3,4.

10/15 3.6# 1, 2a,b,3, 4a,b,c

Here is the beginning of assignment 2:  3.1#4,7,10,11;3.2#5,12, 18,20; 3.3# 14, 15, 16; 3.4# 7, 16; 3.5#10; 3.6#7, 13, 25, 26,

Supplemental assignment: turn in corrected test for up to 5 points added to your test score.

10/20 4.1# 1, 2, 3, 4, 5, 19.

10/22 3.5# 5,9;  4.2# 1a,b, 2a,c;3c,4a, 6, 15.

Here is the finalized assignment 2:  3.1#4,7,10,11;3.2#5,12, 18,20; 3.3# 14, 15, 16; 3.4# 7, 16; 3.5#10; 3.6#7, 13, 25, 26 4.1# 16, 21, 22; 4.2# 16; This will be due Tuesday, Nov. 3.

10/27 4.3# 1a,2, 3, 9.

10/29 5.1# 1a,b, 2a,b, 3a, 4,5,6, 7, 8,9.

Quiz as usual on Thursday, 10/29.

11/3 5.2# 1a,b, 2, 3,  6.

On Tuesday's class we discussed finding a vector perpendicular to two others. I pointed out that in R^3,   the cross product equals such a vector. I also stated that the cross product only exists in R^3, but this is not quite right: a version of the cross product also exists in R^7. In fact, some sort of generalisation of the cross product exists in other dimensions too (namely the wedge product), but this will not equal a  vector perpendicular to two others in these other dimensions. For a discussion on this, see http://en.wikipedia.org/wiki/Cross_product . If you read the Wikipedia entry carefully, you will see that the reasons that dimensions 3 and 7 are special are related to some deep results in abstract algebra, that you can learn about by taking MAS 4302.

I have decided to change the grading scale. Please see syllabus for details. The change I made cannot make your grade any worse, and might improve your grade.

5.3#1a,b, 2, 5, 6

5.4# 1,2,3, 6,7, 8, 13, 14, 15, 16.

Quiz as usual on Thursday.

11/17 5.5# 1a,b,c, 2, 4,5,6

Test on Thursday will cover up to 3.5-5.4 (though I would not advise you to forget the material before 3.5).. You should know how to use theorems relating the dimensions of row space, nullspace, etc; you should know have to related R(A) and N(A^T), you should know have to compute the projections onto subspaces in R^n; you should know the the definitions of norm, inner product, similarity, and other key conceptions, you should be able to compute transition matrices and matrix representations of linear transformations with respect to various bases, you should be able to use least square method. You should understand the homework exercises.

11/24 5.6 # 1a,3,

Here is the final version of Assignment 3; this is a homemade supplementary problem. Also, 4.3# 5, 7, 11; 5.1# 13, 14; (Remark on this last problem: this is a MAJOR result. What is its generalisation in to R^3- all Calc. 3 students should be able to answer this!);5.2# 12; 5.3#14; 5.4#19,20; 5.5# 7, 15.

The latest quiz and assignment, graded, are available to be picked up now. I have left them in an envelope in my mailbox. The mailbox is located just outside the departmental office, under the number Edward.

I have received many requests to postpone the exam. I have decided to postpone it until next Tuesday, 11/24. 

Office hours are cancelled for Wednesday, 11/25.