| Date |
Topics covered | Suggested assignment | Comments |
| May 03 |
1.1. Linear systems |
1(b,c), 3-7, 9, 10 |
|
| May 04 |
1.2 Row Echelon Form |
1-6, 9-15 |
Group Quiz 1 on Thursday, May 6 covers 1.1, 1.2, 1.3 |
| May 05 |
1.3 Matrix Algebra | 1-4, 9, 10, 13, 15, 16, 20, 21 | |
| May 06 |
finish 1.3 |
17, 18, 25, 27 |
This is Quiz 1. It is a
take-home quiz. You are allowed to collaborate, but each should write and turn in their own work. Deadline for submission: Monday, May 10. |
| May 10 |
1.4 Elem. matrices | 1, 2, 3, 5, 6, 10, 12, 17, 18,
22, 23, 24 Also do Test A and Test B from pages 87-89 (ignore Pbs. 11, 12 page 89) |
There was a typo in the problem
3 in the quiz. In the formula of the inverse, the position of the elements "-b", "-c" should be switched. Sorry about that! The web version is now corrected! |
| May 11 |
2.1 Determinants 2.2 Prop. of dets |
1, 3-6, 8-10 1-7, 12-16 |
First
MATLAB mini-project: Pbs 3 ans 4, pages 83, 84 textboox; Due date: Thu,
May 20 The computers in DM 409A have the software MATLAB installed. You can learn the basics from the Appendix of the textbook and also from the MATLAB book I left in DM 409A. You may also find helpful Professor's Hudson's webpage on MATLAB |
| May 12 |
class cancelled |
Some
ways in which you could handle the lack of printer in DM 409A The deadline to submit your first MATLAB mini-project is changed to Thursday, May 20. |
|
| May 13 |
2.3 Cramer's Rule |
1-12 |
Quiz 2 (in class) on Monday, May
17, from sections 2.1-2.2 Review session, Friday May 14, 12:30-1:45, in GL 132 |
| May 17 |
finish 2.3 Quiz 2 |
Do Tests A and B from the end of
Chapter 2. |
|
| May 18 |
3.1 Vector spaces 3.2 Subspaces |
1, 3, 5, 6-9, 16 2-4, 10, 16, 18, 20 |
Office hour today will be after
class: 2:15-3:15pm |
| May 19 |
finish 3.2 3.3 Lin. independence |
1-3, 6-8, 11-13, 16, 17 |
Midterm
on Monday, May 24, covers all sections we did up to (and including) 3.3 |
| May 20 |
Review for Midterm |
Most questions will be from (or
very similar to) exercises from the suggested homework. You should also take a look at the true-false and the review problems of each chapter. Make sure you know very well all definitions and the statements of important theorems. Proofs of some parts of these theorems may also be required. |
Review session, Friday May 21, 12:30-1:45, in GL 132 |
| May 24 |
Midterm |
||
| May 25 |
3.4 Basis & dimension |
1, 2, 3, 5, 7, 11, 13, 14, 17, 18 | |
| May 26 |
3.5 Change of basis |
1, 2, 5, 6, 9, 10 |
|
| May 27 |
3.6 Row(A), Col(A) |
1, 4-9, 16, 19, 22 |
Quiz
3 (in class) on Tuesday, June 1, covers 3.3, 3.4, 3.5 (note the change - no 3.6, but includes 3.3) Note also that I added a couple of problems in the suggested assignment for these sections (#7,8 for 3.3; #13,18 for 3.4; #10 for 3.5) Review session, Friday May 28, 12:30-1:45, in GL 132 |
| May 31 |
No class Memorial Day |
A couple of students from the
class (Rolando, Shana - thank you) told me of an MIT website where you can watch Linear Algebra lectures. They are helpful, although the order of the topics and the style in which they are covered are different than with our textbook. I encourage you to try them if you have time. (for instance, our Chapter 3.6 that I touched upon on May 27 corresponds to Lecture 10 in the videos.) |
Second
MATLAB mini-project: Pb. 4 page
111-112, Pbs. 1, 2 pages 170 - 171 textbook: Due Thursday, June 10 You can e-mail our LA, Luis Rodriguez, if you'd like to see him at other times than M-R 3:30-4:30. His e-mail is: luisrodg@gmail.com |
| June 1 |
4.1 Linear Maps Quiz 3 |
1-4, 7, 14, 20, 21 |
|
| June 2 |
4.2 Matrix of a linear map |
1, 2, 5, 6, 14, 18 | |
| June 3 |
4.3 Similar matrices | 1, 2, 5, 7, 9, 11-15 | Take
home Quiz 4: Due Thursday,
June 10 Pb. 20, page 199, Pb. 5, page 205 textbook |
| June 7 |
Pbs. from Chap. 4 |
||
| June 8 |
5.4 Inner Product 5.1 I.P. in R^n |
1, 2, 7, 8, 9, 24, 29 1-13 |
|
| June 9 |
5.5 Orth. basis 5.2 S, S^{perp} |
2, 4, 6, 11, 15, 27, 28 1-9, 13 |
|
| June 10 |
5.3 Least squares |
1-3, 5-7, 14 | Take home Quiz 5; Due Thursday, June 17 |
| June 14 |
More on 5.3 6.1 E-values, Evectors |
1-10, 18 |
|
| June 15 |
6.3 Diagonalization |
1-4, 6-9, 17, 18 |
|
| June 16 |
Review for final |
The theoretical topics on the
final will be chosen from the following: Thms.6.1.1, 5.5.2, 5.4.2, 5.4.1, 5.3.1, 5.2.1, 4.1.1, 3.6.2, 3.4.3. You should know very well all definitions and all statements of important theorems. Problems will be from (or very similar to) exercises in the suggested homework. Some true-false questions will likely appear. |
Final
will cover the material
done after midterm. |
| June
17 |
Final
exam (regular class time) |
These are your
grades. First column (after ID) - score on quiz 5 (out of 25). Second column - score on the final (out 150). Third column - score on 2nd Matlab project (out of 30). Last column - grade for the class. Have a good summer and good luck with your studies further! |
Comments:
The final had 172 possible points (22 bonus points, 10 of them
unintended!). Given this, the results on the final were rather weak (with some exceptions). In the MATLAB project, many of you lost points on Pb. 4, page 111; as n increases, you should have seen that the probability of finding singular matrices goes to zero. Many of you did not adapt the way the loop command should work as you modified n. There were also bad or no answers to the questions of Pb. 2 page 170. |