Table of topics and assignments

                                             
Learning Assistant for the class: Luis Rodriguez.  His schedule (outside DM 409A): MTWR 15:30-16:30
                                            
Good resources for extra exercises: Prentice Hall website for the textbook - especially useful are the true-false questions for each section
 Professor Steve Hudson's materials for Linear Algebra . Be sure to try his exam page and his help links for Lin. Algebra.


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.