Math.496 + 696 Matrinomials
Spring 2018
Assignments
Date Assigned 
Date Due 
Assignment 
1/15 
1/23 
Read the course information
posted on this website. In
particular, read about Freemat,
install it on your computer, and work through the tutorial. Also, complete
and return the student survey. 
1/16 
NA 
Reading:
Chapter 1 Preliminaries
and Palindromials
available on blackboard under content. Regular homework: Problems 110 of this handout. 
1/19 
NA  Reading:
both items below are available on blackboard under content. Palindromials This is a reference for the topic to be discussed on Tuesday 1/23. You can read it before class to get a feeling for the topic, or after lecture to augment and extend what we cover in class, or both. Matrix_Ops (part of the linear algebra review.) This should be reviewed before class on Friday. Be sure you know how to multiply matrices when you come to class on Friday. Regular homework: Do these exercises I posted as an announcement in blackboard, and sent by email. 
1/23 
NA 
If
you have not already done so, read the Palindromials handout, and work
on exercises 610 of the first
problem handout. 
1/26 
2/2 
First
Formal Problem Set. 
1/26 
NA 
In
class most of the time was spent on the matrix material added to
the first powerpoint file, and I handed out this outline and exercise set for the
new topic. To reinforce what we discussed in class, work on
exercises 1, 2abc, 3, and 4. 
1/30  NA 
We
finished up the revised
outline that was started last week. Students should work on
the exercise set
for this material, including any of the problems assigned on 1/26 that
have not yet been done. In addition, please review determinants
before class on Friday. Some material on determinants has been
posted under content on blackboard. 
2/2 
NA 
We
began going through this lecture outline.
You should be looking at the excerpt of the Lay text on eigenvalues and
eigenvectors, and trying the exercises I circled in red. 
2/6 
NA 
We
worked on this outline,
which includes the material from last Friday that we did not get
to.
Continue studying the Lay excerpt and working on exercises
therein. Also, in class we found the eigenvalues of the matrix W = .
Its eigenvalues are the three complex cuberoots of 1. We
found the eigenvectors for the real eigenvalue (1). For homework, see if you can
find the complex eigenvectors associated with the complex eigenvalue . 
2/9 
NA 
We have finished most of the outline started on 2/6. I found a typo in the version I originally posted, so there is an updated version now online, with a correction (see item 5 p 18). We are going to see an application of eigenvalues and eigenvectors next week, so it is important that students have a firm graph on the subject. Please review the Lay handout on eigenstuff and work on the circled exercises (and extra exercises) by our next meeting (on 2/13). 
2/13 
NA 
We
began this lecture
outline, covering the material through 2b on page 23. To
reinforce the ideas from today's class, finish reviewing the Lay
eigenstuff excerpt, if you haven't already, and complete exercises 13
from the lecture
outline. PLUS,
do this extra problem: Find the eigenvalues for the 4 x 4 W
matrix; for each eigenvalue find one nonzero eigenvector.
You can also optionally work on exercise 11.. 
2/16 
2/23 
Second
Formal Problem Set. In addition, the following regular homework problems should be completed before our next class on 2/20: exercises 4 & 5 from the lecture outline. 
2/20 

2/23 
Study
this lecture
outline and complete the included exercises 

2/27 
Study Solving polys w
circulants parts 1 and 2 . 

3/2 
Study two sets of slides to
complete the topic of solving polys with circulants. The second
set, Solving polys w circulants part 5,
is supposed to be inserted between slides 20 and 21 of the first set, Solving
polys w
circulants parts 3 and 4 . 

3/6 
Complete any assignments not
already completed 

3/9  Study
Harvey Plotter & Circle of
Irrationality
Slides and complete the included problem set 

Spring Break 3/13 & 3/16  
3/20 
Study Companion Matrices Lecture 1 and complete exercises 17 of: Companion Matrices Exercise Set 1  
3/23 
Continue
studying Companion
Matrices Lecture 1 through slide 26. Complete exercises 8 through 11a of : Companion Matrices Exercise Set 1 

3/27 
No
new assignment. Review for exam 

Midterm Exam 3/30  
4/3 
Study
Lecture
Outline on Lag
Operator and Difference Equations Complete problems 1 and 3 from this problem set. 

4/6 
Complete
problems 2, 4, and 5 of the problem set indicated for 4/3. Study the material through paragraph 3a of the 2nd Lecture Outline on Lag Operator and Difference Equations, with Exercises & selected solutions, then complete exercises 1af and 2af. 

4/10 

4/13 
4/20  Third Formal Problem Set 
4/17 

4/20 

4/24 

4/27 
Last
Day of Class 

Final Exam 5/4 11:20  1:50 