Math.496 + 696 Matrinomials  Spring 2018
Assignments



Notes:
  1. Assignments will be posted here throughout the semester, and are subject to change without notice.  Please  refer to this page when you begin work on an assignment, for the most current information.  Making a printed copy or saving a copy on your device is not recommended.
  2. Regular Homework will not be collected.  Some problems have solutions provided, and problems can be raised for discussion in class.
  3. Formal Problem Sets WILL be collected, as specified in the table.  Please review this webpage giving more details on formal mathematical writing for style and format expectations.


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 1-10 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 6-10 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 W3x3 ident matrix with top row moved to bottom.  Its eigenvalues are the three complex cube-roots 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 (1+isqrt(3))/2.
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 eigen-stuff 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 eigen-stuff excerpt, if you haven't already, and complete exercises 1-3 from the lecture outlinePLUS, 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 1-7 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 1a-f and 2a-f.
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