Date 
WORK DUE at the beginning of class or lab
unless otherwise noted!
For practice problems, make sure that you can present and/or
turn in your work  write out the
problem and the complete solution  show work too!

May 3 Tues 
Final Project Poster Presentations 35:30 pm
Maple document guidelines,
peer review and
poster sessions
Your Maple document is due by 1:30pm as a yourname.mw file (no spaces!)
attached to WebCT. Try to come to class a few minutes before 3:00
to set up your poster in the classroom. I will provide some snacks  bring
a drink for yourself.
Amber Bollinger,
Movie Projectors: Just tricks of the lenses or is mathematics involved?
abstract
project
Kimberly Absher,
Ever Been in a LoseLose Situation?????
abstract
project
Katrina Casey, Cramer's Rule: Solving multivariable equations
abstract
project
Jeffrey Edelman,
Introduction to Neural Networks and Matrices,
abstract
project
Chris Flanigan, abstract
project
Kelly S. Gilliam,
A Lesson in Grabbing Students Attention,
abstract
project
Rocky Horton,
How the NCAA selects who goes to the Big Dance,
abstract
project
Nicholas Jenkins,
What we did not learn from Indiana Jones about Archaeology,
abstract
project
Antonio Lage,
How the NFL Passer Rating for Quarterbacks is Calculated,
abstract
project
Andrew Madison,
Introduction to Neural Networks
abstract
project
Laurel Nelson,
Force that a Magnetic Field Exerts on a Moving Charge,
abstract
project
Fred Priesmeyer, CAD: Computer Aided Design,
abstract
project
Kate Ryno, abstract
project
Jennifer Schroeder,
If a Frog is Related to a Cat, then I'm Pretty Sure
Politics are Related to Matrices,
abstract
project
Lawrence Sprinkle,
abstract
project
Darren Stikes,
The History Of Linear Algebra,
abstract project
Brent Vaassen,
Image Restoration and Its Endless Possibilties
abstract project
Kyle Warren,
Sparse Matrix Algorithms
abstract project

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Apr 28  Thur 
 Test revisions due by 5pm

Apr 26  Tues 
 Final project abstract due by 11:45am
as an attachment onto WebCT (text, Word, rtf, or Maple)

Apr 21  Thur 

Apr 18  Mon 
 PS 6 due at 7pm 
See Problem Set Guidelines and
Sample Problem Set WriteUps
*7.1 #14 by hand and on Maple via the
Eigenvectors(A); command 
also compare your answers and resolve any apparent conflicts
or differences within Maple text comments.
*Rotation matrices in R^{2}
Recall that the general rotation matrix which rotates vectors in the
counterclockwise direction by angle theta is given by
M:=Matrix([[cos(theta),sin(theta)],[sin(theta),cos(theta)]]);
Part A:Use a geometric explanation
to explain why most rotation matrices have no eigenvalues or eigenvectors.
Part B: Apply the Eigenvalues(M); command. Notice
that there are real eigenvalues for certain values of theta only.
What are these values of theta and what eigenvalues do they produce?
Find a basis for the corresponding eigenspaces.
(Recall that the square root of a negative
number does not exist as a real number and that
cos(theta) is less than or equal to 1 always.)
*7.2 7, 18, and 24
*Foxes and Rabbits (Predatorprey model)
Suppose a system of foxes and rabbits is given as:
Write out the Eigenvector decomposition of the iterate x_k, where the
foxes F_k are the first component of this state vector, and the rabbits
R_k the second. Use the decomposition to explain what will happen to x_k in
the longterm.
Extra Credit: Determine a value of the [2, 2] entry that leads to constant levels of the fox and rabbit populations, so that eventually neither population is changing. What is the ratio of the sizes of the populations in this case?

Apr 14  Thur 

Final Project topic and annotated list of preliminary references due.
Topic must be preapproved by Dr. Sarah.

Apr 7  Thur 

Apr 5  Tues 
 Review for test 2, and write down any questions you have.

Mar 31  Thur 
 Work on PS 6, final project, and study for the test.

Mar 25  Fri 
 PS 5 due at 5pm 
See Problem Set Guidelines and
Sample Problem Set WriteUps
4.3
(14 if it is a subspace then just state that it is because it is closed under addition and scalar multiplication, but if it is not, explain in detail by showing that one of these is violated, as in class. Also, as I mentioned,
be sure to leave n as general  do not definite it as 2!),
and also do 21
VLA  EXTRA CREDIT p. 262 #2 a, d, e, f
4.4 12, 16, 24, 26, 53
VLA p. 104 number 8 (**ALL IN MAPLE**)
hints. This is worth more than the other
problems.
4.5 22, 24, 26, 48
4.6 22, 24, 27, 29

Mar 17  Thur 

Mar 15  Tues 
 Work on test 1 revisions and PS 5

Mar 3  Thur 
 Problem Set 4 Due at 5:00 pm
See Problem Set Guidelines and
Sample Problem Set WriteUps
4.1 36 and 44
VLA p. 82#6 (*ALL IN MAPLE*)
Hints for the VLA problem
The VLA problem is worth more than the others.
4.2 (19, 20, 21, 22, 31
For ALL of thse, if it is a vector space then just state that it is because
it satisfies all of the vector space axioms , but if it is not, then write out
the complete proof that one axiom is violated as in class)

Mar 1  Tues 

Feb 24  Thur 
 Practice Problems 4.1 numbers 7, 35, 43, 49, 52
 Work on Problem Set 4

Feb 22  Tues 
 Test 1 on Chapters 13
Study Suggestions
You can pick up your graded PS from my door after 1pm Monday.

Feb 18  Fri 
 Problem Set 3
See Problem Set Guidelines,
Sample Problem Set WriteUps,
and the Hints for PS 3 due by 5pm
2.510, 16, 24
VLA 3.4 p. 158 Problem 3.
Extra Credit for Problem 2.
3.1 38, 47 a, 51
3.2 31, 32 a and c
3.3 (28 byhand and on Maple),
(34  If a unique solution to Sx=b exists, find it by using the method x=S^(1) b.), 49, (50 a and c)

Feb 15  Tues 
 Read over solutions on WebCT and work on Problem Set 3.

Feb 10  Thur 
 Practice Problems 3.1 numbers 19, 33, 49
 Practice Problem 3.2 number 25
 Practice Problems 3.3 numbers 31, 35
 Begin PS 3.

Feb 7  Mon 
 Problem Set 2 due by 7pm.
See Problem Set Guidelines,
Sample Problem Set WriteUps, and
PS 2 Hints
2.1 24, (26 byhand and on Maple), 30.
VLA 3.4 p. 158 (see hints) 2a and 3a.
2.2 34 a, b and c.
VLA 3.3 p. 146 4, Extra Credit for 3.
2.3 12, (14 by hand and on Maple), 28a, 39, (40 c and d).

Feb 3  Thur 
 Practice Problems 2.3 (5, 7, 19 byhand)
 Continue Problem Set 2

Feb 1  Tues 
 Practice Problems (to turn in) 2.1 numbers 7, (9 and 11 byhand), 15, 21, 23, 25, (32 byhand), 33, 51 and 2.2 numbers 17, 18, 35, 37
 Begin Problem Set 2

Jan 27  Thur 
 Carefully read through Problem Set 1 Solutions on WebCT and write
down any questions you have.
 Begin working on homework for Tues

Jan 25  Tues 
 Carefully read through Select Problem Solutions for 1.1, Select
Problem Solutions for 1.2, on WebCT,
and Sample
Problem Set WriteUps. Write down any questions you have.
 Problem Set 1 Due at 5pm  See
Problem Set Guidelines,
Sample Problem Set WriteUps,
and Problem Set 1 Maple Commands
and Hints. I also encourage you to ask me questions about anything
you don't understand in office hours or on the WebCT bulletin board.
1.1 (24 on Maple), 60, 74,
1.2 For (30 and 32, do them by hand and also on Maple) (on Maple
use no more than 3 commands to solve each problem), 44, 59, 60,
1.3 24, 26
c1s4.mws VLA Extra Credit VLA p. 54 #3 (Design a ski jump on Maple).

Jan 20  Thur 
 Read section 1.2
 Practice Problems (to turn in) LarsenEdwards
1.2 numbers 13, 15, 17, 19, 21, 25, 27, 43, 49
(do these byhand since you need to get efficient at the byhand method

answers to odd problems are in the back of the book  it is your job
to show work).
 Continue working on problem set 1.

Jan 18  Tues 
 Meet in 210
 Practice Problems (to turn in at the start of class) LarsenEdwards
1.1 Do the following byhand since you need
practice on this (but you may use a calculator or Maple on 19 and 53)
numbers 7, 15, 19, 53, 57, 59, 61, 73
(answers to odd problems are in the back of the book  it is your job
to show work).
 Begin working on problem set 1.

Jan 13  Thur 
 Read p. xv and section 1.1 in LarsenEdwards.
 Begin working on practice problems in 1.1 (see Tues)
