### Final Project

**Goals and Objectives**:
You will research a topic related to the course that you are interested in
and will communicate your expertise in
a Maple document and poster presentation.
This is to be an individual project
(unless you make a good case to Dr. Sarah which explains why it should
be a group project)
and the topic must be pre-approved by
Dr. Sarah. Your project
must exhibit effort that is appropriate for your background and major.
Your research may take the form of topics in the book that we did not cover,
further examination of something we did, or something
else related to linear algebra.
I encourage you to be creative and find a topic that relates to linear
algebra that you are interested in. I am happy to give you some
suggestions of topics and/or references (see below for some sample ideas).

Your final project will be turned in as a Maple document, which will
be put on the web, and a poster presentation.
Your Maple document should follow the guidelines listed on
http://www.cs.appstate.edu/~sjg/class/2240/finalprojectguide/finalproject.html
You should create a poster that complements your Maple document.

We will divide up the class into two poster sessions.
During your poster session, you must stand by your poster to answer questions (and your answers must demonstrate expertise of your topic).
Your poster should summarize the important points of your Maple document.
Some laptops will
be available to showcase Maple files.
You are encouraged to
bring in your own laptop and have that set up next to your
poster.
The purpose of the poster is to allow people to easily read aspects of
your project without having to go to a computer. The Maple files will
remain up on the web page for people to look at later.
During the other session, you should briefly look over everyone's
project, and choose three or four people (who are standing by their poster) to
evaluate using the peer review form that will be given to you.
A portion of your final project grade will be determined by the depth,
quality and clarity of your peer reviews, which
will be read by Dr. Sarah, but not by the project presenter.
Each peer review must demonstrate that you read the project carefully.

The project will be graded based on the depth of the mathematics, the
clarity of the explanations and poster presentation, and your peer review.

**Sample Project Ideas (come see me in office hours for topic approval,
references, or additional suggestions)**

Applications of higher dimensional vector spaces to computer learning in order to diagnose heart disease, breast cancer, and use sonar signals to distinguish rocks from mines.
Applications of Matrices to...

Geometry,
Biology,
Contra Dancing,
Computed Tomography,
Cubic Spline Interpolation,

Economic Models,
Equilibrium Temperature Distributions,
Forest Management,
Fractals,

Game Theory,
Genetics, or something else
Cramer's Rule
Gershgorin Circle Theorem and Applications to Flutter of an Aircraft
Harvesting a Grizzly Bear Population
History of Linear Algebra
How Does the NFL Rate the Passing Ability of Quarterbacks?
Least Squares Solutions and Matrices
Loops and Spanning Trees and Matrices
Linear Algebra and Archaeology
Linear Algebra and Graphic Design
Mixing Calculus and Linear Algebra: Is There a Good Reason for This?
Neural Networks and Linear Algebra
NP-Complete Solutions in Linear Algebra using 3-SAT
Orthogonal Matrices and Gram Shmidt
Principal Axis Theorem
Rotation matrices, Gimbal lock, and the Space Shuttle
Singular Value Decomposition in Image Compression
Special Unitary Groups