Announcements:
Course links:
Worksheets and Handouts
Exams:
Projects: You should soon form groups to work on projects. I want from each group the names of the members and the project title with a brief abstract by mid October. Here I will collect my ideas for your final projects. These are my suggestions but you don't have to stick to this list if you have other ideas. Please get my approval before working on a project. The list below will be updated frequently.
Paper submission: Each student should write a paper on the topic of their project work. I want a paper from each student, not one from each group. The deadline for Paper submission is Monday, December 6th. Here are some important things to keep in mind when you write your paper.
Presentations: Here is a tentative schedule of presentations. It is essential that you attend ALL talks and not just your own talk. There is a lot you (and I) can learn from these talks. More information about these talks will be announced later.
PRESENTATIONS SCHEDULE |
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Date |
Project Title |
Speakers |
Abstract |
Monday, Nov. 29th | Applications of Linear Algebra | Maria Paduret | I will talk about some applications of linear algebra with particular emphasis on games. |
Wednesday, Dec. 1st | Game Theory and the Nash Equilibrium (Honors Project Presentation) | Sean Higgins | We will show how linear algebra can be used to study equilibrium strategies in games. This will be illustrated with a specific example from Poker. |
Thursday, Dec 2nd | Circular Sudoku | Steve Dudley Andrew Krolman Ashok Raghavan |
We show how linear algebra can be used to create basic algorithms to solve Sudoku type puzzles from the most basic (circular) to the more complex (regular or extreme) ones. |
Friday, Dec. 3th | Using Leopoult's Input-Output Model to Solve Economic Questions | Andrew Gillespie Nathan Johnson Justin McGetrick Laura Prochot Michael Soto Andrew Walter |
Using Leontief input-output model we will solve the required inputs and outputs of a closed market. Furthermore, by using the demand vector, we will be able to solve for gross production along with net production. Thus, seeing if a company is making a profit. |
Monday, Dec. 6th | Applications of Linear Algebra in Crypotography | Kate Cross Sean Higgins Katie Jean Elizabeth Kuntz Mike Suess |
There are many fascinating methods of crypography using Linear Algebra. Historical uses are shared all the way to the most current uses. Examples of each type of crypography are shown using the class slogan, "MATRICES ACT ON VECTORS." |
Wednesday, Dec. 8th | Error Correcting Codes | Mel Chwee Andrew Kampwerth Ryan Korth Brittany Priest Alyson Weber |
We will explore the different applications of error correction and error detection codes including but not limited to credit cards, bar codes, postal codes, and Hamming codes. |
Thursday, Dec. 9th & Friday, Dec. 10th |
Applications of Eigenvalues | Adam Bourjaily Bonnie Klauber Drew McGary Jordan Morris Chris Nielson Yuto Tsukida |
We will disucss the eigen value problem along with its theory using examples from the Fibonacci sequence and other recursive sequences, the Markov processes, differential equations and applications in Physics. |