**Math 437-- Applications of Algebra**

**Fall 2015, TuTh 8:30--9:45 AM, SAS 1220**

**Instructor:** Seth Sullivant, office: 3114 SAS Hall, email: smsulli2@ncsu.edu

**Syllabus:** Syllabus

**Office Hours: **Tu 10:00- 11:00, W 2:00-3:00,
Or by appointment

**Text:** R. Klima, N. Sigmon, E. Stitzinger, *Applications of Abstract Algebra with Maple and Matlab*, Second Edition, Chapman & Hall/ CRC

**Recommended Reading: **

- Grinstead and Snell,
*Introduction to Probability*, available for free here. See chapter 11 for material on Markov chains. - Langville and Meyer, Deeper inside Google PageRank, Internet Mathmathematics, Vol. 1, No. 3, 2005, pp.335-400. Good material for more background on the PageRank algorithm.
- Laurtizen,
*Concrete Abstract Algebra*, Chapter 5 concerns Grobner bases. I will provide copies later in the semester.

**Prerequisites: **Math 403 or 407, and Math 405

**Course Description: ** This course will present several applications of linear and abstract algebra to real-world problems.
Topics include: error correcting codes and block designs;
cryptography; Markov chains and ranking;
solving polynomial equations with Gr\"obner bases;
additional topics as time permits.

Learning Objectives (This document will be updated throughout the course and can be used as a study guide.)

** Schedule: ** Is available here.

** Homework: ** Homework will be roughly assigned weekly and is due in class on Thursday, unless otherwise indicated.

A file explaining how to prepare your homework can be found here. Homework assignments can be found here.

**Policy on Late Homework:** Homework is due in class on Thursdays, unless otherwise indicated. Late homework will be accepted up to Friday at 5 PM of the week it was due, either to my mailbox, delivered to me in person, or by email and will received 80% of the points.** Any homework turned in after Friday at 5 PM will receive a zero.** If you must miss a class on the day a homework is due and you want full credit, it is your responsibility to get the homework to me by the beginning of class on Thursday. This could be delivered to my mailbox, delivered to me in person, turned in by another student, or by email.

**Quizzes:** There will be two 20-minute quizzes. Each quiz will be worth 5% of your grade. The quizzes will cover basic definitions and theorem statements only. The quizzes will be on September 22 and November 10.

**Final Project: ** A final project consisting of a short (3-5 pages) exposition of a topic (selected by the student subject to instructor approval) will be due on Dec 10 by 5 PM. A list of some possible topics and project details are available here.

** Grades: **Grades will be based on Homework (70%), Quizzes (10%), and Final Project (20%). Grades are based on the following scale: A : (> 85%), B: (70-85 %) C: (60-70%) D-F: (<60%).

**LateX Resources:**

- Essential LateX
- Essential Mathematical LateX
- LateX 2e introduction
- LATEX Software and Documentation
- Easy to install LateX for Windows
- Easy to install LateX for Macs