SENIOR SEMINAR

Math 402, Spring 2007

MWF 8:30-9:40 (B4), Jones 370


PROFESSOR: Dr. Douglas Anderson
  Ivers 234D
  299-4453 (office)
  andersod@cord.edu

OFFICE HOURS: Tuesday and Thursday 12-4; other times by discovery.

COURSE OBJECTIVES: Mathematics 402 is required of all senior mathematics majors. First we will seek to understand the historical bases of mathematics, including the contributions made by individuals and cultures, and the problems societies faced that gave rise to mathematical systems. Each student will read a chapter from William Dunham's Journey Through Genius: The Great Theorems of Mathematics and deliver it to the class in a 35-40 minute oral presentation. Next we will have each student experience the reading and learning of mathematical material not normally seen in our typical course sequence. Students may choose a theorem from Proofs from THE BOOK, Third Edition, by Martin Aigner and Gunter M. Ziegler, an article from Mathematics Magazine or American Mathematical Monthly, or a topic of their own research, then deliver a 30-40 minute oral presentation to the class.

GRADING:
Preparation 15%
Presentations (2) 80%
Attendance and Participation 5%

COMMENTS:
1. The topics you research and the resultant talks are to be mathematical in content, not just about mathematics.
2. The talks are to be 30-40 minutes in length, depending on the material; this will take planning on your part. You might want to give the talk to friends or a fictitious audience before your actual presentation. You should feel rather well prepared a week ahead of your scheduled talk. You will find that during the last week many unexpected questions will come to mind; it is then that you are really coming to understand the depth of your presentation.
3. The talks are to be well-planned, using teaching aids such as power point, overhead transparencies, class handouts, et cetera as appropriate. We have some supplies available in the departmental office.
4. During and/or after each talk members of the class may ask questions or seek clarifications.
5. Absolutely feel free to stop by to address problem areas that you encounter, or to discuss presentation strategies.
6. Chapters and presentation dates will be reserved on a first come, first served basis.
7. Timeliness on the choice of topics and dates is expected.



Class Schedule:
Date Topic
      
Monday, March 5 Introduction, Number Classifications
Wednesday, March 7 Continue Preparation
Friday, March 9 Continue Preparation
      
Monday, March 12 Chapter 1: Chris
Wednesday, March 14 Chapter 3: Dan
Friday, March 16 Chapter 2: Brian
      
Monday, March 19 Chapter 4: Liz
Wednesday, March 21 Chapter 5: Sandra
Friday, March 23 Chapter 7: Ujjwal
      
Monday, March 26 Chapter 8: David
Wednesday, March 28 Chapter 10: Perrie
Friday, March 30 Continue Research
      
Monday, April 2 Continue Research
Wednesday, April 4 Sandra: Buffon's Needle Problem
Friday, April 6 Good Friday (No Class)
      
Monday, April 9 Easter Monday (No Class)
Wednesday, April 11 Ujjwal: Fermat's Last Theorem
Friday, April 13 Liz: Introduction to Knot Theory
      
Monday, April 16 Perrie: Spectral Analysis of the Supreme Court
Wednesday, April 18 Brian: Surprising Dynamics from a Simple Model
Friday, April 20 David: Conway's Napkin Problem
      
Monday, April 23 Chris: Falling Down a Hole in the Earth
Dan: Chicken Theorem

Subpart 3C. A teacher of mathematics understands that number sense is the underlying structure that ties mathematics into a coherent field of study, rather than an isolated set of rules, facts, and formulae. The teacher of mathematics must demonstrate knowledge of the following mathematical concepts and procedures and the connections among them:
(7) algebraic and transcendental numbers: We will address this the first day by discussing the classification of numbers.

Subpart 3H. A teacher of mathematics must:
(1) understand the historical bases of mathematics, including the contributions made by individuals and cultures, and the problems societies faced that gave rise to mathematical systems: We will address this in the first half of the course through student presentations and class discussion.


  • Douglas Anderson's home page.
  • Mathematics and Computer Science home page.
  • Concordia College home page.

  • Updated: 23 April 2007