Math Circle Schedule

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UU Math Circle Home Page

Schedule for the 2002 - 2003 Academic Year:

Fall Semester

Unit 1: Introduction and Foundations

9/18/02 "What is mathematics all about? - The Lion, the Llama, and the Lettuce" by Renzo Cavalieri
9/25/02 "What is mathematics all about? - Pick's Theorem" (continued) by Renzo Cavalieri and "How to Count and Climb Ladders - "Proofs and Induction " by Nick Korevaar. Handouts are both courtesy of the Berekeley Math Circle page.
10/2/02 "How to Count and Climb Ladders - Trax, Trains, and Trolleys" (continued) by Nick Korevaar
10/9/02 Contest #1

Unit 2: Discrete Dynamical Systems

10/16/02 "Incidence is No Coincidence" by Nick Korevaar and "Directed Graphs" by Hugo Rossi
10/23/02 "Diffusion Model" and "Weighted Graphs" (continued) by Hugo Rossi
10/30/02 "Extinction and Population Dynamics" by Nancy Sundell-Turner and Fred Adler
11/6/02 "Extinction and Population Dynamics" (continued) with logistic and tent images by Nancy Sundell-Turner and Fred Adler
11/13/02 Contest #2

Unit 3

11/20/02 "Rubik's Cube" by David Hartenstine as well as notes from Tom Davis at Berkeley
11/27/02 Thanksgiving Break
12/4/02 "Rubik's Cube" (continued) by David Hartenstine
12/11/02 Contest #3/Party

Spring Semester

Unit 4: Math Contests - For MAA and State Math Contest-Type Problems
(For this unit, we used many wonderful problems from old American Mathematics Competitions. The URL for this organization is http://www.unl.edu/amc and, if you visit that site, you will find a wealth of information and resources for high school math contests.)

1/15/03 "Geometry" with solutions by Matthew Rudd
1/22/03 "Counting and Probability" by Bob Guy
1/29/03 "Algebra and Number Theory" by Renzo Cavalieri: introductory problems, their solutions, contest problems, and their solutions
2/5/03 Contest #4 (Grade 10 and Grade 12)
Most of these problems come from American Mathematics Competitions. The AMC has old contests from the past 30 years, which you can buy with solutions at http://www.unl.edu/amc. If you'd like to see solutions to these particular contests, please come see us.

Unit 5: Topology

2/12/03 "Knots" by Mladen Bestvina
2/19/03 "Knots" (continued) by Mladen Bestvina
2/26/03 "Graph Theory" by Bobby Hanson
3/5/03 "Graph Theory" (continued) by Bobby Hanson
(The link to last week's notes covers both weeks.)
3/12/03 Contest #5

Unit 6: Geometry

3/26/03 "Fractal Geometry" by Jesse Ratzkin
4/2/03 "Fractal Construction" by Jesse Ratzkin
4/9/03 "Fractals - III" by Jesse Ratzkin and handout
(The link to last week's notes covers both weeks.)
4/16/03 "The Magic of Numbers" by Florian Enescu
4/23/03 "The Magic of Numbers - Part 2" by Florian Enescu
(The link to last week's notes covers both weeks.)
4/30/03 End-of-Year Party AND "Rainbows, Halos, and Glories: Mathematics in Nature" by Graeme Milton, Chair of the Mathematics Department

Schedule Main Page