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Math & Cookies

Math & Cookies

Come savor cookies (and brownies!) and enjoy an introductory math talk! After the presentation there will be time to socialize with fellow students and faculty members.


 MATH & COOKIES V

Speaker: Anca Radulescu
Title: Iterations of interval maps and Sarkovskii's Theorem

Abstract: We will present a remarkable theorem from discrete dynamical systems due to Sarkovskii, which is amazing for its lack of hypotheses and its strong conclusion.

In the first part of the talk, we will cover "prerequisites" on iterations of real maps. We will define orbits, fixed and periodic points, and we will use cobweb diagrams to visualize and understand periodic orbits.

In the second part, we will discuss Sarkovskii's Theorem and its converse. We will prove a representative particular case, which states that a continuous map of the interval which has a point of period three, has automatically points of all other periods. The proof will use only elementary observations from calculus and basic set theory.

Location: FOB S14
Time: 11:00 - 12:00
Date: Wednesday September 17, 2014


 

MATH & COOKIES IV

Speaker: Laura Turner
Title: To infinity ... and beyond!
Subtitle: Some paradoxes of the infinite throughout history

Abstract: Zeno's dichotomy paradox states (roughly) that to reach the fi nish line in a race, a runner must fi rst get halfway there. Before he can get halfway there, he must get a quarter of the way there. Before traveling a quarter, he must travel one-eighth; before an eighth, one-sixteenth; and so on. Since this sequence continues forever, how can the runner reach the finish? How can he even take a single step?
The infi nite and the in finitely small | confounded mathematicians from antiquity. In this talk, I'll touch upon a few interesting discussions related to the infi nite, focusing on known paradoxes throughout history related to physics and calculus.

Location: FOB S14
Time: 11:00 - 12:00
Date: Wednesday April 9, 2014


 MATH & COOKIES III

Speaker: Stanley R. Huddy

Title: Chaos and Butterflies

Abstract: If a butterfly flaps its wings in Brazil does this set o a tornado in Texas? Why are weather reports often incorrect? Join me as we answer these questions and more through a visually interactive introduction to chaos theory.

Location: FOB S14
Time: 11:00 - 12:00
Date: Wednesday February 19, 2014


 MATH & COOKIES II

The Pythagorean Theorem

By Francis Valiquette

Abstract: Given a right triangle, the Pythagorean Theorem says that c2 = a2 + b2. How many proofs of this theorem do you know?
In the book, The Pythagorean Proposition, Elisha Scoot Loomis gives 256 proofs! At our next Math & Cookies get together I will show 2 of these proofs. If you have had Axiomatic Geometry, you'll be able to help derive the two proofs.

11 a.m.-12 p.m. Wednesday, Nov. 13, 2013

FOB S-12
MATHEMATICS CONFERENCE ROOM


MATH & COOKIES I

TAYLOR SERIES, ARC-TANGENT, AND PI

By David Hobby

11 a.m.-12 p.m. Wednesday, Oct. 9, 2013

FOB S-12
MATHEMATICS CONFERENCE ROOM