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 finish line in a race, a runner must first 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 infinite and the infinitely small | confounded mathematicians from antiquity. In this talk, I'll touch upon a few interesting discussions related to the infinite, 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 c^{2} = a^{2} + b^{2}. 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