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## November 16, 2013 – Ivan Borsenco – The Study of Prime Numbers: from Euclid till present days

Why do prime numbers fascinate us?
Why prime numbers are still an active area of research?
You will find answers to these questions and many more if you come to the lecture.
See you there!

## October 26, 2013 – Austin Marstaller – “Cantor Sets”

This week’s math circle presenter will be MMC participant and UTD student, Austin Marstaller.  He’ll be discussing Cantor Sets, a set of points lying on a single line segment that have a number of interesting properties.  Learning about Cantor sets is a great way to introduce general topology.
Announcements will also be made about how to register for AMC 8 if your school does not offer the test.  We look forward to seeing you!

## October 12, 2013 – Cosmin Pohoata – Non-standard Induction

Abstract: We prove a few combinatorial gems by using induction on unexpected quantities.

## October 05, 2013 – Dr. Jonathan Kane – “Rows of Roses”

Let’s talk about the sine and cosine functions. One does not need to use very much information about these commonly seen functions in order to understand a large number of curves which can be drawn by graphing sine and cosine in Cartesian and polar coordinates. We will see sine curves, sums of sine curves, Lissajous figures, cycloids, hypocycloids, epicyclodes, and, of course, many rows of roses.

## September 28, 2013 – Dr. Branislav Kisačanin – Did the NSA Really Break the RSA Code?

In this talk we will learn about the art of protecting information, some incredible (but true) stories from the history of cryptography, and how the all-important RSA code works. To get there, we will need a bit of Number Theory, in particular Fermat’s Little Theorem and Euler’s Theorem. In the process we will also learn how to solve a class of problems that might be seen at AMC competitions, such as:
• What is the remainder when 2^1000 is divided by 997?
• Determine the last digit of 1^1 + 2^2 + 3^3 + … + 2009^2009.

## September 21, 2013 – Dr. Titu Andreescu – “Why Math on a Saturday Afternoon?”

This Saturday, Dr. Andreescu will be answering the eternal question:  “Why Math on a Saturday Afternoon?”

## Dr. Branislav Kisačanin – Geometry of Triangles

This Saturday, April 20th Dr. Kisačanin will return for another of his fantastic lectures.  Triangles factor into almost every math contest in addition to being endlessly fascinating objects in themselves.  Here is Dr. Kisačanin’s description of the session with links to resources:

In this talk about geometry of triangles we will see two different proofs of Stewart’s theorem, derive formulas for important cevians, and solve several interesting geometric problems.

We will also look at other important points in triangles (Fermat point, centers of excircles, …) and look at the Euler line, the nine-point circle, and related problems.

## April 6, 2013 – Purple Comet! Problems and Student Presentations

Join us in the first hour to hear MMC students present some of their favorite problems and mathematical concepts.  In the second hour we will work on problems from the Purple Comet! contest and talk about this exciting opportunity to compete with other students around the world.

## March 2, 2013 – Dr. Titu Andreescu – More Interesting Problems

With the AMC tests behind us and the AIME to come, don’t miss this opportunity to hear Dr. Andreescu talk about some of his favorite problems!