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## 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.

## Why Math on a Saturday Afternoon? — Solutions

Dr. Andreescu has provided the solutions to the problems from the most recent math circle: A_Medley_of_Algebra_Problems_Handout.

## AwesomeMath Resource Spotlight

The AwesomeMath newsletter, The Gold Standard has published a series of important dates and useful resources:

Starting with the first round of USAMTS (USA Mathematial Talent Search) due on October 15 and culminating with the IMO (International Mathematics Olympiad) in July, 2014, the season of math competitions is right around the corner.  Are you prepared?  Do you have the resources to help you excel?   With over 30 years of experience teaching, coaching, and mentoring the brightest mathematical minds of our age, Dr. Andreescu’s books are essential for every math enthusiast’s library.  Here are just a few highlights from his distinguished career:

• Authored, co-authored, and edited more than 40 math books and publications
• Director of the Mathematical Association of American (MAA) American Mathematics Competitions for 5 years
• Has contributed hundreds of problems to various math competitions including up to and including the IMO
• Co-founder of the Purple Comet! Math Meet, the first international team based math competition
• Founder and Director of AwesomeMath, an organization that provides enriching experiences in mathematics to intellectually curious learners

Following is a chart of important dates and resources which will enrich the mathlete’s competition experience:

 Date Competition Resource October 15, 2013 Round 1 USAMTS Mathematical Olympiad Challenges, Mathematical Olympiad Treasures, Mathematical Reflections – all volumes November 18, 2013 Round 2 USAMTS Mathematical Olympiad Challenges, Mathematical Olympiad Treasures, Mathematical Reflections – all volumes November 19, 2013 AMC 8 Purple Comet! Math Meet:  All Ten Years, 105 Algebra Problems December 7, 2013 Putnam Problems from the Book, Straight from the Book, Putnam and Beyond January 6, 2014 Round 3 USAMTS Mathematical Olympiad Challenges, Mathematical Olympiad Treasures, Mathematical Reflections – all volumes 10A:  February 4, 2014 10B:  February 19, 2014 AMC 10 105 Algebra Problems, 106 Geometry Problems, 107 Geometry Problems,108 Algebra Problems (coming soon) 12A:  February 4, 2014 12B:  February 19, 2014 AMC 12 Mathematical Reflections – all volumes, 105 Algebra Problems, 106 Geometry Problems, 107 Geometry Problems,108 Algebra Problems (coming soon) AIME I:  March 13, 2014 AIME II: March 26, 2014 AIME Purple Comet! Math Meet: All Ten Years, Mathematical Reflections – all volumes April 1-10, 2014 Purple Comet! Math Meet Purple Comet! Math Meet:  All Ten Years April 29-30, 2014 USAMO Problems from the Book, Straight from the Book, Topics in Functional Equations, Math Olympiad Challenges, Math Olympiad Treasures July 2014 IMO (South Africa) Math Olympiad Challenges, Mathematical Olympiad Treasures, Mathematical Reflections – all volumes

## 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?”