### Dec. 3rd, 2016

##### Beginner Group: Philip Yasskin on Domino Circles

**Presenter: ** Philip Yasskin

Department of Mathematics , Texas A&M University

**Abstract: **Each Domino has two halves and each half has a number usually from 0 to 6. A full set has one of each pair of numbers from double 0 to double 6. Can a full set of 0-6 dominoes be placed end to end in a circle so that every two adjacent dominoes have the same number on the adjacent halves?

##### Intermediate Group: Tamara Carter on CLUE in the Math Department

**Presenter: **Tamara Carter

Department of Mathematics, Texas A&M University

**Abstract: ** Students will explore ciphers, decipher clues, and use those clues to find the prize.

##### Advanced Group: Konrad Wrobel on Distinct Distances in the Plane

**Presenter: **Konrad Wrobel

Department of Mathematics, Texas A&M University

**Abstract: **We will look at collections of points with exactly 2 distinct distances between them and try to investigate all such collections. We’ll also work on some other problems in Euclidean geometry.

### Nov. 19th, 2016

##### Beginner Group: Alex Sprinston on Design of Combinational Circuits Using Boolean Algebra

**Presenter: ** Alex Sprinston

Department of Electrical and Computer Engineering , Texas A&M University

**Abstract: **We will start with a quick introduction to Boolean Algebra. Then, we will show how to use the rules of Boolean Algebra to construct simple logic circuits. Finally, we will introduce Karnaugh maps and show how to use them to design more efficient circuits.

##### Intermediate Group: R. Saravanan on Hash functions, Cryptography

**Presenter: **R. Saravanan

Department of Atmospheric Sciences, Texas A&M University

##### Advanced Group: Peter Kuchment on Unreasonable Effectiveness of Mathematics

**Presenter: **Peter Kuchment

Department of Mathematics, Texas A&M University

**Abstract: **Since antiquity, and especially nowadays mathematicians have been developing extremely abstract concepts, having no clear relation to reality, and “play” with them according to seemingly rather arbitrarily invented rules. In many (maybe most of) cases, the trigger for such developments is the aesthetic feeling of mathematical beauty. In this regard, mathematics is similar to other games, such as chess, go, and others. However, for some inexplicable reason, unlike other games, the mental math constructions eventually are applicable for producing practically useful results in natural sciences and engineering. The talk will be addressing this intriguing issue.

### Nov. 5th, 2016

##### Beginner Group: Eviatar Procaccia on Folding the Platonic Solids

**Presenter:** Eviatar Procaccia

Department of Mathematics , Texas A&M University

**Abstract:** The Greek philosopher Plato believed true beauty exists only in a few geometric shapes we now call the Platonic solids. We will learn why there are only five of them, and fold some of them in paper.

##### Intermediate Group: Parth Sarin on How Fast Can You Gossip?

**Presenter:** Parth Sarin

TAMU Math Circle Organizer

Undergraduate in Department of Mathematics, Texas A&M University

**Abstract:** From visiting a website to making a call, modern society depends on our ability to exchange information online. But, modern computers can’t multi-task well – they can only exchange one piece of information at a time. We’ll explore how even with this limitation, networks of computers exchange information quickly and intelligently in order to keep our lives up to date.

### Oct. 15, 2016

##### Beginner Group: Tamara Carter on CLUE in the Math Department

**Presenter: **Tamara Carter

Department of Mathematics, Texas A&M University

**Abstract: **Students will explore ciphers, decipher clues, and use those clues to find the prize.

##### Intermediate Group: Jens Forsgård on The a+b+ab Problem

**Presenter: **Jens Forsgaard

Department of Mathematics, Texas A&M University

**Abstract: **Write down the numbers from 1 to 100. Randomly select 2 numbers from the list, say a and b, and cross them off, but add to the list the number a+b+ab. You now have 99 numbers. Repeat this process until you have only 1 number left. What are all possible final numbers?

##### Advanced Group: Kim Currens & Dr. Sandra Nite on Modeling Sound Waves with Periodic Functions

**Presenters: **Kim Currens & Dr. Sandra Nite

Department of Mathematics, Texas A&M University

**Abstract: **We will use graphing calculators, calculator based laboratory (CBL), and probes to collect sound wave data. Then we will use at least two methods to model the data with a periodic function.

##### Oct. 8, 2016

##### Beginner Group: Dr. Robert Capraro on Counting Cows & 3 Bean Salad

Presenter: Dr. Robert Capraro

Department of TLAC, Texas A&M University

##### Intermediate Group: Dr. Mary Margaret Capraro on Locker Problem, Arithmagons, Magic Squares

Presenter: Dr. Mary Margaret Capraro

Department of TLAC, Texas A&M University

Abstract: These 3 problems use algebraic thinking by building habits of mind. The locker problem will focus on building rules to represent functions and doing-undoing. Arithmagons use a simple system of equations, and students will utilize intuitive and informal operation sense. The magic square problems will help develop symbol sense by requiring decisions as to when it is appropriate to invoke the use of symbols and also understand the meaning of symbolic solutions.

##### Advanced Group: Dr. Luciana Barroso & Dr. Sandra Nite on Exploring Lung Capacity

Presenter: Dr Luciana Barroso & Dr. Sandra Nite

Department of TLAC and Mathematics, Texas A&M University

Abstract: Students will use graphing calculators and calculator based laboratory (CBL) to gather and examine data for lung capacity.

### Oct. 1, 2016

##### Beginner Group: David Kerr on Random Walks and Search Engines

**Speaker:** David Kerr

Department of Mathematics, Texas A&M University

**Topic:** *Random Walks and Search Engines*

**Abstract:** Abstract:

We will investigate the notion of chance by performing experiments with random walks, and see how this can be applied to the problem of internet search.

##### Intermediate Group: Riad Masri on Explorations with Prime Numbers

**Speaker: **Riad Masri

Department of Mathematics, Texas A&M University

**Title: ***Explorations with Prime Numbers*

**Abstract: **In this activity we will explore some of the many interesting properties of prime numbers. First, we will learn how to find prime numbers using a “sieve”. We will then study questions related to differences between consecutive primes, and the distribution of primes in residue classes.

##### Advanced Group: Zoran Sunic on “Wait, was I supposed to turn left or right?”

**Speaker:** Zoran Sunic

Department of Mathematics, Texas A&M University

**Topic: ***Wait, was I supposed to turn left or right?*

**Abstract:** We will consider journeys through a kingdom in which there are three roads out of every town, and the roads only intersect at the towns. Our knight will travel around, do a good deed here and there, and will have strange ideas how to get home. We will try to find out if he ever does get home, how many times he visits the same town along the way, and how long his journeys could be.

### Sept. 24, 2016

##### Beginner & Intermediate Group: Philip Yasskin on Trapezoid Numbers

Presenter: Philip Yasskin

Department of Mathematics, Texas A&M University

Abstract: Modern cryptography gives us intricate ways to safely share secrets and protect private information. But some of the underlying ideas are very simple. We’ll see how these ideas come together in a method to share a private key when communicating over a public channel.

##### Advanced Group: Maurice Rojas on Gift Boxes, Mongoose in the Middle, and Secret Codes

Presenter: Maurice Rojas

Department of Mathematics, Texas A&M University

Abstract: Modern cryptography gives us intricate ways to safely share secrets and protect private information. But some of the underlying ideas are very simple. We’ll see how these ideas come together in a method to share a private key when communicating over a public channel.

### Sept. 17, 2016

##### Beginner Group: Ola Sobieska on Even and Odd Numbers

Presenter: Ola Sobieska

Department of Mathematics, Texas A&M University

Abstract: In this activity, we will explore the topic of odds and evens, including various ways to define these numbers, learn several useful properties, and investigate how to apply them to problem solving.

##### Intermediate Group: Dr. Ali Bicer & Dr. Sandra Nite on Dilutions

Presenters: Dr. Ali Bicer & Dr. Sandra Nite

Department of Mathematics and Department of Teaching, Learning and Culture, Texas A&M University

Abstract: This activity will use food coloring and water to perform dilutions at several levels and then decide what level water with poisons will be safe to drink.

##### Advanced Group: Philip Yasskin on Axiomatic Finite Geometries

Presenter: Philip Yasskin

Department of Mathematics, Texas A&M University

Abstract: We will study geometries with a finite number of points and lines satisfying a set of axioms.