Fibonacci Numbers and Linear Algebra

This week our speaker is Nathan Harman, a graduating senior! His talk “Fibonacci Numbers and Linear Algebra,” will be accompanied by pizza and soda. Come enjoy the last Math Club meeting of the semester Wednesday at 5:30 in LGRT 1634.

Abstract:
The Fibonacci numbers are a sequence defined recursively by F_0=0 F_1=1 and F_n=F_(n-1)+F_(n-2) (i.e. each term is the sum of the two previous terms).  The sequence starts 0,1,1,2,3,5,8,13… and has a number of interesting identities relating the terms to one another. Linear algebra is the study of vector spaces and linear maps between them. Just how are these things related to one another? Come to math club and find out! Hated linear algebra when you took the course? Come to math club and find out why you are WRONG.  Don’t know any linear algebra? Don’t worry about it, I will go over all the relevant terms.

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Next meeting 4/25

Math Club will meet again next Wednesday 4/25 for our last meeting of the semester. See you then!

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Combinatorial rigidity and … unfolding robot arms?

This week our speaker is Stephen Oloo. His talk “Combinatorial rigidity and … unfolding robot arms?”  will be 5:30 on Wednesday in LGRT 1634. Pizza and soda will be served!

Abstract:
In this talk we will use our intuitive, physical understanding of rigidity
to define, mathematically, what it means for a graph to be rigid. We will
then examine the link between the rigidity of a graph and the number of
vertices and edges it contains (running into some high level maths along
the way). Finally we will see how these ideas can be used to prove some
cool theorems.
Don’t know what a graph is? Don’t like the sound of the word combinatorial?
Have no fear; all will be explained.

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Statistical Analysis of Social Networks

This week our speaker is Krista Gile. Her talk “Statistical Analysis of Social Networks,” will  be Wednesday at 5:30 PM in LGRT 1634. Pizza and soda will be provided with the talk. Hope to see you there!

Abstract:

Human populations are often connected by social networks of relations. Such social networks may either be of direct interest to researchers, or useful in designing sampling strategies through which to reach population members. Most existing strategies for statistical inference focus on cases where the full social network is observed. This talk will describe some types of analysis often done using social networks, then talk in detail about an application using a network to sample from a hard-to-reach population: estimating the HIV prevalence among injecting drug users.

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Computational Fluid Dynamics

This week Hans Johnston will talk about computational fluid dynamics. There will be pizza and soda with the talk. See you at 5:30 on Wednesday in LGRT 1634!

Abstract: We will discuss some current methods as well as future challenges in CFD.

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The Theory Behind the Game Set

Hi everyone,

Come celebrate Pi Day with some pizza, soda, and a great talk! This week, Jennifer Koonz will be speaking about the theory behind the game Set. There should be some time at the end of the talk to play Set ourselves!

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Three Houses and Three Utilities

This week our speaker is Elizabeth Drellich. Her talk, “The Three Houses and Three Utilities Problem: on Earth and on a Torus” will be accompanied by pizza and soda this Wednesday 3/7 at 5:30 in LGRT 1634. Hope to see you there!

Abstract:

The Three Houses and Three Utilities Problem asks, can you draw lines, called edges, connecting each of the three houses to each of the three utilities with no lines crossing each other.  The first part of the talk will explain the problem in terms of graph theory, and discuss how to tell whether a graph is planar, (i.e. can be drawn with no crossings).  But what happens when a graph isn’t planar, like the one that results from the three houses three utilities problem?  Then we have to add bridges to allow on edge to go over another.  Determining a graph’s genus tells us the minimum number of bridges needed to make sure that no two edges cross.

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Does this fittest always survive?

This Wednesday 2/29 our speaker is Konstantinos Gourgoulias. He will be talking about an application of game theory to a biological problem. Come join us for pizza and soda with the talk at 5:30 in LGRT 1634!

Abstract:

In this talk, I will present a very simple model of the interactions between four strains of the e. Coli bacterium. First of all, we will get to know the important difference between them and how that difference can be exploited in the construction of the model. Then we will see how we can use that model to get some results back and why those results could mean anything in the real world. By the end of the talk, you will have gained an idea of both the challenges and the usefulness of applied mathematics, hopefully without even realizing it.

I would really like this to be an interactive talk, so I won’t get into more specifics. Some tags for this talk could be : simulation, evolutionary game theory and (naive) Monte Carlo methods. Not familiar with those terms? Don’t worry cause I will explain anything needed.

Oh, and did I mention that we will have videos from simulations, too?

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Self-Similarity: Geometric Series, Games with Checkers, and the Golden Ratio

This week our speaker is Daniel Briggs. He will talk about “Self-Similarity: Geometric Series, Games with Checkers, and the Golden Ratio.” Come listen and enjoy free pizza and soda this Wednesday at 5:30 in LGRT 1634.

Abstract:

A lot of great math has resulted from investigating interesting ways to compare a thing to itself. For example, crystals and fractals can be formulated mathematically and studied in terms of their self-similarity, and they have far-reaching impact on science. Our first focus will be to view infinite geometric series in terms of their relationship to themselves, and use them to investigate some self-similar games with checkers. The golden ratio shows up, which provides a good opportunity to talk about pentagons and Fibonacci numbers. At the end, there will be a brief discussion of how the idea of self-similarity plays a role in modern mathematics.

 

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Working in the Symmetric Group

This week our speaker is Julie Rana. Her talk will be on “Working in the Symmetric Group or: How to talk about gift lists, spider webs, and the Rubik’s cube all at the same time.” As usual we will meet in LGRT 1634 at 5:30 PM. Pizza and soda will be served.

Abstract:
Groups are math objects that appear all over the place, from clocks to
calendars to snowflakes and of course, the Rubik’s cube. In this talk,
you’ll learn what a group is and we’ll describe a few fun examples.
We’ll then talk about my favorite example the symmetric group, and the
fact that it gives us a way to discuss all groups at once. Have a
Rubik’s cube? Bring it so we can play with it during the talk!

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