Featuring T. J. Hansen | Mathematics: A Language for Discovery and Decision Making

This seminar focuses on how mathematics serves as a language for discovery in multi-disciplinary inquiries. Alternative mathematical models are introduced in the context of economic research questions in agriculture, taxation, business, and transportation. The expectations to align each model with its context and convey findings to audiences with varying levels of exposure to mathematics highlight the value of effective translators of mathematics to decision making in society.

]]>Featuring Justin James | Analyzing NIM Games

In the game NIM, two players take turns removing “stones” from one or more “piles.” In the standard version, the player who removes the last stone is declared the winner. In this talk we will discuss how a “backward reasoning strategy” and some straightforward divisibility conditions can be used to determine the optimal strategy and the correct move to play at each step in several different variants of NIM.

]]>The progress of the National Science Foundation (NSF) five-year grant MSUM received in December 2015 was presented. Recruitment and retention of future math and science teachers was the focus of the summit.

Read more on the NSF Robert Noyce Teacher Scholarship Grant.

]]>**Excellence in Service to Students**

**Alex Fogarty,**Assistant Professor, School of Media, Arts & Design

**Culture Champion**

**Faculty involved in the anti-bullying initiative/training**(Sherry Short, Dr. Laurie Blunsom, Dr. Annette Morrow, Ricky Greenwell, Dr. Andrew Chen, Alexandria Fogarty, Dr. Mary Dosch, Dr. Magdalene Chalikia)

**Excellence in Service to the Community**

**Elizabeth Evert-Karnes**, Managing Director, Center for the Arts

**Excellence in Teaching**

**Dr.****Ellen Fagerstrom,**Professor of Mathematics

**Excellence in Research and Creative Activity**

**Dr. Mary Stone,**Associate Professor, Paseka School of Business

Tammy Fitting, Director of the Math Learning Center at MSUM, presented a session titled: “Connecting Neuroscience and Education.” Also taking part in this conference was Ashley Borchardt and Abigail Christensen who served as volunteers on the technology team.

]]>Noyce Scholar applications and FAQ can be found at:

http://www.mnstate.edu/NOYCE

Due Monday Nov. 30

* Full Tuition and Partial Room & Board

We want to help answer your questions!

Join us for an information session regarding the Noyce Scholar applications and FAQ on:

• Friday (Nov. 20) 9-10 am

Langseth Hall atrium/lobby

•Monday (Nov. 23) 5:30-7 pm

Hagen Hall room 325

Or email noyce@mnstate.edu for more information.

]]>Come celebrate Minnesota State University Moorhead’s recently awarded National Science Foundation Robert Noyce Scholarship grant of nearly $1.2 million for the project, “Preparing STEM Teachers to Successfully Navigate the Urban to Rural Gradient in Outstate Minnesota.”

We will celebrate with words, food and cool science demos the new five-year award as well as the successful conclusion of the $262,000 NSF Noyce Capacity Building grant, which led to the development of an MSUM Learning Assistant Program and a summer internship program with our public school partners.

Our principal investigators: Alison Wallace (Biosciences), Steve Lindaas (Physics/Astronomy), Timothy Harms (Mathematics), Linda Houts-Smith (History, Languages, Critical Race and Women’s Studies)

**About the Robert Noyce Teacher Scholarship Program**

The program funds the training of highly qualified STEM teachers to teach in high-needs schools. Students receive full tuition scholarships that also cover partial living expenses and receive mentoring when in the classroom. Learn more at mnstate.edu/noyce.

Recent mathematics education graduates: Andria Kelly, Mike Erickson, Nick Hanson, Fernando Zamora along with Professor Tim Harms presented “Sharing First Year Teaching and Mentoring Experiences” May 2nd in Duluth. Math Learning Center Director, Tammy Fitting, presented a session on May 1st titled: “Connecting Neuroscience and Education”. Erin Giosta, a junior mathematics and mathematics education major served on the technology support team at the conference.

]]>Featuring MSUM student Monica Maus

The Mathematics Undergraduate Seminar Series presents a seminar by Monica Maus on “Young Tableaux and the Robinson-Schensted-Knuth Correspondence”.

Young Tableaux are combinatorial objects that make appearances in a range of mathematical topics. We will discuss what a Young tableaux is and how to create them, primarily by using Schensted’s bumping algorithm. We will also discuss the word of a tableaux and how Schensted’s bumping algorithm can be used on words. Furthermore, we will discuss how we can build a tableau from a given word. The Robinson-Schensted correspondence will then be discussed and how it relates to pairs of tableaux, which will be generalized to the Robinson-Schensted-Knuth correspondence.

]]>The Mathematics Undergraduate Seminar Series presents a seminar by Josiah Reiswig on “k-Dependence on Hexagonal Boards.”

Combinatorial chessboard problems are a commonly studied topic in recreational mathematics. Rather than a standard chessboard, we examine one such problem using a rhomboidal board where each space is a hexagon. In particular, taking the standard movements of a king in hexagonal chess, we investigate the maximum number of kings that may be placed on a board so that no king is attacking more than k other kings. We develop both upper and lower bounds for this number for all appropriate values of k.

]]>Featuring MSUM students Pratik Dahal and Monica Maus

The Mathematics Undergraduate Seminar Series presents two student presentations by Pratik Dahal and Monica Maus

Pratik Dahal: The Generalized Dido Problem

The generalized Dido problem is considered. The problem deals with the classical isoperimetric inequality which is explained using concepts from the Calculus of Variations. The proof will show that the equality is unique to a circle. Moreover, the problem is generalized to curves in a sphere.

Monica Maus: Hat Puzzles

Hats are a common device in mathematical puzzles. In this presentation, we will explore both competitive and cooperative versions of hat puzzles. We will discuss cases in which someone could correctly guess the color/number of his hat using logic, and other cases where a strategy can be used to increase the chance of someone correctly guess the color of his hat. We will also take a look at Erbert’s version and what an optimal strategy would be for a correct guess, particularly in the case involving three players.

]]>Featuring MSUM students Ashley Borchardt and Paige Meyer

The Mathematics Undergraduate Seminar Series presents two student presentations by Ashley Borchardt and Paige Meyer

Ashley Borchardt: Opening Doors with de Bruijn Sequences

De Bruijn sequences are a fascinating topic in mathematics that can

be applied in a variety of different scientific, and conventional, spheres of study and application. De Bruijn sequences can be found in techniques for genetic coding, computer systems and programming, and even cracking the code to a locked door. In this presentation, we will explore what a de Bruijn sequence is and answer the questions “Can they be counted, and if so, how many are there?” We will aid our exploration by examining how de Bruijn sequences relate to directed graphs and Eulerian circuits, which will allow us to enumerate these sequences using Gustav Kirchhoff’s Matrix Tree Theorem.

Paige Meyer: The Traveling Salesman Problem

Suppose there is a salesman who needs to visit a selected set of cities. We want to find which order to visit these cities to minimize the total distance traveled by the salesman, in order to minimize the money spent on gas driving from city to city. It is not a difficult problem to calculate the total distance for a few cities, but as the number of cities increases, so does the time needed to solve this problem. We do not want to spend all day deciding on which order this salesman should visit the cities, so we want to find a way to quickly compute the route the salesman should take. During this seminar, we will discuss various algorithms that aid in solving or approximating a solution for this problem relatively quickly.

]]>The Mathematics Undergraduate Seminar Series presents two student presentations by Aaron Bohl and Samantha Landstrom.

**Aaron Bohl: The 5 Color Theorem**

We will be discuss the five color theorem — a result from graph theory about coloring the regions of a map in such a way that no two adjacent regions are assigned the same color. We will examine two different proofs of this result: one using proof by contradiction and another using proof by induction. We will also briefly discuss the four color theorem and its proof.

**Samantha Landstrom: The Golden Ratio**

This presentation will focus on the golden ratio. We will look at a couple of different ways that it can be defined. We will also examine connections to the Fibonacci sequence, along with a few of its more interesting qualities. Lastly, some examples of where the golden ratio appears in geometry, architecture and art will be shown.

]]>Talk 1: Samuel Erickson

Pattern avoidance, permutations, and the Wilf-equivalence

We will begin with a brief history of pattern avoidance, along with its roots in computer science. We will move on to discuss pattern avoidance in permutations along with Wilf-equivalence. We will then look at double-lists and pattern avoidance in double-lists. Finally, we will see results for specific cases that were obtained by my research group in the REU program at Valpo University.

Talk 2: Erin Giosta

Proofs that there are Infinitely Many Prime Numbers

Since every whole number greater than 1 can be uniquely written as the product of primes, primes can be regarded as the basic building blocks of whole numbers. How many of these building blocks are there? The fact that there are infinitely many prime numbers has been known for quite some time, but many different approaches can be used to prove this fact. During this talk we will go through the proof Euclid first used to establish this result and the ideas that he needed to develop his proof. We will then dive into different proofs found by Goldbach and Erdos that produce the same result.

Wednesday, Mar. 25 | 3-3:50 p.m. | Bridges 268

By Samuel Erickson and Erin Giosta, MSUM