## Undergraduate Research Opportunities

Each year a number of universities across the country offer summer research opportunities for undergraduates. These programs, called Research Experience for Undergraduates (REU), normally include financial support. Typically, students apply for these programs in the spring of their junior year and participate in the summer between their junior and senior years. Interested students should consult with a faculty advisor.

The American Mathematical Society has a list of REU programs, and the Mathematical Association of America has a list of some programs as well as meetings geared toward undergraduates

## Senior Honors Thesis

The senior honors thesis provides an educational enhancement opportunity for interested students. Students work one-on-one with a mathematics professor to research and report on a mathematics topic not normally covered in the traditional undergraduate curriculum. Students considering this option should discuss the possibility with a mathematics advisor during their junior year. In the first semester of your senior year, enroll in HONR 3000. In this course you work with your advisor to develop and investigate a thesis topic. In your last semester enroll in MATH 4993 where the thesis is completed. Further information about the senior honors thesis can be found at this link. The following is a list of recent mathematics theses.

Year |
Student’s Name |
Title of project |
Advisor |

2016 |
Gregory Beauregard Ryan Burkhart John Short |
The Internal Set Theory Approach to Nonstandard Analysis The Absolute Galois Gropu as a Profinite Group A Compiler for a Toy Language in a Web Browser |
Paul Fili Paul Fili K.M. George |

2015 |
Jeanine Gibson Martha Gipson James Hartford Harrison Schroeder Joshua Whitman Nina Williams |
Radius of Convergence for Complex Newton's Method Betti Numbers of Edge Ideals of Cyclic Graphs Development and Replication of the UTeach Model The Congruent Number Problem and Elliptic Curves A Theorem of Wiener EQUIVALENCE CLASSES OF GL(p) Χ GL(q) ORBITS IN THE FLAG VARIETY OF gl(p + q,C) |
Alan Noell Chris Francisco Henry Segerman Paul Fili David Ullrich Leticia Brachini |

2014 |
Anna Gunther R. Maxwell Jeter Andrew Noel Collin Nolte |
Student Performance, Experiences, and Persistence with Observed Teaching Methods in Honors Calculus I The Existence of a Continuous Function whose Fourier Series Diverges at a Point Using the Thue-Morse Sequence to Generate a New Set of Solutions for the Prouhet-Tarry-Escott Problem Topics in Numerical Analysis: Gaussian Quadrature |
Lisa Mantini David Ullrich Andrei Pavelescu Yanqiu Wang |

2013 | Cynthia Lane | Constructing the Whitehead Link Complement in Hyperbolic Space | Jesse Johnson |

2011 | James Bishop | Game Theory | David Wright |

2010 |
Lauren Smith Markus Vasquez |
Tiling the Plane with Equilateral Pentagons Algebraic Construction of Sudoku Solutions |
Lisa Mantini Chris Francisco, Anthony Kable, Lisa Mantini |

2009 |
Carlos Bernal John Knorr |
Isomorphisms of the Rotational Symmetry Groups of the Platonic Solids Soduku Solutions as Linear Maps |
Lisa Mantini Lisa Mantini |

2008 |
Michelle Leonard Ann Nawotka |
Knots and Their Polynomials Calculus Advanced Placement: How Does it Add Up? |
Benny Evans Jim Choike |

2007 |
Robert C. Foster Kelsey Miller |
Precise Ford Regions of Cyclic Kleinian Groups Can Red Rock Count? Numeracy in Canines |
David Wright John Wolfe |

2006 |
Cameron Fincher Michael B. Kelly |
Symmetry and Soduku Automorphisms of Finite Groups |
Lisa Mantini David Wright |

2005 |
David Paige Amit Sharma |
On the Finite Radon Transform Ultraspherical Harmonics |
Lisa Mantini Birne Binegar |

2004 | Nathan Pennington | Inversion of the Finite Radon Transform | Lisa Mantini |

2002 |
W. Graham Mueller Mario White |
Projective Solution Spaces of the Genus Two Surface Symmetries of the Regular Solids and Buckyball |
William Jaco Lisa Mantini |

2001 |
Nicholas Nerren Brent Scharetung |
Expressing Natural Numbers as the Sum of Squares and Triangles Wavelet Theory and Applications |
David Wright David Wright |

1999 | Charles Ratliff | Maxwell's Equations and the Conformal Group | Lisa Mantini |

1998 |
Shanna Hull Kersh Jeffery Whitworth |
Learning the Basics: A Case Study of Eighth Grade Mathematics Education in Oklahoma Eigenvalues and Diagonalizability of Totally Nonnegative, Irreducible Matrices |
John Wolfe Lisa Mantini |

1996 | Michael Holcomb | On Primary Decomposition of Monomial Ideals | Sheldon Katz |

1994 |
Chia Sien Lim |
Finite Groups and Their Representations | Alan Adolphson |

1993 | Susan Thompson | Tests and Comparisons of Two Mathematical Models for Species Distribution | Jim Choike and Lisa Mantini |

1992 |
Michael Oehrtman Jennifer Williams |
Inverson of an Integral Transform Constructability of the Regular Polygons |
Lisa Mantini Sheldon Katz |

## Applied Mathematics Track

The Applied Mathematics option is designed to prepare students for the wide variety of jobs available in government, business, and industry. This track emphasizes breadth across science and engineering courses related to mathematics. This option encourages a strong background in computational and applied mathematics. The student selects and area of application for in-depth study and a senior project.

The applied math track leads to the Bachelor of Science (B.S.) degree; there is no option availble for a Bachelor of Arts degree. See the degree sheets for specifics. You can also look at a list of upper-division math courses.

If you intend to pursue an advanced degree, it is strongly recommended that your undergraduate degree program include Advanced Calculus I (MATH 4143), Advanced Calculus II (MATH 4153), Modern Algebra I (MATH 4613), and Modern Algebra II (MATH 5013).