Middlebury: Senior Thesis
http://www.middlebury.edu/academics/math/requirements/seniorthesis
enSenior Thesis
http://www.middlebury.edu/academics/math/requirements/seniorthesis/node/13871
<p><strong>The Mathematics Department</strong> is one of several departments at Middlebury that requires a senior project. MATH 0704 is intended to be the capstone experience in the major, where, working with the friendly assistance of a faculty advisor, students independently explore in significant depth a topic of their own choosing.</p>
<p>In addition to meetings with your advisor, you will meet regularly throughout the semester with your fellow thesis companions to discuss progress, commiserate, and practice the presentation that you will give at the end of the term. There are lists of suggested topics, but some of the most interesting projects are initiated by student suggestions. Perhaps you have taken a course that you sincerely enjoyed and want to learn more about the subject. Perhaps you have read something in a recent journal or heard something at a seminar talk about a new theory or algorithm that you would like to investigate. Often it helps to have conversations with professors you have worked with in previous classes about subjects that they think would be interesting. Areas not covered in the department's elective offerings are fruitful ground for thesis topics.</p>
<p>Bound copies of all theses are retained in a collection of the Middlebury College Library. All of the theses from the previous four or five years are bound and available for browsing in the department's suite in Warner. As you look at the work of your peers you will notice the wide variety of topics students have undertaken. In some cases, the research is a survey of known results of interest to the author, in some cases it is an application of a learned technique to a new problem, and in some exceptional cases there is an attempt to do original research into a previously unsolved problem. No matter what you decide to do, you will get the experience of:</p>
<ul>
<li> researching mathematical literature, </li>
<li> working independently, </li>
<li> organizing, revising, and writing a 60-100 page paper. </li>
</ul>
<p>These skills will be of invaluable help to you in graduate or professional school or as you enter the job market.</p>
<p>Presentation day is always a festive occasion. You get to be the expert and share the results of your semester's work with friends, professors, and classmates. Though your grade does not depend on your presentation skills, this too is good practice. Mostly though, it is a day to celebrate and be proud.</p>
<p>Click to see a list of <a href="/academics/math/requirements/seniorthesis/topics">potential topics</a> suggested by faculty members. Below are actual thesis titles from previous years.</p>
<p>2011<br />Alice Bennett, A Mathematical Model for the Transmission of Fanactic Ideologies, Olinick<br />Sieuwerd Gaastra, Unique Prime Factorization in the Integers of Imaginary Quadratics Fields, Bremser<br />Byron Langford, A Mathematical Model in the Oil & Gas Industry, Olinick<br />Nicholas Osorio, An Introduction to the classification of Crystallagraphic Groups, Dorman<br />Benjamin Silton, Stochastic Models Use in Measuring Air Pollution Damages, Emerson<br />Steven Xu, Communication By Numbers: The Manipulation of Finite Fields in Coding Theory, Bremser<br />Jing Zhuang, Quadratic Programming, W. Peterson</p>
<p>2010<br />Neil Baron, Combinatorial Game Theory, Hex, and the Brouwer Fixed-Point Theorem, Schumer<br />Christopher Chung, Dynamics of the Discrete Logistic Equation, Dorman<br />Daniel Crow, Lie Groups, Reprsentation Theory, and the Peter-Weyl Theorem, Dorman<br />Mahash Dahal, Logistic Regressio, Emerson<br />Andrew DeLoach, Primality Testing and Factorization Methods, Schumer<br />Linh Dinh, Google PageRank and Extension, W. Peterson<br />Shi Fang, Bayesian Statistical Analysis, Emerson<br />Nathaniel Fasman, The Van der Waerden Function and Random Walks, Abbott<br />Annabelle Fowler, Simple Continued Fractions and Farey Sequences, Schumer<br />Angelo Fu, Embedded Graph Expansions, Swenton<br />Hallie Gammon, Kites and Cartwheels: Penrose's Aperiodic Tilings, Bremser<br />Benjamin Horne, The Four-Color Problem, W. Peterson<br />Benjamin Kunofsky, How long are these supposed to be? Would this work?, Abbott<br />Dallas Moody, Matroids and the Greedy Algorithm, W. Peterson<br />Thu Thi Thanh Phung, Global Dynamic Properties of Lotka-Volterra Systems, Olinick<br />Richard Saunders, The Condorcet Principle, Olinick<br />Jinzhi Shao, Using Linear Programming to Price American Perpetual Warrants, Olinick<br />Lauren Vollmer, Words, Words, Words: An Investigation of the Etymological Distribution of Shakespeare's I Henry IV, W. Peterson<br />Patrick Walsh, Evaluating Credit Risk to Calculate Capital Requirements, Emerson<br />Shengen Zhai, Information and Optimal Betting System, W. Peterson</p>
<p>2009<br /> Cepan Chen, The Binomial Asset Pricing Model for Options, W. Peterson<br /> Alexander Glaser, Finite Fields and Their Cryptographic Applications, Bremser<br /> Sarah Ladner, Gauss, Eisenstein, and Pythagoras: An Introduction to Algebraic Number Theory and Some Implications for the Construction of Triangles, Bremser<br /> Victor Larsen, Hyperbolic Structures on Knot Complements, Swenton<br /> Phuong Chi Le, The Foundations of Riemannian Geometry, Proctor<br /> Benjamin Liang, The Probabilistic Method in Combinatorial Applications, Schmitt<br /> Olivia Minkhorst, Arts and Crafts with Riemann Surfaces, Proctor<br /> Benjamin Molberger, Combinatorial Game Theory, Schmitt<br /> Kathryn Patton, Fourier Series in Hilbert Space, Abbott<br /> Mengzhe Zhou, Constrained Optimization, W. Peterson<br /> Yijie Zhu, Inequalities and Their Applications in Analysis and Applied Mathematics, Abbott</p>
<p>2008<br /> Sarri Labib Al-Nashashibi, Adaptive Error Correcting Codes, Schmitt<br /> Hasat Cakkalkurt, Evolutionary Game Theory, Olinick<br /> Ellen Dickson, Deterministic Mathematical Models of Colorectal Tumor Growth, Olinick<br /> Owais Gilani, Logistic Regression, Emerson<br /> Karen Levin, Google PageRank, W. Peterson<br /> Stephanie Levine, Waring's Problem, Schumer<br /> Saitulaa Naranong, The Simplicial Homology Groups - and Their Topological Invariance, Swenton<br /> Emily Ovitt, Aperiodic Tilings, Bremser<br /> Samuel Shoutis, Manifolds: Topology, Differentiability, and Beyond..., Proctor<br /> Jeffrey Wehrwein, Random Number Generation, Emerson</p>
<p>2007<br /> Anna R. Blasiak, Graph Pebbling, Schmitt<br /> Tamara Bogojevic, Matrix Groups, Proctor<br /> Lawrence Budasoff, Don't Take the Pencil Away from the Child...The Imp.of Student-Cent. Lrng., Bremser<br /> Andrew Harger, Principal Component Analysis, W. Peterson<br /> Cameron Palmer, The Riemann Zeta Function , Abbott<br /> Kanchan Pathak, Dynamics in Planar System, Swenton<br /> Kristin Thorpe, Modeling Social Mobility with Markow Chains, Olinick<br /> Magdalena Widjaja, The world isn't flat after all - An exploration of non-Euclidean geometry, Proctor</p>
<p> </p>
<p><a href="/media/view/37171/original/Thesis_Titles_Prior_Years.pdf"><img src="/sites/all/modules/media/icons/pdf_icon.gif" border="0" alt="Previous Years Thesis Titles" title="Previous Years Thesis Titles" width="12" height="12" /></a><a href="/media/view/37171/original/Thesis_Titles_Prior_Years.pdf">Previous Years Thesis Titles</a></p>
Tue, 10 Jan 2012 20:10:01 +0000Naomi Neff nneff@middlebury.edu13871 at http://www.middlebury.edu