Student Research

Directed by Dr. Padraig McLoughlin


  This page contains links to the abstracts of papers or presentations made by students of Padraig McLoughlin.  The papers are in PDF form I recommend one download a copy of

Adobe’s Acrobat Reader  which is available at http://www.adobe.com. 

  

Students Theses or Papers Directed by Padraig McLoughlin (chronological order):

 

Khan, Kevin M. (2000, Fall). On Dedekind Cuts.

Paper presented at the annual Mapp Undergraduate Symposium, Atlanta, GA.

 

Baldeau, Jason D. R. (2001, Fall). On Measurable Sets and Functions.

Senior Seminar Department of Mathematics, Morehouse College.

 

Barrett, Galen R. (2001, Fall). On Metric Spaces and the Hausdorff Metric.

Senior  Seminar Department of Mathematics, Morehouse College. Paper presented at the annual Mapp Undergraduate Symposium, Atlanta, GA.

 

Chisolm, Ian Peter (2002, Spring). On Riemann-Stieltjes Integration.

Senior Seminar Department of Mathematics, Morehouse College.

 

McConey, H. Darryl (2002, Fall). On the c2 Distribution and Goodness-of-fit Statistics.  

Senior Seminar Department of Mathematics, Morehouse College.

Paper presented at the annual MathFest Undergraduate Conference of the National Association of Mathematicians, Baton Rouge, LA.

 

Niles, Norman (2002, Fall). An introduction to, some results from, and applications of  Item Response Theory.

Senior Seminar Department of Mathematics, Morehouse College.

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Ali, Riyadh (2003, Spring). Aspects of Point-Set Topology.

Senior Seminar Department of Mathematics, Morehouse College.

 

Butler, Kwesi M. (2003, Spring). On Cardinal and Ordinal Transfinite Arithmetic.

Senior Seminar Department of Mathematics, Morehouse College.

 

Bluford, Dontrell (2003, Spring). A prelusive study of the Gamma function.

Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.

 

McConey, H. D. (2003, Spring). A comparative study of the Pearson Chi-Square and  Kolmogorov-Smirnov Goodness of Fit Tests.

Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.

 

Person, Gordon (2003, Spring). A study of the correlation coefficient.

Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.

 

Pittman, Jamaal (2003, Spring). Aspects of moment generating functions.

Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.

 

Elliott, J. Russell (2003, Fall). On Fibonacci numbers and Fibonacciesque numbers.

Senior Seminar Department of Mathematics, Morehouse College.

                                                                                             13 

Wilkins, Robert (2003, Fall). A study of simple linear regression.

Senior Seminar Department of Mathematics, Morehouse College.

 

Bluford, Dontrell & Wilkins, Robert (2004, Spring). An analytical and empirical study of the statistical theory of regression.

Paper presented at the annual Walton Undergraduate  Mathematics Symposium, Atlanta, GA.

 

Rucker, William (2004, Spring).  On Several Mathematical Means: Theory and Application.

Senior Seminar Department of Mathematics, Morehouse College.

 

Coln, Anthony (2004, Fall). On the Piquant Cantor set.  

Senior Seminar Department of Mathematics, Morehouse College.

 

Potts, Jonathan (2004, Fall). On Variance, Covariance, and Correlation. 

Senior Seminar Department of Mathematics, Morehouse College.

 

Coln, Anthony (2005, Spring). An extension of a function on the classic Cantor middle third set.

Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.

 

 Jackson, Anthony (2005, Spring). On Cantor’s theory of transfinite arithmetic. 

Senior Seminar Department of Mathematics, Morehouse College.

                                                                                      20 

Maxwell, Michael (2005, Spring). On generalised logic.

Senior Seminar Department of Mathematics, Morehouse College.

 

Potts, Jonathan (2005, Spring). On the Pearson Product-Moment Correlation: Theory and Application.

Paper presented at the annual Mapp Undergraduate Research Symposium, Atlanta, GA.

 

Camps, David. (2005, Spring). A Study of the Single Variate Beta Distribution and the Bivariate Dirichlet Distribution.

Senior Seminar Department of Mathematics, Morehouse College.

 

Howe, Bradley (2007, Spring). On the Trinomial Distribution and Generalisations.

Senior Seminar Department of Mathematics, Kutztown University of Pennsylvania.

 

Krizan, Christopher (2008, Spring). On Cantor numbers and Cantoresque Sets.

Senior Seminar Department of Mathematics, Kutztown University of Pennsylvania.

 

Fichthorn, Samantha (2008, Spring). On The Dirichlet Distribution: An Analytic and Empirical Study of Aspects of Dirichlet Random Variables.

Honours College Senior Thesis, Kutztown University of Pennsylvania.

 

Fichthorn, Samantha (2008, Spring). On Aspects of Dirichlet Random Variables.

Paper presented at the 9th Annual Undergraduate Research and Creativity Conference, the Higher Education Council of Berks County, Kutztown, Pennsylvania.

 

Krizan, Christopher (2008, Fall). A Prelusive Investigation of Cantor and Cantoresque Sets.

Paper presented at the Kappa Mu Epsilon Central Pennsylvania Mathematics Conference at Bloomsburg Univ. of Pennsylvania, Bloomsburg, Pennsylvania.

 

Krizan, Christopher (2008, Fall). A Rigorous Investigation of Sets With Hausdorff Dimension in [0, 1] 

Paper presented at the Eastern Pennsylvania - Delaware Section (EPaDel) of the Mathematical Association of America 

Conference at Ursinus College, Collegeville Pennsylvania.

 

Bongco, Andrea M. K. (2009, Fall) An Apercus Study of Cardinality and Ordinality

 Presented at the Conference on Undergraduate Research in Mathematics (CURM) at the Pennsylvania State University in State College, PA.

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Bongco, Andrea M. K. (2010, Spring) Transfinite Numbers: How Titchy or Capacious Are They?

Presented presented at the Eastern Pennsylvania - Delaware Section (EPaDel) of the Mathematical Association of America 

Conference at Elizabethtown College, Elizabethtown, Pennsylvania.

 

Last updated: 24 April 2010

© 2000 - 2010, M. P. M. M. McLoughlin