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Department of Mathematics and Computer Science

W.C. Morris Building, Room 222
Warrensburg, MO 64093
P:660-543-4930 F:660-543-8013
Dr. Xiaodong Yue, Department Chair





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Thesis

A student is strongly encouraged to take the Thesis option, if he/she plans to continue onto a doctoral program. Mathematics faculty at UCM are actively engaged in research activities which result in peer-reviewed journal articles and conference proceedings publications. In addition, Mathematics faculty attend and/or present at professional meetings, participate in workshops/seminars in areas related to their specialties and are involved in other related professional activities (e.g. editor of a professional journal, referee for peer-reviewed journals and conference proceedings, hold an office in a regional, national or international organization, etc.). Faculty areas of interest include Algebra, Analysis, Topology, Differential Equation, Control Theory, Cryptology, Number Theory, Statistics, Actuarial Science, etc. The following is a list of our recently completed Thses.

Year
Thesis Title
2012
Nth Roots of Matrices
2012
Characteristics of Counter Example Loops in the Collatz Conjecture
2012
Irreducible Divisor Simplicial Complexes
2010
Theory and Computation of Ruin Probability for Mixed Exponential Distributions
2010
Enumerating Atoms of Block Monoids
2010
Irreducible Divisor Graphs and Numerical Monoids
2009
Existence of Bounded Monotonic Solutions of Second Order Nonlinear Differential Equations
2009
Adapting Shanks' Algorithm to the Diffie-Hellman Semigroup Action Problem
2009
The Montgomery Algorithm
2008
On the Generalized Block Monoid
2007
Monotonic Solutions of Nonlinear Second Order Differential Equations
2007
Uniqueness of Taxicab Circles and Taxicab Ellipses
2006
Tales from the Crypt(ology)