Graduate: PhD Program

The PhD Program

In 2008, UNCG became the only university in the North Carolina system to offer a PhD in Computational Mathematics.  Following the advent of the computer, computational mathematics has emerged as an exciting and rapidly growing area mathematical sciences.

The Doctor of Philosophy in Computational Mathematics offers students an opportunity to follow a Computational Mathematics Track or a Computational Statistics Track. In Computational Mathematics Track, currently offered dissertation topics include Combinatorics, Control Theory, Differential Equations, Geometric Group Theory, Mathematical Biology, Number Theory, Numerical Analysis, and Computational Topology. Choice of dissertation topics in the Computational Statistics Track include Design of Experiments, High Dimensional Data Analysis, Nonparametric and Robust Methods, Sampling, Spatial Statistics, and Statistical Genetics.

The PhD program is a 48 semester-hour program designed for students who hold a Bachelor’s or Master’s Degree in mathematics, statistics, or a closely related area.  Students must include 18-21 hours of dissertation (MAT 799) in the required hours.  This challenging and rigorous program culminates in the defense of an original dissertation that is suitable for publication in a refereed journal.  Upon completion of this degree the successful student will be capable of producing new results in their chosen area of research.

SLO 1: Broad Understanding

Students demonstrate broad understanding by reproducing results and definitions at the introductory Ph.D. level.

SLO 2: In Depth Study

Students discover new results and defend these results in a specific area of computational mathematics that goes beyond the introductory PhD level.

SLO 3: Synthesis and Written Communication

Students combine their knowledge from graduate course work, individual readings, and their own original research and communicate this research and its significance in writing.

SLO 4: Oral Communication

Students defend their research findings orally.

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