Program type:


On Campus
Est. time to complete:

4-6 years
Credit Hours:

72 (with Bachelor's)54 (with Master's)
Explore and research relationships with numbers and find innovative new solutions for complex issues by mastering your passion for numbers.
UNT's Doctor of Philosophy in Mathematics is awarded for superior accomplishment, the attainment of a high level of scholarship and the demonstrated ability, through independent study and research, to carry out an original investigation and present the results of such investigation.

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Why Earn a Mathematics Ph.D.?

The Department of Mathematics at the University of North Texas provides a collaborative, open and academically stimulating climate for graduate study. The Ph.D. degree allows you to develop competence in several major areas of mathematics and prepares you for intensive study and research in a specialized area.

In addition to mathematical training, you’ll have opportunities to develop advanced instructional skills. These opportunities include a comprehensive training course for teaching fellows focusing on all types of instructional issues.

Marketable Skills
  • Independent research ability
  • Research writing
  • Research presentation
  • Computer literacy in LaTeX
  • Pedagogical practices

Mathematics Ph.D. Highlights

Research projects and programs are routinely supported by federal and private grants.
UNT provides a wide variety of services exclusively to graduate students. The Graduate Writing Support Center can help you with writing, and the Office of Research Consulting offers assistance with statistical research.
The Toulouse Graduate School® offers several professional development workshops, including Thesis and Dissertation Boot Camps. Many of the workshops are available online for your convenience.
Students also have access to our mathematics library, which contains more than 500 mathematics journal subscriptions, most of which are available electronically.
Almost all full-time graduate students are supported as teaching fellows or assistants. Teaching fellows also are eligible for 1.5 months of summer salary teaching or working in the Math Lab.
Many of our faculty members have published articles in respected journals, worked as consultants for various businesses and companies, and presented research at conferences and seminars. Most of them are involved in research ranging from chaos and dynamical systems to topology.

Career Outlook

The combination of high-quality mathematical training, expansive instructional training and practical teaching opportunities will give you a competitive edge in the marketplace. Our students obtain math-related employment in academic and non-academic settings.

Mathematics Ph.D. Courses You Could Take

Millican Colloquium (3 hrs)
Departmental colloquium. New research developments are presented by nationally and internationally recognized mathematicians from the U.S. and abroad. Topics vary weekly and can cover any of the subdisciplines of mathematics.
Functional Analysis (3 hrs)
Normed linear spaces; completeness, convexity and duality. Topics selected from linear operators, spectral analysis, vector lattices and Banach algebras.
Differential Equations (3 hrs)
Existence, uniqueness and approximation of solutions to linear and non-linear ordinary, partial and functional differential equations. Relationships with functional analysis. Emphasis is on computer-related methods.
Logic and Dynamics Seminar (3 hrs)
Weekly seminar series covering contemporary topics in logic and dynamical systems. Talks are given by UNT faculty and graduate students as well as by prominent visitors from other institutions. Topics vary weekly.
Topics in Ergodic Theory (3 hrs)
Basic ergodic theorems. Mixing properties and entropy. Oseledec’s multiplicative ergodic theorem and Lyapunov exponents. Applications to dynamical systems. Rational functions and Julia sets. Wandering across Mandelbrot set. Sullivan’s conformal measure. Thermodynamical formalism and conformal measures applied to compute Hausdorff measures and packing measures of attractors, repellors and Julia sets. Dimension invariants (Hausdorff, box and packing dimension) of these sets.
Infinite Processes (3 hrs)
Topics selected from infinite series, infinite matrices, continued fractions, summation processes and integration theory.

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