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Mathematics Ph.D.
Doctoral Degree
Program type:
Major
Format:
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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Request More InfoWhy 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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