Mathematics, PhD
Requirements for Students Matriculating in or before Academic Year 2025-2026. Learn more about Graduate College Academic Regulation 7.0.
Total Hours: 60 (Beyond the Master's Degree)
| Code | Title | Hours |
|---|---|---|
| Core Courses | ||
| Select 15 hours from one of the following tracks: | 15 | |
| Applied | ||
| Numerical Analysis for Linear Algebra | ||
| Real Analysis I | ||
| Complex Analysis I | ||
| Numerical Analysis for Differential Equations | ||
| Partial Differential Equations | ||
| Pure | ||
| Advanced Linear Algebra | ||
| Real Analysis I | ||
| Complex Analysis I | ||
| Algebra I | ||
| Geometric Topology | ||
| Mathematics Education | ||
| Advanced Linear Algebra | ||
| Select 9 hours from the following: | ||
| Real Analysis I | ||
| Complex Analysis I | ||
| Algebra I | ||
| Geometric Topology | ||
| Numerical Analysis for Differential Equations | ||
| Partial Differential Equations | ||
| Select one of the following: | ||
| Statistics for Experimenters II | ||
| Statistical Machine Learning with R | ||
| Hours Subtotal | 15 | |
| Additional Math Courses | ||
| Select 12 hours from track used for core courses. | 12 | |
| Applied | ||
In addition to the core course requirements, every plan of study must contain at least 12 hours of graduate courses in the mathematical sciences (mathematics, statistics, or computer science). | ||
| Pure | ||
In addition to the core course requirements, every plan of study must contain at least 12 hours of graduate courses in the mathematical sciences (mathematics, statistics, or computer science). | ||
| Mathematics Education | ||
| Introduction to Research in Mathematics Education | ||
| Research in Undergraduate Mathematics Education | ||
| Select 6 hours from the following: | ||
| Theoretical Foundations of Inquiry | ||
| Qualitative Research I | ||
| Psychology of Learning | ||
| Statistical Methods in Education | ||
| Hours Subtotal | 12 | |
| Preliminary Research Project | ||
| MATH 6010 | Advanced Seminar in Mathematics (Reading course with advisor) | 3 |
| MATH 6090 | Doctoral Research Project | 3 |
| Hours Subtotal | 6 | |
| Additional Graduate Courses | ||
| Combination of electives and dissertation hours to total 27 hours. | 27 | |
| Electives | ||
Select 3-12 hours. | ||
| Dissertation | ||
Select 15-24 hours. | ||
| Hours Subtotal | 27 | |
| Total Hours | 60 | |
Graduate College Doctor of Philosophy (PhD) Requirements
Learn more about Graduate College 2025-2026 Doctor of Philosophy (PhD) Degree Program Requirements. Check the General Graduate College academic regulations for minimal GPA, language proficiency and other general requirements.