Key Information
- Duration: Full-time — 60 months
- Start dates & application deadlines:
- Starting January 2027 — Apply before Oct 2026
- Duolingo English Test: 115
- TOEFL iBT: 100
- PTE Academic: 53
- IELTS: 6.5
Overview
The doctoral curriculum in Applied Mathematics from University of Maryland, Baltimore County (UMBC) combines advanced core coursework in real analysis, matrix analysis, and applied analysis with specialized seminars tailored to each candidate’s dissertation research. Students demonstrate foundational mastery by passing the Master’s Written Comprehensive Examinations and qualifying coursework before advancing to specialized doctoral studies. The program requires a minimum of 18 credits of doctoral dissertation research, alongside independent studies, oral presentations, and original research contributions. Candidates formulate a research proposal under faculty mentorship, defend their dissertation proposal, and ultimately complete and orally defend an original doctoral dissertation.
Key Facts
Research in the Applied Mathematics Ph.D. program encompasses a wide range of theoretical, computational, and interdisciplinary investigation. Doctoral candidates conduct empirical research alongside departmental research groups and interdisciplinary institutes. Key research topics and specialization areas within the department include: Numerical Analysis and PDE-Constrained Optimization, Differential Equations and Dynamical Systems, Mathematical Biology and Stochastic Modeling of Biological Systems, Scientific Computing, Parallel Computing, and Industrial Mathematics; Fluid and Solid Mechanics, Optimization Theory, Convex Programming, and Interior-Point Methods; Uncertainty, Quantification and Stochastic Finite Elements; Control Theory and Intelligent Systems.
Visit the programme website for more information
Programme Structure
Courses include:
- Real Analysis
- Matrix Analysis and Applied Linear Algebra
- Applied Analysis
- Ordinary Differential Equations
- Partial Differential Equations
- Numerical Analysis and Scientific Computing
- Optimization Theory and Applications
- Dynamical Systems and Control Theory
Admission Requirements
Academic requirements
GRE®: Required
English requirements
- Duolingo English Test: 115
- TOEFL iBT: 100
- PTE Academic: 53
- IELTS: 6.5
Other requirements
GRE General Test score in 85 percentile in quantitative section required.
TOEFL score of >600 (paper), >250 (computer), or >100 (iBT) for international students whose native language is not English; solid background in mathematics and/or statistics
Fees and Funding
Tuition Fees
International: 40,309 AUD / year (≈ 29,010 USD / year)
Scholarships
Below you will find PhD's scholarship opportunities for Applied Mathematics.
- UMBC’s Premier Scholars Programs — Grant: 22,000 USD; Deadline: 15 Jan 2027; Merit-based; Provided by University of Maryland, Baltimore County (UMBC)