Florida International University

What you'll study

The PhD in Applied Mathematics combines rigorous coursework with original research leading to a dissertation. Early in the programme students take advanced foundation courses that typically include real analysis, numerical analysis, partial differential equations, and mathematical modelling. Core and elective topics reflect the department's strengths and may include:

• Numerical methods for PDEs and scientific computing
• Computational linear algebra and high-performance computing
• Dynamical systems and bifurcation theory
• Optimization and control theory
• Stochastic processes, probability and uncertainty quantification
• Inverse problems and data assimilation
• Mathematical biology and population dynamics
• Machine learning and mathematical data science methods

Programme structure typically includes a period of coursework, qualifying examinations or assessments to establish candidacy, a proposal defence, and dissertation research under the supervision of a faculty advisor. Students gain practical experience through computational projects, collaborations with faculty in applied disciplines, and opportunities to teach or assist in undergraduate courses.

Entry requirements

Applicants are expected to hold a strong undergraduate degree in mathematics, applied mathematics or a closely related discipline; many successful applicants already hold a master's degree. A solid background in advanced calculus, linear algebra, differential equations and numerical methods is required. The application package should include official academic transcripts, a curriculum vitae, a statement of research interests, and letters of recommendation. International applicants must demonstrate English language proficiency according to university policy. Admission decisions also consider research potential, prior coursework and fit with faculty research interests.

Career prospects

Graduates of the PhD in Applied Mathematics pursue careers in academia as researchers and faculty, and in industry and government as quantitative scientists, research engineers and technical leaders. Typical roles include:

• Postdoctoral researcher or university faculty in mathematics, engineering or computational science
• Research scientist or applied mathematician in national laboratories and research institutes
• Quantitative analyst, modeller or algorithm developer in finance, energy, aerospace and technology firms
• Data scientist and machine learning researcher in industry, healthcare and biotech
• Consultant or specialist in optimisation, simulation and uncertainty quantification for engineering projects

Doctoral graduates leave with advanced analytical, modelling and computational skills that are in demand across sectors that rely on quantitative problem-solving.

Why study at Florida International University

Florida International University offers a PhD environment with access to faculty active in a broad range of applied mathematics areas and collaborative links across engineering, physics, biology and computing. Students benefit from FIU's computing infrastructure and opportunities for interdisciplinary projects with local industry and research partners in the Miami region. The department provides mentorship from research-active faculty, teaching and professional development opportunities, and a diverse international community. Financial support is commonly available through teaching and research assistantships, which also provide valuable experience in communication and instruction.