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PhD Applied Mathematics at Case Western Reserve University

Case Western Reserve University, United States

Programme overview

The PhD in Applied Mathematics is awarded for demonstrated scholarly attainment and capability of original research in applied mathematics. Students must demonstrate knowledge of scientific computing, mathematical modeling and differential equations.

Faculty: College of Arts and Sciences  |  Department: Mathematics, Applied Mathematics, and Statistics  |  Duration: 36 credit hours (18 with a compatible master's degree); qualifying exams expected by end of fifth semester  |  Study mode: full-time  |  Location: Cleveland, OH, United States

What you will study

Required courses are MATH 431 Numerical Analysis I, MATH 441 Mathematical Modeling, one of MATH 432 or 433, and one of MATH 435 or 445, plus approved electives. Sample study plans cover scientific computing, imaging, life science and stochastics. Students pass two written qualifying exams, an oral area exam and a dissertation defense.

Official programme page

Application information

Entry requirements

School of Graduate Studies (graduate programmes): applicants need good academic records from fully accredited institutions. Non-native English speakers need TOEFL iBT 90 for tests before 20 January 2026 (5 band score from that date), TOEFL PBT 577, IELTS 7 or PTE Academic 61; some programmes set higher minimums. A compatible master's degree reduces the coursework requirement to 18 credit hours.

Requirements published at program group level.

Tuition is charged per credit, so the total depends on the modules you register for each year. Current fees are listed in the official fee schedule.

Duration: 36 credit hours (18 with a compatible master's degree); qualifying exams expected by end of fifth se

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