Case Western Reserve University

What you'll study

The Computational Mathematics track emphasises numerical analysis, scientific computing and the design of algorithms for large-scale problems. Core areas typically include numerical linear algebra, numerical solution of ordinary and partial differential equations, optimisation, approximation theory, and probability and stochastic methods for computation. Coursework also covers high-performance computing, numerical methods for inverse problems, and algorithmic aspects of data analysis and machine learning.

• Core modules: numerical analysis, scientific computing, advanced linear algebra, numerical solution of PDEs.
• Electives: optimisation and control, computational statistics, machine learning for scientists, finite element methods, uncertainty quantification, inverse problems.
• Programming and tools: coursework and projects typically involve Python, MATLAB, and compiled languages (C/C++/Fortran) alongside parallel computing frameworks and libraries for large-scale computation.
• Project or thesis: students complete a substantial research project or thesis, often in collaboration with faculty from mathematics, computer science, or engineering, applying computational methods to applied problems in physics, biology, finance, or engineering.

Entry requirements

Applicants are normally expected to hold a bachelor's degree in mathematics, applied mathematics, computer science, engineering or a closely related discipline, with strong preparation in calculus, linear algebra, differential equations and basic programming. Typical supporting materials include official transcripts, a personal statement outlining research or career goals, and two or three academic references.

• Academic background: solid foundation in undergraduate mathematics; coursework in numerical methods, probability or algorithms is advantageous.
• English language: applicants whose first language is not English will need to meet the university's English proficiency requirements.
• Additional materials: some applicants submit a CV, sample of mathematical writing or prior project reports; GRE scores are accepted when supplied but are not universally required—check the department's admissions guidance.

Career prospects

Graduates with a master’s in Computational Mathematics pursue a range of technically demanding careers. The programme prepares students for roles that require strong quantitative and computational skills in industry, government and academia.

• Data scientist, machine learning engineer or quantitative analyst in finance and technology firms.
• Computational scientist or applied mathematician in engineering, aerospace, energy and scientific research organisations.
• Software engineer focusing on numerical libraries, simulation software and high-performance computing.
• Research or development roles in industries such as biomedical modelling, imaging, and computational finance, or progression to PhD study in mathematics, computational science or related fields.

Why study at Case Western Reserve University

Case Western Reserve University offers a strong, research-active mathematics department with close interdisciplinary links across engineering, computer science, and the medical school. Students benefit from access to faculty whose research spans numerical analysis, computational science and applied mathematics, and from opportunities to collaborate on applied projects with neighbouring research centres and industry partners in the Cleveland area.

• Interdisciplinary environment that facilitates projects at the interface of mathematics, computing and applied sciences.
• Opportunities for hands-on work with modern computational resources and collaborations that can lead to internships or applied research experience.
• Small cohort sizes and faculty mentorship that support tailored study plans and preparation for either professional practice or doctoral programmes.