Georgetown University

What you'll study

The Computational Mathematics concentration builds from a core of pure and applied mathematics into courses emphasising numerical methods, scientific computing and algorithmic thinking. Early coursework typically covers multivariable calculus, linear algebra, differential equations and discrete mathematics to establish a firm theoretical foundation.

• Core theoretical modules: real analysis, advanced linear algebra, ordinary and partial differential equations.
• Computational and applied modules: numerical analysis, scientific computing, numerical linear algebra, numerical solutions of PDEs and computational modelling.
• Computer science and data modules: programming for mathematicians, algorithms and data structures, probability and mathematical statistics, introduction to machine learning or computational statistics.
• Electives and interdisciplinary options: optimisation, computational geometry, cryptography, mathematical biology, financial mathematics, or courses from the Computer Science department.
• Capstone experience: many students complete a senior thesis, an independent research project with a faculty advisor, or a practicum project that applies computational methods to a domain problem.

Students also have access to project-based classes and research opportunities that use high-performance computing environments and scientific software packages. The programme emphasises both rigorous proofs and hands-on numerical experimentation.

Entry requirements

Admission to Georgetown’s undergraduate programmes is competitive and based on a holistic review of academic records, recommendation letters and personal statements. For the Mathematics major, applicants are expected to demonstrate strong preparation in mathematics and quantitative reasoning.

• Typical preparation: high-level secondary mathematics (for example A-levels, IB Higher Level or equivalent) with calculus and strong performance in quantitative subjects.
• Programming background: one year of high school programming or evidence of self-directed coding experience is strongly recommended but not strictly required.
• Coursework: familiarity with algebra, precalculus and introductory calculus is essential; physics and additional STEM coursework are favourable.
• Transfer and internal progression: current Georgetown students wishing to concentrate in Computational Mathematics should meet departmental GPA thresholds and complete prerequisite courses before declaring the concentration.

For precise application procedures and documentation requirements consult Georgetown’s undergraduate admissions resources.

Career prospects

Graduates with a Computational Mathematics degree are prepared for a wide range of quantitatively demanding careers. The combination of mathematical rigour and computational skills is valued in industry, government and academia.

• Technology and software engineering roles: algorithm design, software development and data engineering.
• Data science and analytics: roles in machine learning, statistical modelling and business intelligence across sectors.
• Finance and consulting: quantitative analyst, risk modelling, actuarial and investment analytics positions.
• Government and policy research: analytic roles in federal agencies, national labs and policy think tanks, especially given Georgetown’s Washington, DC location.
• Graduate study and research: preparation for master's and doctoral programmes in mathematics, computational science, statistics, computer science or related fields.

Students often enhance employability through internships, research assistantships, collaboration with faculty on publications, and participation in practicum projects with industry or government partners.

Why study at Georgetown University

Georgetown combines a strong liberal arts tradition with opportunities for interdisciplinary collaboration. The Mathematics department offers close faculty mentoring, small seminar-style classes at advanced levels, and access to research projects that bridge mathematics, computer science and applied domains.

• Location advantage: Washington, DC provides unique access to internships and employers in government, policy, finance and technology.
• Interdisciplinary pathways: easy cross-registration with Computer Science, Economics, Biology and Engineering-related programmes to tailor a bespoke computational profile.
• Research and experiential learning: students can join faculty-led research, complete a senior thesis or undertake practicum projects with external partners.
• Career support and alumni network: the university’s career services and a global alumni community help students transition into graduate study or the workforce.

Together these elements make Georgetown a strong choice for students seeking a rigorous mathematical education grounded in computational practice and real-world application.