University of San Diego

What you'll study

The Computational Mathematics pathway builds a strong foundation in pure and applied mathematics while emphasising numerical methods, algorithmic thinking and scientific computing. Course work typically covers multivariable calculus, linear algebra, ordinary and partial differential equations, and real analysis alongside computation-focused modules.

• Core mathematical subjects: Calculus sequence, Linear Algebra, Differential Equations, Real Analysis or Advanced Calculus, and Discrete Mathematics.
• Computational and applied modules: Numerical Analysis, Scientific Computing, Algorithms and Data Structures, Mathematical Modelling, Computational Linear Algebra, and Numerical Solution of PDEs.
• Statistics and probability: Probability Theory, Mathematical Statistics, Applied Statistical Methods and data analysis courses often taught in collaboration with computer science or statistics departments.
• Programming and tools: Emphasis on programming in languages commonly used in scientific computing (such as Python, MATLAB or Julia), experience with version control, high-performance computing concepts and use of numerical libraries.
• Capstone and research: Senior seminar, capstone project or honours thesis involving supervised research, modelling projects, or industry-sponsored problems; opportunities for summer research with faculty.

The programme is structured across four years, combining required major courses, free electives, and general education modules from the College of Arts and Sciences. Students may take electives in computer science, engineering, physics or economics to tailor their degree toward applications.

Entry requirements

Admission to the University of San Diego requires completion of secondary education with a solid academic record; competitive applicants to the Computational Mathematics pathway will typically present strong achievement in mathematics and related subjects. Recommended preparation includes algebra, geometry, precalculus and calculus if available, and experience with scientific or computer science coursework is advantageous.

• Academic qualifications: A high school diploma with strong grades, particularly in mathematics and quantitative subjects.
• Supporting materials: Academic transcripts, a personal statement or essay that highlights interest in mathematics and computation, and letters of recommendation (often from mathematics or science teachers).
• Standardised tests: The university operates a holistic review process; applicants should consult the university for current policies on standardised test submissions.
• Preparation for placements: Incoming students may be placed into appropriate calculus or introductory courses based on prior coursework or placement assessments.
• Transfer and advanced standing: Students with prior college credit or Advanced Placement/IB qualifications may receive advanced standing for equivalent coursework subject to departmental review.

Career prospects

Graduates with a Computational Mathematics emphasis are well placed for roles that require quantitative reasoning, computational skills and modelling expertise. Common career paths include:

• Data scientist or data analyst roles across technology, finance and healthcare.
• Software or machine learning engineer positions where numerical methods and algorithm design are valued.
• Quantitative analyst or modelling roles in finance, insurance and risk management; some graduates pursue actuarial careers (which require professional exams).
• Roles in engineering, simulation and computational science within aerospace, biotech and defence sectors.
• Academic or industrial research positions, or further study at graduate level in applied mathematics, computational science, statistics or computer science.

Internships, project-based experience and collaborative research carried out during the degree enhance employability by providing practical examples of applied computation and modelling.

Why study at University of San Diego

The University of San Diego offers a small-class liberal arts environment with access to faculty who teach and supervise undergraduate research. The mathematics department emphasises interaction between theory and computation, and students benefit from hands-on experience in modern computing environments and interdisciplinary collaborations.

• Faculty and mentorship: Opportunities to work closely with faculty on research and capstone projects.
• Facilities and resources: Access to computing labs, numerical software and high-performance computing resources through campus services.
• Interdisciplinary opportunities: Easy collaboration with computer science, engineering, physics and business programmes to apply mathematical skills to diverse domains.
• Location advantages: San Diego's technology, biotech and defence sectors provide internship and employment opportunities in applied computational fields.
• Liberal arts context: A broad education with opportunities for study abroad and community engagement consistent with the university's mission.