University of North Carolina at Chapel Hill

What you'll study

The Applied Mathematics curriculum combines foundational mathematics with computational and modelling components. You will normally begin with core calculus and linear algebra sequences and progress to courses such as ordinary differential equations, real analysis (introductory level), and probability and statistics.

• Numerical analysis and scientific computing — numerical solution of equations, error analysis, and algorithm implementation.
• Partial differential equations and dynamical systems — methods for modelling time‑dependent and spatial phenomena.
• Optimization and computational methods — deterministic and constrained optimisation techniques used in engineering and data science.
• Mathematical modelling — translating physical, biological or social systems into mathematical form and validating models against data.
• Electives linked to application domains — examples include computational biology, mathematical finance, machine learning, signal processing and fluid dynamics.
• Capstone experiences — options typically include a senior project, undergraduate research with faculty, or a practicum/internship that emphasises applied problem solving.

Students often take supporting courses in computer science (programming, algorithms), statistics, physics, or engineering to broaden practical skills. The programme emphasises both theoretical understanding and hands‑on computation, with coursework supported by lab or programming assignments using common scientific tools and languages.

Entry requirements

Applicants are expected to demonstrate strong preparation in mathematics. Typical expectations include completion of pre‑calculus and calculus in secondary education; many successful applicants have taken multivariable calculus or equivalent. High achievement across the broader secondary-school curriculum is required.

• Academic background: strong grades in mathematics and quantitative subjects; courses such as calculus, physics and computer science are beneficial.
• Standardised testing: consult the university admissions guidance for current testing policies. Advanced Placement (AP), IB or A‑level credits in mathematics may be considered for placement.
• Other materials: a complete undergraduate application, personal statement, and school reports or references as required by the University’s undergraduate admissions process.
• Transfer and international applicants: must meet the University’s transfer or international admission requirements, including documentation of prior study and English language proficiency where applicable.

Career prospects

Graduates with an Applied Mathematics degree pursue a wide range of careers that value strong quantitative and problem‑solving skills. Common destinations include:

• Data science and analytics — roles that involve statistical modelling, machine learning and large‑scale data analysis.
• Quantitative finance and risk management — positions such as quantitative analyst or model developer.
• Engineering and technology — computational modelling, simulation and software development roles.
• Actuarial science — actuarial trainee roles combined with professional exams.
• Research and graduate study — many graduates continue to master’s or doctoral programmes in applied mathematics, statistics, computer science, engineering or related fields.
• Public sector and consulting — policy modelling, operations research and technical consulting.

Undergraduates benefit from the University’s career services, internship pipelines in the Research Triangle region and opportunities for faculty‑mentored research, all of which support transitions into employment or further study.

Why study at University of North Carolina at Chapel Hill

The Department of Mathematics at UNC Chapel Hill provides a strong balance of theoretical and applied training, with faculty engaged in interdisciplinary research spanning computation, statistics, biology, physics and engineering. Undergraduate students have access to research opportunities, small upper‑level classes, and established advising for course planning and career preparation.

• Interdisciplinary links: close collaboration with computer science, statistics, engineering and sciences enables tailored elective choices and joint projects.
• Undergraduate research: multiple pathways exist to work alongside researchers or complete a substantive senior project.
• Resources and facilities: computing labs, software support and access to high‑performance computing for numerical work.
• Location advantages: proximity to the Research Triangle offers internship and employment connections with industry, national labs and startups.

Together these elements make UNC Chapel Hill a supportive environment for students who plan to apply mathematics to real problems, pursue technical careers or continue to advanced study.