University of Dayton

What you'll study

The Applied Mathematics curriculum builds a strong foundation in pure and applied mathematical methods and pairs that foundation with practical computational skills. Core coursework typically includes multivariable calculus, linear algebra, ordinary differential equations and real analysis, together with applied topics such as numerical analysis, mathematical modelling, partial differential equations and optimization.

• Calculus sequence and multivariable calculus
• Linear algebra and matrix methods
• Differential equations (ordinary and partial)
• Real analysis or advanced calculus
• Numerical analysis and scientific computing (with programming in MATLAB, Python or similar)
• Probability, mathematical statistics and stochastic modelling
• Optimization, discrete mathematics and operations research
• Electives in applied areas such as computational fluid dynamics, mathematical biology, financial mathematics or data science
• Capstone experience: senior project or research practicum, often involving interdisciplinary collaboration with engineering, physics or business

Students gain hands‑on experience through laboratory exercises, computing assignments and opportunities for undergraduate research with faculty. The programme emphasises modelling physical, biological and social systems, and teaches students to translate applied problems into mathematical form and to validate solutions with data and simulations.

Entry requirements

Applicants should have a strong background in high school mathematics, typically including pre‑calculus and calculus. Successful candidates demonstrate proficiency in algebra, trigonometry and introductory calculus; Advanced Placement calculus, A‑levels, International Baccalaureate Higher Level Mathematics, or equivalent college coursework are advantageous.

Typical admission criteria include a competitive high school record across academic subjects. International applicants are expected to meet the University of Dayton's general international admission standards, including evidence of English language proficiency if English is not the applicant's first language.

Where relevant, the department recommends preparation in introductory programming or willingness to learn programming early in the degree. Transfer applicants should present college transcripts showing calculus and introductory linear algebra completed for degree credit.

Career prospects

Graduates with a Bachelor’s in Applied Mathematics are well positioned for a wide range of careers that require quantitative reasoning, modelling and computation. Common entry roles include:

• Data analyst or data scientist roles in industry, healthcare, and government
• Actuarial and risk analysis positions in insurance and finance
• Operations research and optimisation analyst roles in logistics and manufacturing
• Quantitative analyst or modelling positions in finance and trading
• Software development and scientific programming jobs
• Technical roles in engineering, energy, and biotechnology firms
• Secondary school teaching or further study toward graduate degrees (MSc, PhD) in applied mathematics, statistics, engineering or computer science

Many students augment their degree with internships, co‑op placements or summer research experiences that lead to full‑time employment. The analytical and computational skills acquired are transferable across sectors and valued by employers seeking problem solvers.

Why study at University of Dayton

The University of Dayton offers a student‑centred learning environment with relatively small class sizes and accessible faculty who are active in applied and interdisciplinary research. The department emphasises hands‑on learning, with opportunities for undergraduate research projects, capstone design and close collaboration with engineering and science departments.

Students benefit from on‑campus resources for computing and labs, as well as career support services that help secure internships and employment in the Dayton region and beyond. The University’s emphasis on experiential education and its connections with local industry and national research networks create pathways from coursework to practical experience and employment.

Finally, the campus environment supports holistic development—students find opportunities for leadership, service and study abroad that complement technical training and prepare graduates for responsible professional careers.