BSc Hons Applied Mathematics

3 Years On Campus Bachelors Program

Swansea University

Program Overview

Swansea University’s BSc (Hons) Applied Mathematics gives you a strong foundation in both pure and applied mathematical methods, helping you understand how mathematics shapes solutions in science, finance, engineering, computing, and data. It’s ideal for students who enjoy problem-solving and want to use mathematics to model real systems, analyse patterns, and tackle practical challenges.

Curriculum Structure

Year 1

Your first year builds essential mathematical skills through modules such as Foundations of Algebra, Geometry: Mathematics, Logic and Communication, and Introduction to Modelling and Simulation. You’ll develop a clear understanding of how to construct proofs, communicate mathematical ideas, and build simple models of real-life systems. This year ensures you gain the analytical base needed for higher-level applied mathematics.

Year 2

In the second year, you move into deeper and more applied areas. Modules like Game Theory and Optimisation, Metric Spaces and Measure Theory, and Multi-variable Analysis give you strong knowledge of strategic modelling, rigorous mathematical analysis, and the behaviour of complex functions. You also study applied probability in modules such as Credibility, Liability and Ruin, which connect mathematics with financial risk and actuarial concepts.

Year 3 (Final Year)

Your final year focuses on advanced modelling and specialisms within applied mathematics. Modules may include Dynamical Systems, Machine Learning, Time Series and Risk Models, Financial Mathematics, and Biomathematics. You will also complete an independent dissertation, allowing you to conduct a substantial mathematical investigation in an area that interests you — from data science to physical modelling.

Focus Areas

Applied modelling, financial mathematics, dynamical systems, machine learning, probability and risk, analysis, biomathematics.

Learning Outcomes

You’ll learn how to build and analyse mathematical models, apply advanced calculus and algebra, use statistical and computational tools, communicate mathematical ideas clearly, and conduct independent research. By graduation, you’ll be able to tackle complex, real-world problems using rigorous mathematical methods.

Professional Alignment (Accreditation)

The degree is accredited by the Institute of Mathematics and its Applications (IMA) and contributes toward the educational requirements for achieving Chartered Mathematician status with relevant professional experience.

Reputation (Employability & Rankings)

Swansea’s mathematics department has a strong UK reputation, consistently performing well in student satisfaction and subject rankings. Graduates progress into careers in data science, finance, actuarial science, research, modelling, analytics, computing, and consultancy, supported by Swansea’s strong industry and research links.

Experiential Learning (Research, Projects, Internships etc.)

Swansea University’s Applied Mathematics degree is built around hands-on problem solving, modelling, and real-world application. From your first year, you work directly with computational tools, mathematical modelling environments, and datasets that mirror challenges faced in industries such as finance, engineering, data science, climatology, and research.
You’ll have access to specialised mathematics and computing facilities, opportunities for group problem-solving workshops, and the chance to engage in placements or research-connected projects within Swansea’s STEM-focused environment.

Experiential learning includes:

Use of advanced mathematical and computational software for modelling and data analysis
Group problem-solving workshops that simulate real industry scenarios
Research-led teaching supported by active mathematicians working in modelling, computation, and analysis
Access to specialist computing labs used for numerical analysis and simulations
Opportunities for work placements or summer research through the university’s established STEM networks
Final-year mathematical modelling project focusing on a practical real-world application
Participation in the Russell Group–style problem-solving and skills sessions run within the maths department

Facilities and Support

Students in Applied Mathematics benefit from Swansea’s strong STEM and research infrastructure, particularly within the College of Science and Engineering.

Specialist mathematics computing laboratories
Access to high-performance computing resources for modelling and simulation
The Mathematics Department’s study and collaboration spaces
State-of-the-art library facilities with extensive mathematical, statistical, and research resources
Support from the Swansea Maths Café, problem-solving sessions, and academic skills workshops
Access to the university’s Centre for Applied Mathematics and interdisciplinary research groups

Progression & Future Opportunities

Graduates from Swansea University’s BSc (Hons) Applied Mathematics move into high-impact roles across finance, data science, engineering, modelling, technology, and research. The degree opens the door to diverse analytical and problem-solving careers.

Typical job roles include:
• Quantitative Analyst / Financial Modeller
• Data Scientist or Machine Learning Engineer
• Mathematical Modeller (in finance, biology, physics, or engineering)
• Operations Research or Risk Analyst

How Swansea supports your employability:
• Access to Swansea’s Careers & Employability Team, offering workshops, employer talks, internships guidance, placement support, and one-to-one career coaching.
• Academic support from the Centre for Academic Success, including help with maths and statistics, revision skills, and academic writing.
• A Personal Tutor assigned to every student, along with peer mentoring schemes.
• Opportunities for study abroad and a 4-year variant that includes a year in industry, giving hands-on experience with real companies.
• Strong graduate salary outcomes, with mathematics graduates typically progressing into well-paid analytical and quantitative roles.

University–Industry & Research Connections:
• The programme is taught within a research-active department known for work in areas such as cancer modelling, quantum mechanics, dynamical systems and stochastic processes.
• Students benefit from the Computational Foundry, a state-of-the-art facility that supports advanced computational and mathematical research.
• Industry-linked projects and the year-in-industry option allow students to apply mathematical tools directly in business, technology, or scientific settings.

Long-Term Accreditation Value:
• The degree provides the educational foundation needed to pursue Chartered Mathematician (CMath) status through the Institute of Mathematics and its Applications (following additional professional experience).
• You gain in-demand skills such as modelling, data analysis, programming, logical reasoning and quantitative problem-solving — all of which hold long-term career value.

Graduation Outcomes:
• In your final year, you undertake an independent dissertation project, allowing you to specialise in areas such as mathematical biology, financial mathematics, or physical modelling.
• You graduate ready to design sophisticated mathematical models, analyse complex datasets, optimise systems, and contribute to research or strategic decision-making across multiple sectors.

Further Academic Progression:

After completing this degree, students can continue into postgraduate pathways such as an MSc in Applied Mathematics, Mathematical Modelling, Data Science, or Machine Learning. Those interested in advanced research can pursue a PhD in Mathematics, Computational Science, Mathematical Biology, or related fields. You can also specialise through industry-focused master’s degrees in Quantitative Finance, Risk Analytics, or Operations Research.