Applied Mathematics (Hons) Swansea University

Overview

The BSc Applied Mathematics (Hons) degree at Swansea University gives you a strong grounding in core mathematical theory and shows how these ideas are used in real-world problems. It covers key topics such as linear and abstract algebra, real and complex analysis, probability and differential equations, and explores how these mathematical tools are applied in areas like game theory, financial markets, cancer modelling, dynamical systems, quantum mechanics, machine learning and data science. The course develops analytical and problem-solving skills valued by employers and prepares graduates for careers in industry, science and technology or for further study.

Why Applied Mathematics at Swansea?

Swansea University ranks 13th in the UK for Applied Mathematics according to the Guardian University Guide 2026. The university is also recognised globally, being placed in the top 201-250 universities worldwide by QS World University Rankings 2025. The institution boasts strong partnerships with industry leaders and offers state-of-the-art facilities, including the £32.5 million Computational Foundry, specifically designed for mathematics students. The department is committed to providing a supportive and engaging educational experience, with a focus on research-led teaching delivered by internationally renowned faculty members.

Syllabus

The curriculum for the B.Sc. in Applied Mathematics (Hons) includes a variety of modules that cover essential mathematical concepts and their applications. The modules are structured as follows:

• Geometry: Mathematics, Logic and Communication
• Modelling and Simulation
• Mechanics and Dynamics
• Analysis 1
• Algebra
• Linear Algebra
• Differential Equations
• Probability Theory
• Mathematical Modelling: Theory and Practice
• Multi-Variable Analysis
• Metric Spaces and Measure Theory
• Vector Spaces
• Higher Algebra
• Biomathematics
• Complex Analysis
• Project
• Machine Learning
• Risk and Survival Models

Careers with Applied Mathematics

Graduates of the Applied Mathematics programme are highly sought after in various sectors, including finance, technology, and research. Alumni have secured positions with prestigious organisations such as AXA, British Airways, Deutsche Bank, and Shell Research. The skills acquired during the course prepare students for roles in data analysis, actuarial science, and mathematical modelling, among others. The university's Careers and Employability Team offers ongoing support to help students navigate their career paths and secure internships and job placements.