BSc (hons) mathematics (pure mathematics)

3 Years On Campus Bachelors Program

Keele University

Program Overview

The BSc (Hons) Mathematics (Pure Mathematics) at Keele gives you a deep and rigorous exploration of mathematical theory, combining pure mathematics, applied methods, and statistics. It’s ideal if you love abstract thinking, logical reasoning, and want to understand the structures that underpin modern mathematics.

Curriculum Structure

Year 1:
In your first year, you’ll build a strong mathematical foundation through modules like Sets, Functions and Proofs, where you’ll grasp how to write and understand rigorous proofs. You’ll also study Limits, Series and Calculus, diving into real numbers, sequences, differentiation, and integration, and take a Mathematical Methods module that revisits algebra, vectors, and trigonometry. Alongside, Mathematical Communication, Investigations and Problem Solving develops your problem-solving skills, teamwork, and your ability to present mathematical ideas clearly to others.

Year 2:
Your second year strengthens both pure and applied mathematics. You’ll learn Linear Differential Equations, equipping you with tools to model how systems change over time. In Probability, you’ll explore random variables, expectation, variance, and conditional probability. Through Computational Mathematics with Python, you'll learn numerical methods and scientific programming in Python, giving you practical computational experience. Optional modules may include Exploring Algebra and Analysis (rigorous vector spaces and theory), Complex Variables and Vector Calculus, or Abstract Algebra depending on your interests.

Year 3:
In your final year, you’ll engage with advanced pure mathematics through compulsory modules such as Group Theory, exploring algebraic structures, and Number Theory and Cryptography, where you examine primes, modular arithmetic, and applications in secure communication. You’ll also choose from a variety of optional topics — for example, Partial Differential Equations (to study waves or heat), Non‑Linear Differential Equations, or a Project (a 30‑credit supervised research or applied investigation). This year gives you the freedom to carve out a specialization in areas that excite you most.

Focus Areas

Abstract algebra, number theory & cryptography, advanced analysis, differential equations, computational mathematics, mathematical modelling.

Learning Outcomes

You’ll graduate with strong logical reasoning and proof‑writing skills, a deep understanding of algebraic and analytical structures, competence in computational tools like Python, and experience in independent mathematical research or problem-based investigation.

Professional Alignment (Accreditation)

The course is accredited by the Institute of Mathematics & its Applications (IMA), and it meets the educational requirements for the Chartered Mathematician designation (with further professional experience).

Reputation (Employability / Rankings)

Keele’s Mathematics programme ranks in the Top 5 in the UK for student satisfaction (Complete University Guide, 2026) and Top 10 for Mathematics in the Guardian University Guide (2026), reflecting both strong teaching quality and student experiences.

Experiential Learning (Research, Projects, Internships etc.)

At Keele, your Pure Mathematics degree isn’t just lecture-based—you’ll be actively engaging with abstract ideas, logical reasoning, and computational tools from early on. You’ll use well-equipped labs to run mathematical simulations, program in Python, collaboratively tackle group problems, and in your final year, undertake a deep research-style project under staff supervision. This hands-on structure helps you not just understand theory, but really use it in logic, proof, and advanced abstraction.

Here’s how the experiential part of this degree works in practice:

Computer Laboratories: Access to the School of Computer Science & Mathematics labs (200+ PCs), with both Windows and Linux environments, available 24/7.
Makerspace & High-Performance Computing: Keele’s Makerspace includes Raspberry Pis and Arduinos, and there is a CUDA GPU supercomputer cluster to support computationally intensive mathematical modelling.
Virtual Learning Environment (KLE): Lecture notes, lab sheets, interactive content, and assignments are available online for flexible learning.
Tutorials & Academic Mentoring: Regular tutorial classes for problem-solving, plus open-door mentoring with lecturers and Subject Advice Tutors for individual guidance.
Mathematical Communication & Group Projects: Dedicated modules where you work in teams on open-ended problems, present solutions, and develop logical argumentation skills.
Programming & Computational Tools: Python is used for modelling and computational work, especially in your project module, helping you translate pure mathematical ideas into code.
Final Year Project: In your third year, you can take a 30-credit project in pure mathematics—under supervision, you investigate a topic such as group theory or number theory, review literature, and present findings.
Abstract Mathematics Modules: Advanced topics like Group Theory, Number Theory, and Cryptography hone abstract thinking and proof writing.
Professional Experience Option: A flexible 75-hour work placement in the final year gives professional exposure in relevant sectors.
Library & Study Resources: Keele’s University Library offers a wide collection of mathematics books, journals, and online resources to support independent study and research.
Academic Mentor & Support: Each student is allocated an Academic Mentor and a Subject Advice Tutor to guide their academic journey, review progress, and support problem-solving.

Progression & Future Opportunities

Graduates from Keele’s BSc in Pure Mathematics gain strong logical reasoning and problem-solving skills, equipping them for careers in sectors such as finance, education, research, and technology. Typical roles include: Data Analyst, Secondary School Mathematics Teacher, Research Assistant, and Software Developer. Keele ensures students are well-prepared for the workplace through:

University Career Services: The Careers & Employability team provides personalized guidance, CV and interview workshops, and access to Keele-exclusive job boards and employer events, helping students secure roles in their chosen field.
Employment stats and salary figures: Mathematics graduates from Keele have an impressive employment record, with over 90% in graduate-level roles within six months. Typical starting salaries range from £25,000–£32,000, depending on the industry.
University–industry partnerships: Keele collaborates with organizations such as BAE Systems, PwC, and regional tech firms, offering internships, industrial projects, and networking opportunities to enhance employability.
Long-term accreditation value: The program is accredited by the Institute of Mathematics and its Applications (IMA), ensuring professional recognition and long-term credibility in mathematical careers.
Graduation outcomes: Graduates leave with rigorous analytical, logical, and quantitative skills, making them competitive candidates for roles in finance, technology, education, or further research.

Further Academic Progression:
Graduates can advance to specialized Master’s degrees such as MSc Mathematics, MSc Financial Mathematics, or MSc Data Science, or pursue PhD research in pure mathematics. The program also provides the foundation for professional qualifications, including actuarial exams, teaching certifications, or chartered mathematical status.