Research-informed teaching
Career-ready skills
Expert physics teaching




Details
Year 1

Core modules
BPIE113
Stage 1 Mathematics Placement Preparation
0 credits
Undertaking a sandwich-year placement (also known as an industrial or work placement) offers many benefits, including valuable hands-on work-experience and enhanced employability. This module is for first-year students who may undertake a placement in their third year. It is designed to support students in exploring placement opportunities and developing the skills and knowledge required to successfully secure one.
MATH1702
Calculus
20 credits
Calculus is to degree level maths what algebra is to A level - being confident and competent is key! In this module you will consolidate your existing knowledge of calculus with a strong emphasis on the 'why', not just the 'how'. You will quickly move on to higher dimensions as you meet partial differentiation and multiple integrals. This module is the launchpad for most of the maths you will meet during your degree.
60% Examinations
40% Coursework
MATH1704
Analysis and Group Theory
20 credits
Group theory is a foundational part of pure mathematics. The language of symmetry, groups arise in many branches of science, including descriptions of elementary particles in the Standard Model of particle physics. This module also provides the theoretical foundation of calculus, through infinite 'limits', known as analysis. Learn materials and skills used across mathematics, including rigorous mathematical proof.
60% Tests
40% Coursework
MATH1701
Mathematical Reasoning
20 credits
So you want to be a mathematician? This is the module that will set you up with the analytical and problem-solving techniques to become a good mathematician. You will learn to speak the language of mathematics, you will appreciate the beauty of a well-constructed proof, and you will be laying firm foundations for the rest of your maths degree.
60% Coursework
40% Tests
MATH1703
Linear Algebra
20 credits
Vectors and matrices are the building blocks of computation, and key tools in statistics, physics and data science. This module develops practical skills in handling vectors and matrices, explores the mathematical structure of vector spaces, and explores their deep connections with geometry.
60% Examinations
40% Coursework
MATH1705
Probability
20 credits
Understanding uncertainty and randomness is a vital skill in the workplace. This module provides you with a solid mathematical framework for successfully understanding these topics. We will also teach you some more advanced probability topics used to model natural processes.
60% Examinations
40% Coursework
MATH1706
Numerical Methods
20 credits
Computers are needed to solve mathematical problems. You’ll be introduced to computational mathematics and algorithms. We'll help you to learn Python programming, a skill extensively used in industry. You'll learn a range of numerical methods needed to solve problems in industry, science and finance.
60% Examinations
40% Coursework
Year 2

Core modules
BPIE213
Stage 2 Mathematics Placement Preparation
0 credits
A year-long work placement is a valuable opportunity to gain hands-on experience and develop skills that will enhance future career prospects. This module prepares students to begin their placement search by providing practical guidance on where to look, how to apply, and how to present themselves effectively to potential employers; featuring insights from students who have recently returned from their own placements.
MATH2701
Advanced Calculus
20 credits
Mathematical functions can depend on more than one variable. For instance, a weather map shows the temperature as a function of latitude and longitude. You will learn how to differentiate and integrate such functions. The resulting multi-variable calculus is readily applied to vectors. With the new tools at hand, you can finally overcome the limitations of one-dimensional maths and enjoy the freedom of higher dimensions.
70% Examinations
30% Coursework
MATH2703
Algebra and Transforms
20 credits
This module introduces you to objects called rings and fields, capturing the fundamental structure underlying the integers, polynomials, and more. You’ll see real-world applications like error-correcting codes, used to fix errors in digital communication. You’ll also explore Laplace and Fourier transforms, tools that turn tough problems into simpler ones and apply these to solve differential equations from mechanics.
70% Examinations
30% Coursework
MATH2704
Differential Equations
20 credits
Learn how to model change in the world around us. From predicting the weather to understanding ecosystems and disease spread, differential equations are key. You’ll study the maths behind these processes, solve equations both analytically and with computational tools, and explore dynamical systems to see how mathematics captures the complexity of the real world.
70% Examinations
30% Coursework
MATH2705
Operational Research
20 credits
Operational Research uses mathematics to solve problems in the management of complex systems. Applications include designing efficient queues and organising the running of patient services in hospitals. You will work on open-ended case studies in Operational Research using simulation methods. These tasks will improve your teamwork, presentation skills and programming, so enhancing your employability.
75% Coursework
25% Practicals
MATH2706
Complex Analysis and Vector Calculus
20 credits
Swirling storms, rocket paths, and spinning planets are all described by powerful mathematics. You'll use vector calculus to explore real-world forces like circulation and vorticity. You'll have the power to analyse how fluids move and how planets stay in orbit. We’ll also dive into the beautiful world of complex functions which has surprisingly deep applications across science and engineering.
70% Examinations
30% Coursework
MATH2707
Data Modelling
20 credits
Science, medicine, industry, AI and social media all rely on data. We'll teach you state-of-the art tools for working with multiple data sources. You'll work with a rich range of mathematical models for data generation processes. We'll see how to gain knowledge about these models from observations. These including computational methods with broad applications including simulating physical and chemical systems.
100% Coursework
Optional placement year

Core modules
BPIE331
Mathematics and Statistics Placement
20 credits
A year-long work-placement, undertaken with an approved placement provider and in a role relevant to the students programme. Students will leave with practical and relevant work experience, where they put theory into practice. This module is attached to the Placement and provides students with a single digital space to refer to for key reminders, FAQs, contact details, top tips and their Placement-year handbook.
80% Coursework
20% Practicals
Final year

Core modules
MATH3701
Partial Differential Equations
20 credits
Partial differential equations - PDEs - provide the mathematical language to explain how the world moves, changes and evolves. You'll explore both analytical and numerical methods to tackle these equations and apply them to real-world challenges. From modelling the spread of pollutants, to understanding waves, and quantum and nonlinear systems, you'll see how PDEs shape science, engineering, and more.
70% Examinations
30% Coursework
MATH3705
Quantum Computing
20 credits
Quantum mechanics describes physical systems at the atomic and molecular scale. This allows properties of matter and its interactions with light to be modelled, and these models underpin the rapid development of quantum computing. We'll introduce you to the principles and applications of quantum computing and you'll learn how to program quantum computers.
50% Coursework
50% Examinations
MATH3707
Relativity and Cosmology
20 credits
E = mc2 is Einstein's equation connecting energy with mass and the speed of light. You will learn how this equation arises by studying exciting topics in special and general relativity. These include time dilation and space-time curvature - vital for GPS apps. Mastering these topics will help you to understand modern cosmology, the expanding universe and dark matter.
70% Examinations
30% Coursework
Optional modules
MATH3704
Fluid Dynamics
20 credits
Fluids are everywhere - the ocean, the atmosphere and the sauces you put on your food! We'll teach you how to use mathematics to model a variety of fluid flows and solve the resulting equations. You'll meet a variety of theoretical and practical examples of fluid flows from environmental and industrial applications. Interpreting and critiquing modelling results is emphasised - a key employability skill.
70% Examinations
30% Coursework
MATH3706
Industrial Placement
20 credits
Quantum mechanics describes physical systems at the atomic and molecular scale. This allows properties of matter and its interactions with light to be modelled, and these models underpin the rapid development of quantum computing. We'll introduce you to the principles and applications of quantum computing and you'll learn how to program quantum computers.
80% Coursework
20% Practicals
MATH3708
Modelling and Numerical Simulation
20 credits
Simulations and modelling drive research and innovation across industry. In this module you’ll explore mathematical models and algorithms, write code to implement them, and assess their performance both theoretically and in practice. You’ll also run your code on our state-of-the-art high-performance computer, gaining forward-looking skills valued by employers.
100% Coursework
MATH3709
Optimisation, Networks and Graphs
20 credits
Do you want to make businesses efficient by optimising their supply chains? Do you want to be part of AI decision making? We'll teach you the optimisation and graph theory that will make this possible. You'll study the implementation of cutting-edge algorithms to tackle real-world challenges. We'll also explain the mathematics of networks that are used to model complicated systems such as social media interactions.
100% Coursework
MATH3712
Mathematics of Planet Earth
20 credits
Our planet and its environment are under threat. Mathematics can help identify and tackle today's pressing challenges. Working as a team, you will learn how to do this by applying mathematical, statistical and data science techniques to problems related to our planet's health. You will improve your technical abilities and also your employability skills, including communicating scientific findings to general audiences.
70% Coursework
30% Practicals
MATH3713
Project
20 credits
Passionate about a topic you’d love to explore in depth? This module lets you carry out independent research in Mathematical Sciences or Mathematics Education, guided by an expert. You’ll review past work, discover new applications, and push your own knowledge, presenting your findings in a report and poster - skills valued in further study, teaching, and many careers.
80% Coursework
20% Practicals
MATH3714
School Placement
20 credits
If you want to find out if teaching is a career for you, then you will obtain hands on experience during this placement module. Being a mathematics specialist teaching assistant for one morning a week in a school over two semesters, you will develop key skills that are needed for teaching or any career - confidence, patience, empathy, explaining, listening, organisation, academic writing; the list goes on!
80% Coursework
20% Practicals
Featured modules
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Quantum Computing
Quantum mechanics describes systems at molecular distance scales and below, where ideas such as uncertainty principles, superposition and entanglement are required to describe the dynamics. Quantum computers use quantum mechanics to solve complex problems.
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Fluid Dynamics
Fluid dynamics is everywhere – from the air we breathe, to the oceans that sustain our planet, to the industries that power our economy. Explore one of the most vibrant areas of modern applied mathematics.
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Differential equations
Did you know that the differential equation which describes the change in price of stock market options is, in disguise, the same equation that describes how heat diffuses through materials?
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Mathematical reasoning
Understand how your credit-card details are kept secure when you shop online and the amazing maths behind it.
Alternative pathways
Experience
Discover theoretical physics at Plymouth

BSc (Hons) Mathematics with Theoretical Physics student


Exceptional support and engaged learning

World-class facilities
Develop your skills, knowledge and confidence with a work placement
“I found that the skills I had already gained at the University prepared me well for the experience and also for future jobs.”

I came into university thinking there really wasn’t much practical work which goes into mathematics. I was pleasantly surprised when I discovered how much our course relied on learning how to code and work with computers and it was this which inspired me to pursue a masters in cyber security when my bachelors is complete.
BSc (Hons) Mathematics with Theoretical Physics student
The Theoretical Physics group

Meet your lecturers

Dr Vincent Drach
Associate Professor of Theoretical Physics

Dr James Edwards
Lecturer in Applied Mathematics/Theoretical Physics

Dr B. King
Associate Professor of Theoretical Physics
A TEDx Talk with Professor Antonio Rago
Life in Plymouth
The overall vibe of the city is perfect. You are by the sea so it is still laid back, but you have all the conveniences of living in a city.
Current student



Careers
BSc (Hons) Mathematics with Theoretical Physics graduate
Software Engineer at Boeing


I would highly recommend taking a mathematics degree as it opens your eyes to the language of the universe and how things truly work.
BSc (Hons) Mathematics graduate
Fees and funding
Tuition fees
£9,535 per year
£795 per 10 credits
Tuition fee price changes
£18,650 per year
£19,200 per year
Tuition fee price changes
Additional costs
Fund your studies
Supporting students with the cost of living

Apply
Entry requirements
112 UCAS points
You may be eligible for a contextual offer
GCSE
A levels
BTEC
Access courses
International Baccalaureate
Other qualifications
Extended entry requirements
Ready to apply?
G1F3
P60
3 years
(+ optional placement)
Full-time
Plymouth
Other routes into this course
The following courses are available as routes into this programme.

Passionate about maths but missing standard entry requirements? Our four-year degree helps you build skills in pure and applied mathematics, statistics, and programming – ideal if you’ve been out of education or need extra preparation.
Entry requirements
112 UCAS points
BSearch entry requirements for your country
English language requirements
Ready to apply?
Need support with your application?
- Personal statement guidance
- student visa support
- travel and arrival information
- and more.
G1F3
P60
3 years
(+ optional placement)
Full-time
Plymouth