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BPIE113
Stage 1 Mathematics Placement Preparation
0 credits
The route to graduate-level employment is found easier with experience. These sessions are designed to assist students in their search for a year-long placement and in their preparation for the placement itself. Such placements are optional but strongly recommended.
MATH1702
Calculus
20 credits
Calculus underpins mathematical modelling in science, finance and industry. This module gives students the ability to calculate accurately and efficiently. Key results are proven and calculus is extended to higher dimensions through partial differentiation and multiple integration. The methods covered in this module will be used by students throughout the rest of their degree.
60% Examinations
40% Coursework
MATH1704
Analysis and Group Theory
20 credits
In this module we explore two fundamental areas of pure mathematics. Analysis provides a rigorous foundation of calculus, while group theory introduces important algebraic structures that are used in many branches of pure mathematics and their applications. A rigorous approach will be taken in both topics, with emphasis on proof. Python will be used to illustrate and investigate cutting edge applications.
60% Tests
40% Coursework
MATH1701
Mathematical Reasoning
20 credits
This module will introduce the basic reasoning skills needed for the development and applications of modern mathematics. It also introduces Python as a new tool for exploring and applying mathematics to real world problems. The importance of logical thinking will be investigated in various mathematical topics. This will include fundamental properties of prime numbers, their random generation and use in cryptography.
60% Coursework
40% Tests
MATH1703
Linear Algebra
20 credits
Vectors and matrices are fundamental in mathematics, and central to its applications in statistics, physics, data science, and engineering. This module develops practical skills in handling vectors and matrices, explores the mathematical structure of linear spaces, and elucidates their deep connections with analytic geometry.
60% Examinations
40% Coursework
MATH1705
Probability
20 credits
An understanding of uncertainty and random phenomena is becoming increasingly important in daily life and in the modern workplace. The aim of this module is to develop the concept of chance in a mathematical framework. Random variables are introduced, with examples involving some common distributions, and the concepts of expectation, variance and correlation are investigated using mathematical tools.
60% Examinations
40% Coursework
MATH1706
Numerical Methods
20 credits
In mathematics, solving most real world problems requires the use of computers. This module introduces computational mathematics and algorithms . Students will use mathematical software interactively and write programs in Python. The numerical methods which underlie industrial, scientific and financial applications will be studied.
60% Examinations
40% Coursework
BPIE213
Stage 2 Mathematics Placement Preparation
0 credits
These sessions are designed to help students obtain a year-long placement in the third year of their programme. Students are assisted both in their search for a placement and in their preparation for the placement itself.
MATH2701
Advanced Calculus
20 credits
In this module the geometrical and dynamical concepts needed to describe higher-dimensional objects are introduced. This includes vector calculus techniques and new forms of integration, such as line integration. Students also explore the relationships between integration and differentiation in higher dimensions. We apply advanced calculus to problems from areas such as mechanics and electromagnetism.
70% Examinations
30% Coursework
MATH2702
Statistical Inference and Regression
20 credits
This module provides a mathematical treatment of statistical methods for learning from the data abounding in the modern world. Confidence intervals and hypothesis testing are studied. Methods of estimation are explored, focusing on the maximum likelihood method. The module demonstrates the underlying theory of the general linear model. Applications are implemented using the professional statistical software, R.
70% Examinations
30% Coursework
MATH2704
Differential Equations
20 credits
Differential equations are used to describe changes in nature. This module introduces methods to find exact solutions to ordinary differential equations, and numerical solutions to ordinary and partial differential equations. Extensive use will be made of computational tools. The behaviour of higher dimensional systems will be analysed using the theory of continuous dynamical systems.
70% Examinations
30% Coursework
MATH2705
Operational Research
20 credits
This module gives students the opportunity to work on open-ended case studies in Operational Research (OR) and Monte Carlo methods, both of which play an important role in many areas of industry and finance. Students work both on their own and in teams to develop expertise in Operational Research and programming. They will refine their presentation and communication skills, so enhancing their employability.
75% Coursework
25% Practicals
MATH2703
Algebra and Transforms
20 credits
This module introduces mathematical structures called rings and fields, which capture properties of objects such as integers, real numbers or polynomials. These structures are used to explore error-correcting codes for data transmission. Calculus is used to introduce Laplace and Fourier transforms, and Fourier series. They are applied to solve differential equations and uncover identities involving irrational numbers.
70% Examinations
30% Coursework
MATH2706
Complex Analysis and Vector Calculus
20 credits
This module explores fundamental relationships between dimensionality and integration. Vector integration theorems for circulation, vorticity and divergence are introduced and vector calculus is applied to real-world examples, such as classical mechanics and orbital dynamics. The mathematics of complex numbers and functions are studied, revealing deep results with applications throughout mathematics.
70% Examinations
30% Coursework
ACF5002
Financial Institutions and Markets
20 credits
This module deals with financial markets, instruments, and institutions. You will examine the bond market, the stock market and the foreign exchange market and explore investment banking and mutual funds.
100% Coursework
EDST518
Learning Matters
20 credits
A module that builds students’ capacity to recognise and evaluate learning as it occurs in educational, work and recreational settings. It draws upon established, current and critical theory on learning and human development, and focuses on applying these theories to examples of educational practice from existing research and the students’ experiences.
100% Coursework
BPIE331
Mathematics and Statistics Placement
20 credits
A 48-week period of professional training is spent as the third year of a sandwich programme while undertaking an approved placement with a suitable company. This provides an opportunity for the student to gain experience of how mathematics is used in a working environment, to consolidate their previous study and to prepare for the final year and employment after graduation. Recent placement providers include GSK, the Office for National Statistics, NATS (air traffic control) and VW Group.
80% Coursework
20% Practicals
COMP3003
Machine Learning
20 credits
This module introduces machine learning, covering unsupervised, supervised and reinforcement learning from a Bayesian perspective. This includes theory behind a range of learning techniques and how to apply these representations of data in systems that make decisions and predictions.
100% Coursework
COMP3008
Big Data Analytics
20 credits
The key objective of this module is to familiarise the students with the most important information technologies used in manipulating, storing and analysing big data. Students will work with semi-structured datasets and choose appropriate storage structures for them. A representative of recent non-relational trends is presented—namely, graph-oriented databases.
100% Coursework
MATH3701
Partial Differential Equations
20 credits
This module deepens students’ understanding of partial differential equations and applies them to real world problems. It provides a variety of analytic and numerical methods for their solution. It includes a wide range of applications such as transport, heat diffusion, wave propagation and nonlinear phenomena.
70% Examinations
30% Coursework
MATH3702
Statistical Data Modelling
20 credits
We study statistical models, including regression and the general and generalised linear models. We estimate model parameters in the classical and Bayesian inference frameworks, using R and Stan software. We describe related computer techniques, including computational matrix algebra and Markov chain Monte Carlo algorithms. We work with multiple data sources using state-of-the art data handling tools.
100% Coursework
MATH3704
Fluid Dynamics
20 credits
In this module, students will learn how to use mathematics to model a variety of fluid flows. Fluid flow problems are described mathematically as ordinary or partial differential equations. These equations are then solved and the results interpreted for a mixture of theoretical and practical examples of both inviscid and viscous fluid flows. Applications from environmental and industrial modelling will be studied.
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 technologies. This module introduces the principles of quantum mechanics and applies them to quantum computing. Students will study quantum algorithms and techniques to program quantum computers.
50% Coursework
50% Examinations
MATH3706
Industrial Placement
20 credits
This module provides an opportunity for final year students to gain experience of applying mathematics in a professional environment. Students can carry out a placement in a wide variety of areas, including data science, finance, management, research, and software development. As part of this, they develop a range of skills that considerably increase future employment opportunities.
80% Coursework
20% Practicals
MATH3707
Relativity and Cosmology
20 credits
This module introduces the basic concepts of special and general relativity, such as the Lorentz transformations, time dilation, and the curvature of space-time. These ideas help students to understand the basic concepts of modern cosmology, including the standard model of the expanding universe (FLRW model) and its extensions using dark matter and dark energy.
70% Examinations
30% Coursework
MATH3708
Modelling and Numerical Simulation
20 credits
Simulations and modelling are crucial tools that support industrial research and innovation. Students will learn to analyse mathematical models and develop programs to solve them. They will investigate algorithms and discuss their performance. Students will code and run numerical programs on a high performance computer. These forward-looking skills are highly sought after by many employers.
100% Coursework
MATH3709
Optimisation, Networks and Graphs
20 credits
Optimisation and graph theory are related branches of mathematics with applications in areas as diverse as computer science and logistics. Graphs are used to capture relationships between objects, while optimisation studies algorithms that search for optimal solutions. This module provides both the theory and modern algorithms, including those used in artificial intelligence, required to solve a broad range of problems.
100% Coursework
MATH3710
Medical Statistics
20 credits
This module equips students with the skills to plan and analyse clinical trials, including crossover and sequential designs, and to perform sample size calculations. The principles of meta-analysis are introduced. Epidemiology is studied, including case-control and cohort studies. Survival analysis is covered in detail. Students gain experience with computer packages that are used in health and medicine.
70% Examinations
30% Coursework
MATH3712
Mathematics of Planet Earth
20 credits
Students work in small groups to research problems directly related to sustainability and the protection of the environment, so addressing some of the most serious problems faced by humanity. This can involve the solution of mathematical, statistical, computational, industrial or economic problems, or challenges in renewable energy engineering. Students present their conclusions orally and in a professional report.
70% Coursework
30% Practicals
MATH3713
Project
20 credits
In this module, students perform individual independent research into a topic in Mathematical Sciences, or Mathematics Education. Students choose a subject to explore in depth, which they are particularly interested in, and receive regular advice and feedback from an expert supervisor. The outputs of the project are a dissertation and a presentation. This module is an ideal preparation for progressing to further study.
80% Coursework
20% Practicals
MATH3714
School Placement
20 credits
This module provides an opportunity for final year students to gain experience in teaching and to develop their key educational skills by working in a school environment for one morning a week over both semesters. Students typically progress from assisting in the classroom to teaching a starter activity over the academic year.
80% Coursework
20% Practicals
ACF6004
Financial Modelling
20 credits
The module covers financial modelling for bonds and rates, equities, currencies and options. While analysing and modelling each category of securities with specific and pertinent approaches, it stresses the underlying principles governing all valuation processes. The module also equips the students with the skills to use software, such as Excel, for implementing models and perform analysis.
60% Examinations
40% Coursework
ACF6008
Investment Management
20 credits
In this module, you will develop a broad understanding of the portfolio management with the focus on portfolio building and evaluation, portfolio risk and diversification. You will explore portfolio concepts such as: investors risk aversion, efficient frontier, capital asset pricing model. In addition, you will learn and discuss market efficiency, behavioural finance and fintech.
60% Examinations
40% Tests
UCAS tariff
112 - 128
Contextual offers: Typically, the contextual offer for this course is 8 points below the advertised tariff. A contextual offer is an offer to study at university that takes into account individual circumstances that are beyond your control, and that can potentially impact your learning and your exam results, or your confidence in applying to university.
New student | 2024-2025 | 2025-2026 * |
---|---|---|
Home | £9,250 | £9,535 |
International | £18,100 | £18,650 |
Part time (Home) | £770 | £795 |
* UK Government announcement on tuition fees
On Monday 4 November 2024, the UK Government announced a proposal to increase tuition fees for home undergraduate students from £9,250 to £9,535 per annum from September 2025 onwards. The University of Plymouth intends to apply this new fee from September 2025. However, implementation of this increase will be subject to parliamentary procedure. This change applies to new students starting their studies in September 2025. For current and returning students, the University is reviewing fees and will update you as soon as possible.
To reward outstanding achievement the University of Plymouth offers scholarship schemes to help towards funding your studies.
International progression routes
Explore profound and beautiful ideas and understand how they can be applied to the key challenges facing us today and tomorrow.
Studying mathematics
This research-led mathematics degree equips you with a solid base in pure and applied mathematics.
Supporting you to succeed
You are supported by an open door policy, a personal tutor system, peer assisted learning and much more.
Studying mathematics at Plymouth
This short film will help you discover what studying one of the range of mathematics degrees at Plymouth is like.
Exciting career opportunities, passionate academics and state-of-the-art facilities
Opening doors with mathematics
Graduating with a mathematics degree can open the door to many employment opportunities, learn how Plymouth can help you stand out from the crowd.
The truth and perfection of mathematics
To those who have studied it, mathematics is like a language. A language that allows complex ideas to be expressed with precision and clarity.
Babbage Building: where engineering meets design
A state-of-the-art space to inspire creativity and collaboration on our campus.
6In the 2024 National Student Survey, 100% of our final year students said that ‘Staff are good at explaining things’.*
,The Institute of Mathematics and its Applications (IMA) accredited degree
"Your personal statement should paint a picture of why you want to study mathematics — use it to show me your enthusiasm for the subject. For example, tell me which topics have particularly excited you, and why."
"Outside interests and work experience can show more about you – have you been a trusted person at work? Have you volunteered to help others learn at school? Have you trained people in a sport? Any of these things makes you a stronger applicant, so do mention them, but remember to keep the focus on your studies."
"I found that the skills I had already gained at the University prepared me well for the experience and also for future jobs."