Build strong mathematical foundations to support future investigations in theoretical physics. Topics include probability and randomness, which are key ideas in quantum theories, and tools such as group theory, which are used to describe fundamental symmetries in nature. Calculus and analysis plus linear algebra, essential for studying higher dimensional theories are also introduced along with an introduction to programming.
Stage 1 Mathematics Placement Preparation (BPIE113)
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.
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.
Analysis and Group Theory (MATH1704)
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.
Mathematical Reasoning (MATH1701)
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.
Linear Algebra (MATH1703)
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.
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.
Numerical Methods (MATH1706)
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.
Review the evidence for the existence of dark matter and describe Newtonian cosmology using vector calculus. Acquire the mathematical language of quantum mechanics by learning about real and complex analysis. A case studies module introduces the powerful Monte Carlo technique which lies at the heart of statistical mechanics and is used to extract precision results from the Standard Model of particle physics.
- Advanced Calculus
- Statistical Inference and Regression
- Algebra and Transforms
- Differential Equations
- Operational Research
- Complex Analysis and Vector Calculus
- Stage 2 mathematics placement
Optional placement year
An optional, but highly recommended placement provides you with valuable paid professional experience to help make your CV stand out. Typically students are paid around £17,000 and employers have included the Fujitsu, GlaxoSmithKline, Liberty Living, Vauxhall Motors, VirginCare, Visteon and Jagex Games Studio.
Mathematics and Statistics Placement (BPIE331)
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.
In your final year the focus is on modern physics and you have a choice of modules. Topics include classical mechanics, quantum mechanics, electrodynamics and special relativity. The mathematical language of the core partial differential equations module is essential. You can conduct a final year theoretical physics project with a supervisor from our theoretical physics research group. Projects have included general relativity and black holes, the gravitational super highway, quantum algorithms, quantum field theory and the quark model.
- Partial Differential Equations
- Quantum Computing
- Relativity and Cosmology
- Mathematics of Planet Earth
- Industrial Placement
- School Placement
- Fluid Dynamics
- Modelling and Numerical Simulation
- Optimisation, Networks and Graphs
Every undergraduate taught course has a detailed programme specification document describing the course aims, the course structure, the teaching and learning methods, the learning outcomes and the rules of assessment.
The following programme specification represents the latest course structure and may be subject to change:
BSc Hons Mathematics with Theoretical Physics Programme Specification 5359
The modules shown for this course are those currently being studied by our students, or are proposed new modules. Please note that programme structures and individual modules are subject to amendment from time to time as part of the University’s curriculum enrichment programme and in line with changes in the University’s policies and requirements.
In light of the Coronavirus (COVID-19) pandemic, the changeable nature of the situation and any updates to government guidance, we may need to make further, last minute adjustments to how we deliver our teaching and learning on some or all of our programmes, at any time during the academic year. We want to reassure you that even if we do have to adjust the way in which we teach our programmes, we will be working to maintain the quality of the student learning experience and learning outcomes at all times.