Curious about studying Mathematics and Physicsat Royal Holloway, University of London? We've gathered all the key details—entry requirements, modules, fees, and more. Hear from real students by checking out reviews, or take the next step by booking an open day to explore it for yourself.
Bachelor of Science (with Honours) - BSc (Hons)
Main Site
Full Time
Sep 2026
3 Year
Mathematics has gone hand-in-glove with physics since the time of Newton. Physics is widely conceived as the most fundamental of sciences in that all other branches can be said to derive from its theories and principles, but it couldn’t be studied without a strong working knowledge and appreciation of mathematics. This three-year course is accredited by the Institute of Physics. It allows you to explore the logical interplay between the two disciplines and split your time equally between the two. As well as covering all the core theories and principles of physics, you will also delve deep into the world of abstract mathematical ideas and explore their wide range of applications in the world around us.You will be welcomed into a vibrant, friendly learning environment and guided throughout your studies by world-class researchers and teachers who offer generous office hours. While the joint degree is arguably more challenging than a single honours degree, it will equip you with an enviable set of skills to set you apart in the world of work. By combining physics and mathematics you will have the opportunity to approach mathematics from a more rigorous point of view, giving you a deeper understanding of the theoretical aspects of core physics topics such as quantum theory and general relativity. Some of the laboratory components of the standalone physics course are reduced to make way for this. In year 3 you will have the option of carrying out a supervised research project on a topic of your choice.Duration: 3 years full time
This module will describe the key principles of academic integrity, focusing on university assignments. Plagiarism, collusion and commissioning will be described as activities that undermine academic integrity, and the possible consequences of engaging in such activities will be described. Activities, with feedback, will provide you with opportunities to reflect and develop your understanding of academic integrity principles.
In this module, you will develop an understanding of the key concepts in Calculus, including differentiation and integration. You will learn how to factorise polynomials and separate rational functions into partial fractions, differentiate commonly occurring functions, and find definite and indefinite integrals of a variety of functions using substitution or integration by parts. You will also examine how to recognise the standard forms of first-order differential equations, and reduce other equations to these forms and solve them.
In this module you will develop an understanding of the calculus functions of more than one variable and how it may be used in areas such as geometry and optimisation. You learn how to manipulate partial derivatives, construct and manipulate line integrals, represent curves and surfaces in higher dimensions, calculate areas under a curve and volumes between surfaces, and evaluate double integrals, including the use of change of order of integration and change of coordinates.
In this module you will develop an understanding of the macroscopic properties of the various states of matter, looking at elementary ideas such as ideal gases, internal energy and heat capacity. Using classical models of thermodynamics, you will examine gases, liquids, solids, and the transitions between these states, considering phase equilibrium, the van der Waals equation and the liquefaction of gases. You will also examine other states of matter, including polymers, colloids, liquid crystals and plasmas.
In this module you will develop an understanding of how to apply the techniques and formulae of mathematical analysis, in particular the use of vectors and calculus, to solve problems in classical mechanics. You will look at statics, dynamics and kinematics as applied to linear and rigid bodies. You will also examine the various techniques of physical analysis to solve problems, such as force diagrams and conservation principles.
In this module you will develop an understanding of the fundamental algebraic structures, including familiar integers and polynomial rings. You will learn how to apply Euclid's algorithm to find the greatest common divisor of two integers, and use mathematical induction to prove simple results. You will examine the use of arithmetic operations on complex numbers, extract roots of complex numbers, prove De Morgan's laws, and determine whether a given mapping is bijective.
In this module you will develop an understanding of basic linear algebra, in particular the use of matrices and vectors. You will look at the basic theoretical and computational techniques of matrix theory, examining the power of vector methods and how they may be used to describe three-dimensional space. You will consider the notions of field, vector space and subspace, and learn how to calculate the determinant of an n x n matrix.
In this module you will develop an understanding of the building blocks of fundamental physics. You will look at Einstein's special theory of relativity, considering time-dilation and length contraction, the basics of quantum mechanics, for example wave-particle duality, and the Schr??ger equation. You will also examine concepts in astrophysics such as the Big Bang theory and how the Universe came to be the way we observe it today.
In this module you will develop an understanding of good practices in the laboratory. You will keep a notebook, recording experimental work as you do it. You will set up an experiment from a script, and carry out and record measurements. You will learn how to analyse data and plot graphs using a computer package, and present results and conclusions including error estimations from your experiments.
The aim of this module is to enable you to plan and carry out longer assignments, which require significant preparation and/or advanced data analysis. This module will lay the groundwork for the comprehensive project work undertaken in your final year project whilst introducing you to some of the research activities within the Department. You will establish skills including report writing and oral presentations in the context of employment.
In this module you will develop an understanding of thermal physics and elementary quantum mechanics. You will look at the thermodynamic properties of an ideal gas, examining the solutions of Schr??ger's equation for particles in a box, and phenomena such as negative temperature, superfluidity and superconductivity. You will also consider the thermodynamic equilibrium process, entropy in thermo-dynamics, and black-body radiation.
In this module you will develop an understanding of vectors and matrices within the context of vector spaces, with a focus on deriving and using various decompositions of matrices, including eigenvalue decompositions and the so-called normal forms. You will learn how these abstract notions can be used to solve problems encountered in other fields of science and mathematics, such as optimisation theory.
In this module you will develop an understanding of the concepts arising when the boundary conditions of a differential equation involves two points. You will look at eigenvalues and eigenfunctions in trigonometric differential equations, and determine the Fourier series for a periodic function. You will learn how to manipulate the Dirac delta-function and apply the Fourier transform. You will also examine how to solve differential equations where the coefficients are variable.
In this module you will develop an understanding of quantum mechanics and its role in and atomic, nuclear, particle and condensed matter physics. You will look at the wave nature of matter and the probabilistic nature of microscopic phenomena. You will learn how to use the key equation of quantum mechanics to describe fundamental phenomena, such as energy quantisation and quantum tunnelling. You will examine the principles of quantum mechanics, their physical consequences, and applications, considering the nature of harmonic oscillator systems and hydrogen atoms.
In this module you will develop an understanding of how computers are used in modern science for data analysis and visualisation. You will be introduced to the intuitive programming language, Python, and looking at the basics of numerical calculation. You will examine the usage of arrays and matrices, how to plot and visualise data, how to evaluate simple and complex expressions, how to sample using the Monte Carlo methods, and how to solve linear equations.
In this module you will develop an understanding of the physical properties of solids. You will look at their structure and symmetry, concepts of dislocation and plastic deformation, and the electrical characteristics of metals, alloys and semiconductors. You will examine methods of probing solids and x-ray diffraction, and the thermal properties of photons. You will also consider the quantum theory of solids, including energy bands and the Bloch theorem, as well as exploring fermiology, intrinsic and extrinsic semiconductors, and magnetism.
In this module you will develop an understanding of the concepts of scalar and vector fields. You examine how vector calculus is used to define general coordinate systems and in differential geometry. You will learn how to solve simple partial differential equations by separating variables, and become familiar with how these concepts can be appield in the field of dynamics of inviscid fluids.
In this module you will develop an understanding of how James Clerk Maxwell unified all known electrical and magnetic effects with just four equations, providing Einstein's motivation for developing the special theory of relativity, explaining light as an electromagnetic phenomenon, and predicting the electromagnetic spectrum. You examine these equations and their consequences, looking at how Maxwell's work underpins all of modern physics and technology. You will also consider how electromagnetism provides the paradigm for the study of all other forces in nature.
In this module you develop an understanding of the properties of light, starting from Maxwell's equations. You will look at optical phenomena such as refraction, diffraction and interference, and how they are exploited in modern applications, from virtual reality headsets to the detection of gravitational waves. You will also examine masers and lasers, and their usage in optical imaging and image processing.
3.9Royal Holloway, University of London was founded over 170 years ago. Since then, it has been at the forefront of social ...
