Mathematics and Physics

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 programme 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 programme 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.

Our Department of Mathematics is internationally renowned for its work in pure mathematics, information security, statistics and theoretical physics, while our Department of Physics is one of the most respected centres for physics teaching and research in the UK, boasting cutting-edge laboratories and research facilities and dedicated technical support. There is an astronomical dome on the roof of the department and thanks to our parkland location, away from the big city, our telescopes enjoy the best observational capacities of the University of London campuses.

At the end of your first year you will have the option of transferring onto the second year of our four-year MSci programme, which is aimed at students who want to pursue mathematics and physics at a high level after graduation, for example in research or in specialist roles in industry.

Our physics research is expanding in new and exciting directions, including strategic partnerships with CERN, the National Physical Laboratory (NPL), SNOLAB and industry at large.

Both departments put a real emphasis on small group teaching. You will be studying in a close-knit, friendly and supportive environment with a high staff to student ratio.

Our Department of Physics has been awarded IOP Juno Champion and Athena SWAN silver awards for best practice in promoting women in science and welcoming large cohorts of female students.

Course Modules

Core Modules

Year 1

• Calculus

• Calculus II

• Introduction to Pure Mathematics

• Linear Algebra I

• Scientific Skills

• Classical Mechanics

• Classical Matter

• Physics of the Universe

• Academic Integrity

Year 2

• Vector Calculus

• Ordinary Differential Equations and Fourier Analysis

• Linear Algebra II

• Scientific Computing Skills

• Quantum Mechanics

• Classical and Statistical Thermodynamics

• The Solid State

• Advanced Skills in Mathematics

• Advanced Skills in Physics

Year 3

• Optics

• Advanced Skills in Physics

• Experimental or Theoretical Project

• Electromagnetism

Optional Modules

Below is a taster of some of the exciting optional modules that students on the course could choose from during this academic year. Please be aware these do change over time, and optional modules may be withdrawn or new ones added.

Year 1

• All modules are core

Year 2

• Statistical Methods 2

• Probability Theory

• Graphs and Optimisation

• Ring Theory

• Group Theory

• Further Linear Algebra and Modules

• Complex Analysis

Year 3

• Mathematics Project

• Mathematics in the Classroom

• Number Theory

• Computational Number Theory

• Complexity Theory

• Principles of Algorithm Design

• Quantum Theory 1

• Quantum Theory 2

• Dynamics of Real Fluids

• Non-Linear Dynamic Systems

• Inference

• Time Series Analysis

• Markov Chains and Applications

• Channels

• Quantum Information and Coding

• Mathematics of Financial Markets

• Combinatorics

• Error Correcting Codes

• Cipher Systems

• Cryptography

• Applications of Field Theory

• Advanced Skills in Physics

• Atomic Physics

• Nonlinear Dynamical Systems

• Group Theory

• Topology

• Introduction to Optimisation

• Financial Mathematics I

• Financial Mathematics II

• Game Theory

https://www.royalholloway.ac.uk/studying-here/undergraduate/mathematics/mathematics-and-physics/

The course has a flexible, modular structure and you will take a total of 12 course units at a rate of four, 30-credit modules per year. In addition to our compulsory core modules you will be free to choose between a number of optional courses. Some contribute 15 credits to your overall award while others contribute the full 30.

We use a variety of teaching methods and there is a strong focus on small group teaching in the department. You will attend 12 to 15 hours of formal teaching in a typical week, including lectures, tutorials, problem-solving workshops, laboratory work and practical sessions. You will also be expected to work on worksheets, revision and project work outside of these times. In year 2, teaching will mainly be delivered through lectures and workshops and in year 3, mostly through relatively small group lectures.

Our courses are mostly examined by two-hour written examinations at the end of the year but many include a coursework or in-class test element as well. Experimental work is generally assessed by written reports or oral presentation. A minimum of six of the eight course units must be passed each year, with a minimum score of 40%. In year 3 there are optional courses which are examined solely by a project and/or presentation. Outside of class time, you will be expected to work on group projects and independent study, with access to the College’s comprehensive e-learning facility, Moodle.