MATHS AND PHYSICS UNDERGRADUATE STUDY - University of Warwick

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MATHS AND PHYSICS UNDERGRADUATE STUDY - University of Warwick
MATHS
AND
PHYSICS

UNDERGRADUATE STUDY
2021/22
MATHS AND PHYSICS UNDERGRADUATE STUDY - University of Warwick
MATHS AND
PHYSICS
Joint Honours
Courses
Mathematics and physics are a great
combination to study at university, and
provide the basis for a stimulating and
enjoyable education.
Mathematics and physics are complementary subjects. Often,
a way of thinking developed in one discipline leads to new
insights into the other. The advances in the mathematical theory
of dynamical systems and chaos are an example. Ideas from the
theory are now applied in the modelling of physical systems such
as the atmosphere, lasers and other complex systems.

In both subjects the emphasis is on learning how to recognise
the surprising and how to reason. So, although the joint degree
is the natural route into theoretical physics, the skills it teaches
are universal and can lead to many different careers. Our former
students have gone on to work in industry and in professions
such as business, journalism and the financial sector.

There are two variants of the degree course: the three-year BSc
and the four-year MMathPhys. You need to decide by the end of
your second year which degree to aim for. BSc courses should be
seen as part of a general rounded education, which should leave
you numerate articulate and employable. The four-year course
should appeal most to you if you intend to make direct use of
your knowledge of mathematics and physics after you graduate.

Neil Wilson
Head of Undergraduate Admissions

                                                                       03
MATHS AND PHYSICS UNDERGRADUATE STUDY - University of Warwick
THE WARWICK DEGREE                                                                        FIRST Year
     GF13 BSc                                                                                  The first year is currently:

     FG31 MMathPhys                                                                            Maths
                                                                                               Mathematical Analysis (60 Lectures),
                                                                                                                                        Mathematics is also concerned
                                                                                                                                        with the generality of results. The
                                                                                                                                                                                  on astronomy illustrates this well.
                                                                                                                                                                                  Phenomena observed in the sun
                                                                                                                                        process of figuring out the most          and planets are governed by the
     The Warwick joint degree course is among the best                                         Sets and Numbers (30L), Linear
                                                                                                                                        general form of some result from an       laws of mechanics and are usually
                                                                                               Algebra (30L), Differential Equations
     established in the country and the course includes a number                               (30L).
                                                                                                                                        initial example is an important and       closely related to phenomena,
                                                                                                                                        rewarding part of the subject. It is      which are familiar from the terrestrial
     of modules from both contributing departments designed                                                                             often what suggests new results and       environment.
     specifically for joint degree students. Each year around 75                                                                        can reveal connections with other
                                                                                               Physics
     students start on this course.                                                                                                     areas within mathematics.                 Most of the 1st year physics modules
                                                                                               Physics Foundations (30L), Electricity                                             deal with familiar subjects, such
     In the first year you take essential          in computing or statistics, but also        and Magnetism (30L), Classical           The modules Linear Algebra, and           as Newtonian mechanics and
     (core) modules in both mathematics            modules introducing secondary school        Mechanics and Relativity (30L),          Sets and Numbers, treat concepts          thermodynamics. The possible
     and physics. You also take at least one       teaching or a modern language.              Quantum Phenomena (15L).                 which you have met at school, but         exceptions are the material on
     additional module chosen from a list of                                                   There is also a Computing                in a more abstract and general            relativity and the module Quantum
     options. At the end of the first year it is   The optional fourth year continues to       Workshop.                                way. Analysis is another word for         Phenomena. These deal with the
     usually possible to change to either of       cover the main areas of mathematics                                                  calculus but carries the implication      breakdown of Newtonian physics at
     the single honours courses, providing         and physics. You can continue to study      You choose at least one further          that all results must have satisfactory   velocities close to the speed of light
     you satisfy certain requirements in the       a broad spectrum of topics within both      module from:                             proofs. Some of the material in the       and at atomic length scales.
     end of year examinations.                     subjects. Alternatively, you may choose                                              Analysis module should be familiar
                                                   to concentrate on one or two areas.                                                  from A level, but it will be presented    Computers are increasingly
     In the second and third years, there          This can give time to take in and reflect   Options                                  with the emphasis on proof. The           important in all of mathematics
     is considerable freedom to choose             on some of the recent developments          Abstract Algebra (15L), Astronomy        Differential Equations module deals       and theoretical physics. The
     modules. By then you will have a good         in these areas.                             (15L), Geometry (15L), Particle          with the methods for solving the          Programming Workshop teaches
     idea of your main interests and be                                                        Physics (15L), Probability (30L),        differential equations of motion,         Python programming and how to
     well placed to decide which areas of          Our research is strong in a number          Programming for Scientists (30L).        which describe the behaviour of           solve numerically the mathematical
     mathematics and physics to study in           of branches of mathematics and                                                       various physical systems.                 models of physical systems. In
     greater depth. In effect you design           physics, and we are well placed to offer    Mathematics at university                                                          addition, you can opt to take the
     your own degree. Some modules may             authoritative and coherent accounts         emphasises the importance of             The central theme in physics is           module Programming for Scientists.
     also be taken from outside of both            of those recent developments likely         proof. All sciences test the validity    to identify the (relatively few)          This is a Java-based module,
     mathematics and physics.                      to be of most interest to you as a joint    of ideas and conjectures, usually by     fundamental laws and show how             which teaches object-oriented
                                                   degree student.                             comparing with reality as seen in        they may be invoked to explain            programming and algorithms.
     We encourage you not only to                                                              experiment. In mathematics, there        many natural phenomena. A good            (The module assumes no prior
     consider the ‘obvious’ outside modules                                                    are no experiments, so it is important   example is provided by Electricity        knowledge of programming.)
                                                                                               to be able to construct watertight       and Magnetism, which were
                                                                                               arguments or proofs.                     shown by Faraday, Maxwell and
                                                                                                                                        others to be manifestations of the
                                                                                                                                        same phenomenon – now called
                                                                                                                                        electromagnetism. The module

04                                                                                                                                                                                                                          05
MATHS AND PHYSICS UNDERGRADUATE STUDY - University of Warwick
TIMETABLE
     The timetable for the first five weeks of the current first
     year should give an idea of the typical weekly workload
     of lectures and tutorials.
     The tutorials involve smaller groups and a lecturer or postgraduate student. The idea is to
     work through examples sheets handed out in the lectures and to discuss any problems

                                                                                                                             SECOND Year
     with the material. Wednesday afternoons are kept free of classes, as Wednesday is the
     main day for university activities such as sport, drama and music.

                             First Year timetable (weeks 1-5) - mornings
                      09:05 - 9:55        10:05 - 10:55         11:05 - 11:55        12:05 - 12:55                           In the second year there are core modules taken by everybody.
     Monday                  Sets and Numbers                                         Mathematical                           These core modules complete the         of functions of more than one           Maths
                                                                                        Analysis
                                                                                                                             treatment of basic material assumed     variable and of complex variables.
                                                                                                                                                                                                             Geometry, Advanced Linear
     Tuesday                                                  Physics Foundations      Differential                          by subsequent modules. There is         The module, Variational Principles,
                                                                                                                                                                                                             Algebra, Groups and Rings, Theory
                                                                                       Equations                             then a broad range of modules           is concerned with a surprising
                                                                                                                                                                                                             of Ordinary Differential Equations,
                                                                                                                             covering all the main areas of          and useful connection between
     Wednesday    Classical Mechanics                         Physics Foundations                                                                                                                            Introduction to Mathematical Biology,
                     and Relativity                                                                                          mathematics and physics from            functions, which minimise the values
                                                                                                                                                                                                             Norms Metrics and Topologies
                                                                                                                             which you choose a selection.           of certain integrals, and many
     Thursday                              Differential                             Intro to Geometry                                                                problems from physics.
                                           Equations                                                                         Currently the core modules are:
                                                                                                                                                                                                             Physics
     Friday                                Differential         Physics Tutorial    Intro to Geometry                                                                The field of fluids is one of the
                                           Equations                                                                         Maths                                   richest in applied mathematics and      Computational Physics,
                                                                                                                                                                     physics. Although motions of fluids –   Environmental Physics, Hamiltonian
                                                                                                                             Analysis III, Methods of Mathematical
                                                                                                                                                                     water and air are two we meet every     Mechanics, The Solar System, Stars
                                        First Year timetable (weeks 1-5) - afternoons                                        Physics, Multivariable Calculus,
                                                                                                                                                                     day – are complicated, many flow
                                                                                                                             Partial Differential Equations,
                                                                                                                                                                     patterns have simple and intuitively
                     13:05 - 13:55        14:05 - 14:55          15:05 - 15:55         16:05 - 16:55        17:05 - 17:55    Variational Principles
                                                                                                                                                                     appealing explanations. You will        Outside Options
     Monday             Physics                                     Maths           Classical Mechanics                                                              learn, for example, why power           Interdisciplinary modules from WBS
                      Foundations                                 Supervision          and Relativity                                                                lines whistle in the wind and why       (Warwick Business School), the
                                                                                                                             Physics
                                                                                                                                                                     aeroplanes use their engines just       Language Centre (Arabic, Chinese,
     Tuesday                            Classical Mechanics                          Intro to Geometry
                                                                                                                             Electromagnetic Theory and              before landing.
                                           and Relativity                                                                                                                                                    French, German, Italian, Japanese,
                                                                                                                             Optics, Physics of Fluids, Quantum
                                                                                                                                                                                                             Portuguese, Russian and Spanish),
     Wednesday                                                                                                               Mechanics and its Applications,         You choose about eight further          and the Centre for Education
                                                                                                                             Thermal Physics II                      modules (not all modules are the        Studies (Introduction to Secondary
     Thursday                            Physics Examples         Mathematical                            Sets and Numbers
                                                                                                                                                                     same length and may change over         School Teaching).
                                               Class                Analysis                                                 Analysis III and Multivariable          time) from:
                                                                                                                             Calculus extend ideas learnt in the
     Friday                                                    Sets and Numbers                             Mathematical     first year and introduce the analysis
                                                                                                              Analysis

06                                                                                                                                                                                                                                                07
MATHS AND PHYSICS UNDERGRADUATE STUDY - University of Warwick
THIRD Year                                                   THIRD Year
     BSc                                                          MMathPhys
     In the third year of the BSc you take a                      Opting for the MMathPhys allows you more
     module on Communicating Science. You                         time to explore the implications of what you
     select modules from the lists of options,                    have already learnt.
     which currently are:
                                                                  The third year, like the second year, consists of compulsory
                                                                  modules covering the material which will be assumed by         “The overlap – using cool maths
     Maths
                                                                  many of the fourth year modules, and modules chosen from       to explain the phenomena we see
     Functional Applied Analysis, Complex Analysis, Fluid         lists of options. The core modules are:                        around us – is what I am particularly
     Dynamics, Measure Theory, Theory of PDEs, Topics in
     Mathematical Biology                                                                                                        interested in. I don’t just want to
                                                                  Physics                                                        be told the answers though; being
                                                                  Quantum Physics of Atoms, Kinetic Theory, Electrodynamics      able to learn more deeply, and fully
     Physics
                                                                                                                                 understand these problems is much
     Astrophysics, Condensed Matter Physics, Galaxies and
     Cosmology, Electrodynamics, Nuclear Physics, Plasma          Mathematics
                                                                                                                                 more important to me. It has enabled
     Electrodynamics, Physics in Medicine, Quantum Physics                                                                       me to develop so many useful skills,
                                                                  Fluid Dynamics
     of Atoms, Scientific Computing, The Standard Model,                                                                         alongside learning more about
     Statistical Physics, The Earth and its Atmosphere
                                                                  There is a Laboratory and Skills module. As a member of a      my subjects.”
                                                                  group of three students, you complete an experiment and a
                                                                  computer-based simulation of a physical system.
     Outside Options
     Modules from WBS, the Language Centre, the                   You present your results both orally and in an extended        Beth Kynman
     Mathematics, and other, departments.                         written report.                                                Civil Servant
                                                                                                                                 2019 MMathPhys graduate
     You can choose to carry out a research-style project         Typically, you take a further six modules from the options
     worth 30% of the year’s credit. A project brings you into    listed for the third year of the BSc.
     contact with a research group, where you work with and
     alongside postgraduate students and research fellows.
     It can give fresh insight into the way research scientists
     work and think.

08                                                                                                                                                                   09
MATHS AND PHYSICS UNDERGRADUATE STUDY - University of Warwick
FOURTH Year
     During the fourth year you join one of the research groups and
     work with a partner on a research-style project.
     The project work gives you               Mathematics                             High Performance Computing in
     experience of working more                                                       Physics, Neutrino Physics, Physics
                                              Advanced Partial Differential
     independently. This experience                                                   of Fusion Power, Planets Exo-
                                              Equations, Dynamical Systems,
     should be valuable to you in your                                                planets and Life, Quantum Theory
                                              Fourier Analysis, Linear Analysis,
     subsequent career, whether you                                                   of Interacting Particles, Relativistic
                                              Quantum Mechanics: Basic
     choose to work as a scientist or not,                                            Quantum Mechanics, Solar
                                              Principles and Probabilistic Methods,
     and can help you when you are                                                    Magnetohydrodynamics, Structure
                                              Statistical Mechanics, Topics in
     making decisions about possible                                                  and Dynamics of Solids.
                                              Mathematical Biology.
     careers.
                                                                                      You may also take modules from
                                              Modules from the third year lists can
     You also take between six and                                                    the third year which you have not
                                              also be chosen.
     twelve of the following modules (not                                             already taken.
     all modules are the same length)
     choosing at least two from the list of                                           Outside Options
                                              Physics
     physics modules and two from the
                                                                                      There is no formal list of outside
     list of mathematics modules. The lists   Advanced Particle Physics,
                                                                                      options. However, you can
     are currently:                           Condensed Matter Physics II,
                                                                                      follow modules from outside the
                                              Distant Universe, Gauge Theories of
                                                                                      department provided that the
                                              Particle Physics, General Relativity,
                                                                                      timetable permits this.

     INTERCALATED Year
     You may also extend the BSc degree by inserting
     an extra year (usually) between your second and
     what would otherwise be your third year.

     You would spend this ‘intercalated’ year studying
     at a foreign university or working in a research
     laboratory.

10                                                                                                                             11
MATHS AND PHYSICS UNDERGRADUATE STUDY - University of Warwick
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If you are made and accept an offer,        Warwick. We provide extra financial                department of choice, visit
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to warmly welcoming you at the start        studentfunding
of your life here at Warwick.
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OVERSEAS APPLICANTS                         Team. warwick.ac.uk/accommodation
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Undergraduate Admissions               warwick.ac.uk/physics                       Disclaimer: This course information was accurate at the time of
Department of Physics                                                     publication (May 2020). Our course and module content and schedule
The University of Warwick              +44 (0) 24 7652 3965                     is continually reviewed and updated to reflect the latest research
                                                                            expertise at Warwick, so it is therefore very important that you check
Coventry                                                                  the relevant course website for the latest information before you apply
CV4 7AL                                                                  and when you accept an offer. For full terms and conditions, please visit
                                                                                                             warwick.ac.uk/ugtermsandconditions
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