MATHS AND PHYSICS UNDERGRADUATE STUDY - University of Warwick
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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
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
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
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
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
FIND OUT MORE HOW TO APPLY STUDENT FEES AND FUNDING DISCOVER MORE Applications are made through UCAS We want to ensure that, wherever To find out more about the ucas.com possible, financial circumstances do University, including opportunities not become a barrier to studying at to visit and engage with your If you are made and accept an offer, Warwick. We provide extra financial department of choice, visit and meet all conditions we will support for qualifying students from warwick.ac.uk/undergraduate/visits confirm your place and look forward lower income families. warwick.ac.uk/ to warmly welcoming you at the start studentfunding of your life here at Warwick. ACCOMMODATION For more detailed information Warwick Accommodation has around about how we process applications 7000 rooms across a range of well- please visit: warwick.ac.uk/study/ managed, self-catering residences. undergraduate/apply We also have an excellent network of support staff in the Residential Life OVERSEAS APPLICANTS Team. warwick.ac.uk/accommodation At Warwick, we welcome applications from across the globe, and have dedicated teams available to advise and support, as well as a global network of Agents and Representatives. For more information on applying from your country see: warwick.ac.uk/io 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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