Theoretical Physics MPhys
University of LiverpoolPrice on request
Important information
Typology  Bachelor's degree 
Location  Liverpool 
 Bachelor's degree
 Liverpool
Physics and Mathematics degrees are highly prized and our graduates have excellent career opportunities in industrial research and development, computing, business, finance and teaching. We offer one threeyear BSc degree and two fouryear degrees, MMath or MPhys, combining these two intimately related disciplines. These programmes provide a strong mathematical training, and mathematical techniques help you to deal with new ideas that often seem counterintuitive, such as string theory, black holes, superconductors and chaos theory. In Year One you will take three core Mathematics modules, a module in Dynamic Modelling, and modules in The Material Universe, Practical Physics, Wave Phenomena, and Foundations of Modern Physics. After passing the first year, you have the flexibility of transferring to Mathematics or Physics if you wish, subject to approval. Department Key Facts Number of first year students197 Year One undergraduates in 2015 Graduate prospects89.1% of our graduates are employed or in further study within six months of graduating (Destination of Leavers from Higher Education 2012/13) National Student Survey87% of our students agree staff are good at explaining things (National Student Survey 2015) Why this subject? Take the first steps towards a brilliant career. Employers tell us that, alongside key problem solving skills, they want strong communication skills and the ability to work in a team – so we have ensured that these are integral to our Mathematics programmes. As a result, we have an excellent graduate employment record. About a third of graduates become business and finance professionals; but there is a whole host of other careers which our graduates have found success in...
Location
Starts
Starts
On requestTo take into account
· Requirements
Entry Requirements A level offerAAB Subject requirementsMathematics A level at grade A and Physics A level at grade B BTECApplications considered. Relevant when combined with A level Mathematics grade A International Baccalaureate35 including 6 at higher level in Physics and Mathematics Irish Leaving CertificateA1, A1, A1, B1 (including Maths at A1 and Physics at B1) Scottish Higher/Advanced HigherNot accepted without Advanced Highers AAB Advanced Welsh BaccalaureateAccepted, including A level Mathematics at grade...
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What you'll learn on the course
Credit  Computing  Basic  IT  
Basic IT training  Basic IT  Teaching  Mathematics  
Mechanics  Calculus  Algebra  Geometry  
Finance  systems  GCSE Mathematics  GCSE Physics  
Skills and Training  Business Finance 
Credit 
IT  
Computing

IT  Computing

Credit  
Computing
 Computing

Course programme
For these programmes you may take (ac), (e) and the Physics modules Electricity and Magnetism, Practical Techniques in Physics, Introduction to Relativity, Introduction to Quantum Physics, Thermal Physics and Computing Techniques in Physics. After passing the first year, you have the flexibility of transferring to Mathematics or Physics if you wish, subject to approval. For F344 or FGH1 you may take (d) instead of one of the Physics modules. For F344 there is another route, taking more Physics modules; if you take this route you will study the same mathematics modules as Physics students. Please see the Physics subject brochure for more information or call +44(0) 151 794 5927 to obtain a copy.
Compulsory modules
Calculus I (MATH101)
Level
1
Credit level
15
Semester
First Semester
Exam:Coursework weighting
80:20
Aims
1. To introduce the basic ideas of differential and integral calculus, to develop the basic skills required to work with them and to apply these skills to a range of problems.
2. To introduce some of the fundamental concepts and techniques of real analysis, including limits and continuity.
3. To introduce the notions of sequences and series and of their convergence.
Learning OutcomesAfter completing the module students should be able to:
· differentiate and integrate a wide range of functions;
· sketch graphs and solve problems involving optimisation and mensuration;
· understand the notions of sequence and series and apply a range of tests to determine if a series is convergent.

Calculus Ii (MATH102)
Level
1
Credit level
15
Semester
Second Semester
Exam:Coursework weighting
80:20
Aims
· To discuss local behaviour of functions using Taylor’s theorem.
· To introduce multivariable calculus including partial differentiation, gradient, extremum values and double integrals.
Learning OutcomesAfter completing the module, students should be able to:
· use Taylor series to obtain local approximations to functions;
· obtain partial derivatives and use them in several applications such as, error analysis, stationary points change of variables;
· evaluate double integrals using Cartesian and polar coordinates.

Introduction To Linear Algebra (MATH103)
Level
1
Credit level
15
Semester
First Semester
Exam:Coursework weighting
80:20
Aims
 To develop techniques of complex numbers and linear algebra, including equation solving, matrix arithmetic and the computation of eigenvalues and eigenvectors.
 To develop geometrical intuition in 2 and 3 dimensions.
 To introduce students to the concept of subspace in a concrete situation.
 To provide a foundation for the study of linear problems both within mathematics and in other subjects.
After completing the module students should be ableto:
 manipulate complex numbers and solve simple equations involving them
 solve arbitrary systems of linear equations;
 understand and use matrix arithmetic, including the computation of matrix inverses;
 compute and use determinants;
 understand and use vector methods in the geometry of 2 and 3 dimensions;
 calculate eigenvalues and eigenvectors and, if time permits, apply these calculations to the geometry of conics and quadrics.

Dynamic Modelling (MATH122)
Level
1
Credit level
15
Semester
Second Semester
Exam:Coursework weighting
80:20
Aims
1. to provide the basic methods for modelling mathematically topics in subjects like biology, engineering, physical sciences and social sciences;
2. to discuss the advantages of using mathematics in modelling;
3. to demonstrate some simple models involving differential equations and difference equations;
4. to provide a foundation for an understanding of mechanics. Learning OutcomesAfter completing the module students should be able to:
. solve simple differential equations;
· understand some methods of mathematical modelling and, in particular, the need to attach meaning to mathematical results;
· develop some differential equations for population growth, and interpret the results;
· understand Newton''s laws of Mechanics;
· do simple problems in projectiles and orbits, some involving polar coordinates.
In the second and subsequent years of all programmes, there is a wide range of modules. For the programme that you choose there may be no compulsory modules (although you may have to choose a few from a subset such as Pure Mathematics). If you make a different choice, you will find that one or more modules have to be taken. Each year you will choose the equivalent of eight modules. Please note that we regularly review our teaching so the choice of modules may change.
Year Two modules
 Ordinary differential equations
 Group projects
 Iteration and Fourier series
 Complex functions
 Linear algebra and geometry
 Commutative algebra
 Geometry of curves
 Introduction to the methods of applied mathematics
 Vector calculus with applications in fluid mechanics
 Mathematical models of nonphysical systems
 Classical mechanics
 Numerical analysis, solution of linear equations
 Introduction to methods of operational research
 Introduction to financial mathematics
 Statistical theory and methods I
 Statistical theory and methods II
 Operational research: probabilistic models
In the second and subsequent years of all programmes, there is a wide range of modules. For the programme that you choose there may be no compulsory modules (although you may have to choose a few from a subset such as Pure Mathematics). If you make a different choice, you will find that one or more modules have to be taken. Each year you will choose the equivalent of eight modules. Please note that we regularly review our teaching so the choice of modules may change.
Year Three modules
 History of mathematics
 Number theory
 Group theory
 Combinatorics
 Differential geometry
 Riemann surfaces
 Chaos and dynamical systems
 Further methods of applied mathematics
 Cartesian tensors and mathematical models of solids and viscous fluids
 Quantum mechanics
 Relativity
 Introduction to variational calculus and homogenization theory
 Nonphysical applications I (mathematical economics)
 Nonphysical applications II (population dynamics)
 Theory of statistical inference
 Linear statistical models
 Networks in theory and practice
 Applied probability
 Mathematical physics essay (F326)
 Risk management
 Introduction to modern particle physics
 Metric spaces and topology
 Medical statistics
 Projects in pure and applied mathematics, statistics and theoretical physics
There is a large set of modules available, some of which are taught in alternate years. MMath/MPhys students will take at least seven of these during Years Three and Four. There is also a compulsory project.
The modules listed above are illustrative and subject to change. Please refer to the department site for further information