Mathematical Physics MMath
Bachelor's degree
In Liverpool
Description
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Type
Bachelor's degree
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Location
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 three-year BSc degree and two four-year 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...
Facilities
Location
Start date
Start date
About this course
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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Subjects
- Credit
- Computing
- Basic
- IT
- Basic IT training
- Basic IT
- Mathematics
- Mechanics
- Calculus
- Finance
- Systems
- GCSE Mathematics
- GCSE Physics
- Mathematical Physics
- Skills and Training
- Business Finance
Course programme
Compulsory modules
Compulsory modules
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Vector Calculus With Applications In Fluid Mechanics (MATH225)
Level
2
Credit level
15
Semester
First Semester
Exam:Coursework weighting
85:15
Aims
To provide an understanding of the various vector integrals, the operators div, grad and curl and the relations between them.
To give an appreciation of the many applications of vector calculus to physical situations.
To provide an introduction to the subjects of fluid mechanics and electromagnetism.
Learning OutcomesAfter completing the module students should be able to:
- Work confidently with different coordinate systems.
- Evaluate line, surface and volume integrals.
- Appreciate the need for the operators div, grad and curl together with the associated theorems of Gauss and Stokes.
- Recognise the many physical situations that involve the use of vector calculus.
- Apply mathematical modelling methodology to formulate and solve simple problems in electromagnetism and inviscid fluid flow.
All learning outcomes are assessed by both examination and course work.
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Introduction To The Methods of Applied Mathematics (MATH224)
Level
2
Credit level
15
Semester
Second Semester
Exam:Coursework weighting
90:10
Aims
To provide a grounding in elementary approaches to solution of some of the standard partial differential equations encountered in the applications of mathematics.
To introduce some of the basic tools (Fourier Series) used in the solution of differential equations and other applications of mathematics.
Learning OutcomesAfter completing the module students should:
- be fluent in the solution of basic ordinary differential equations, including systems of first order equations;
- be familiar with the concept of Fourier series and their potential application to the solution of both ordinary and partial differential equations;
- be familiar with the concept of Laplace transforms and their potential application to the solution of both ordinary and partial differential equations;
- be able to solve simple first order partial differential equations;
- be able to solve the basic boundary value problems for second order linear partial differential equations using the method of separation of variables.
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Complex Functions (MATH243)
Level
2
Credit level
15
Semester
First Semester
Exam:Coursework weighting
80:20
Aims
To introduce the student to a surprising, very beautiful theory having intimate connections with other areas of mathematics and physical sciences, for instance ordinary and partial differential equations and potential theory.
Learning OutcomesAfter completing this module students should:
- appreciate the central role of complex numbers in mathematics;
- be familiar with all the classical holomorphic functions;
- be able to compute Taylor and Laurent series of such functions;
- understand the content and relevance of the various Cauchy formulae and theorems;
- be familiar with the reduction of real definite integrals to contour integrals;
- be competent at computing contour integrals.
- 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
- Non-physical applications I (mathematical economics)
- Non-physical applications II (population dynamics)
- Theory of statistical inference
- Linear statistical models
- Networks in theory and practice
- Applied probability
- 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
Mathematical Physics MMath