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Mathematics and Computational Science – (M.Sc.)

The University of Manchester

School of Mathematics
Annual Tuition Fee: ≈ € 4,170 ≈ € 18,750 (non-EEA)
Location: Manchester / United Kingdom / View location on map ▾ Hide location on map ▴
Duration: 12 months Start Date: September
Educational Form:
  • Taught
Education Variants:
  • Fulltime
Languages: English 
-2.234344,53.519084

Location of The University of Manchester

Nowadays research progress in science and engineering is acknowledged to depend on the three inter-related aspects of theory, experiment, and simulation. Whilst the first two aspects tend to be more discipline-specific, progress in the third aspect (simulation) requires a cross-disciplinary approach.

Expertise from the applied sciences, engineering, mathematics, and computer science must be brought together to make progress. With the improvement in computational power, scientists and engineers wish to solve ever more difficult mathematical models, incorporating uncertainty and multiple physical models, and demanding higher resolution in their simulations.

To satisfy these demands, the Schools of Mathematics and Computer Science at the University of Manchester offer an M.Sc. programme entitled "Mathematics & Computational Science". The University of Manchester is exceptionally well-placed to provide this programme.

It has international research groups in all of the contributing disciplines: the end-user disciplines (computational chemistry, physics, materials science, earth sciences, engineering, etc.); applied mathematics and numerical analysis; and high performance computational science. Add to this combination, the high performance computing equipment and support provided by Manchester Computing, and you find an excellent environment in which to study Mathematics & Computational Science.

This MSc programme has two goals

* To develop research skills for study towards a PhD in the areas of numerical analysis, dynamical systems, PDEs, computational science, and related application areas.
* To develops skills in numerical computing in demand by industry. Mathematics and scientific computing are keys to solving problems and analyzing data in industry and commerce, such as biology (genomic research, medical imaging), finance (globalization of markets, sophisticated options trading), engineering (computational mechanics), and digital libraries (indexing and searching vast corpuses of data).


Contents

Course content

Students study modules in mathematics

* Numerical Linear Algebra
* Applied Dynamical Systems
* Numerical Functional Analysis
* Finite Element Method
* Numerical Optimisation

and in computational science

* Introduction to Computational Science
* Fundamentals of High Performance Execution
* High-Performance Computing in Science and Engineering
* Visualisation for High Performance Computing
* Neural Networks

Six of these modules are completed in the first two semesters and are worth a total of 90 credits. From early in the second semester, students work on a dissertation worth 90 credits.

Usually students choose a topic in:

* numerical analysis,
* inverse problems,
* mathematical finance,
* image processing,
* finite element methods and high performance computing,
* numerical solution of differential equations,
* numerical linear algebra,
* dynamical systems, or
* numerical optimisation.

Dissertations are normally supervised by a member of staff from the Numerical Analysis group in Mathematics or from the Centre for Novel Computing in Computer Science. Some projects are jointly supervised by a scientist working in industry or by an academic from the Faculty of Engineering and Physical Sciences.

You are normally required to take an English Proficiency Test if you come from a non-English speaking country.

Most European Universities recognise the IELTS test.

More information

Requirements

Entrance requirements

All applicants for postgraduate programmes should have a very good command of written and spoken English.

Students whose first language is not English require a minimum score of IELTS 6.5 or TOEFL 570 (paper-based) or 230 (computer-based).

Language Proficiency

Cambridge English: Advanced (CAE): Grade C (Score: 60)

Ask a Question

You can contact PGCE Enquiries to ask a question about Mathematics and Computational Science at The University of Manchester.

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