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The Masters in Mathematics/Applied Mathematics offers courses, taught by experts, across a wide range. Mathematics is highly developed yet continually growing, providing new insights and applications. Read more
The Masters in Mathematics/Applied Mathematics offers courses, taught by experts, across a wide range. Mathematics is highly developed yet continually growing, providing new insights and applications. It is the medium for expressing knowledge about many physical phenomena and is concerned with patterns, systems, and structures unrestricted by any specific application, but also allows for applications across many disciplines.

Why this programme

◾Mathematics at the University of Glasgow is ranked 3rd in Scotland (Complete University Guide 2017).
◾The School has a strong international reputation in pure and applied mathematics research and our PGT programmes in Mathematics offer a large range of courses ranging from pure algebra and analysis to courses on mathematical biology and fluids.
◾You will be taught by experts across a wide range of pure and applied mathematics and you will develop a mature understanding of fundamental theories and analytical skills applicable to many situations.
◾You will participate in an extensive and varied seminar programme, are taught by internationally renowned lecturers and experience a wide variety of projects.
◾Our students graduate with a varied skill set, including core professional skills, and a portfolio of substantive applied and practical work.

Programme structure

Modes of delivery of the Masters in Mathematics/Applied Mathematics include lectures, laboratory classes, seminars and tutorials and allow students the opportunity to take part in project work.

If you are studying for the MSc you will take a total of 120 credits from a mixture of Level-4 Honours courses, Level-M courses and courses delivered by the Scottish Mathematical Sciences Training Centre (SMSTC).

You will take courses worth a minimum of 90 credits from Level-M courses and those delivered by the SMSTC. The remaining 30 credits may be chosen from final-year Level-H courses. The Level-M courses offered in a particular session will depend on student demand. Below are courses currently offered at these levels, but the options may vary from year to year.

Level-H courses (10 or 20 credits)
◾Algebraic & geometric topology
◾Continuum mechanics & elasticity
◾Differential geometry
◾Fluid mechanics
◾Functional analysis
◾Further complex analysis
◾Galois theory
◾Mathematical biology
◾Mathematical physics
◾Numerical methods
◾Number theory
◾Partial differential equations
◾Topics in algebra.

Level-M courses (20 credits)
◾Advanced algebraic & geometric topology
◾Advanced differential geometry & topology
◾Advanced functional analysis
◾Advanced methods in differential equations
◾Advanced numerical methods
◾Biological & physiological fluid mechanics
◾Commutative algebra & algebraic geometry
◾Elasticity
◾Further topics in group theory
◾Lie groups, lie algebras & their representations
◾Magnetohydrodynamics
◾Operator algebras
◾Solitons
◾Special relativity & classical field theory.

SMSTC courses (20 credits)
◾Advanced Functional Analysis
◾Advanced Mathematical Methods

The project titles are offered each year by academic staff and so change annually.

Career prospects

Career opportunities are diverse and varied and include academia, teaching, industry and finance.

Graduates of this programme have gone on to positions such as:
Maths Tutor at a university.

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This intensive introduction to advanced pure and applied mathematics draws on our strengths in algebra, geometry, topology, number theory, fluid dynamics and solar physics. Read more

About the course

This intensive introduction to advanced pure and applied mathematics draws on our strengths in algebra, geometry, topology, number theory, fluid dynamics and solar physics. You’ll attend lectures but you’ll also get hands-on research experience, writing a dissertation supervised by an active researcher.

Your career

Our graduates go into finance, manufacturing and pharmaceuticals. They work for government agencies and research institutes with major organisations such as First Direct, GlaxoSmithKline, Marks and Spencer, the Government Statistical Service and Medical Research Council units. Our courses can also prepare you for PhD-level research.

About us

Our academics are in demand. They are members of international societies and organisations, and they speak at conferences around the world. They bring new ideas into the classroom so you can see how research is improving on existing approaches. Our solar scientists were the first to record musical sounds created by vibrations in the sun’s atmosphere.

Our Statistical Services Unit works with industry, commerce and the public sector. The services they provide include consultancy, training courses and computer software development.

Different ways to study

You can study full-time over a year or part-time over two to three years via online distance learning. The MSc Mathematics is only available as a full-time course.

Modules

Possible module choices include: Algebra; Analysis; Geometry; Algebraic Topology; Number Theory; Topics in Advanced Fluid Dynamics; Analytical Dynamics and Classical Field Theory; Mathematical Modelling of Natural Systems; Stochastic Processes and Finance; Waves and Magnetohydrodynamics.

Teaching and assessment

There are lectures and seminars. You’re assessed by exams, coursework and a dissertation.

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The first intake for this course will be September 2015. The focus of this course is using mathematics to solve real world problems, such as in finance, energy, engineering or scientific research. Read more
The first intake for this course will be September 2015.

The focus of this course is using mathematics to solve real world problems, such as in finance, energy, engineering or scientific research. The combination of the applied nature of the mathematics that is taught, with the masters level of this course, makes this qualification highly attractive to employers.

Why study Applied Mathematics at Dundee?

Many of the topics taught are directly linked to the research that we do, so you will be learning at the cutting edge of applied mathematics.

We are a relatively small division and operate with an excellent staff/student ratio. One advantage of this is that we can get to know each student personally, and so can offer a friendly and supportive learning experience. Staff are ready and willing to help at all levels, and in addition, our Student-Staff Committee meets regularly to discuss matters of importance to our students.

We also offer students the chance to choose a selection of modules from other subject areas such as economics and finance.

Specialist software:
We have a wide selection of mathematical software packages such as MATLAB, Maple and COMSOL, which are used throughout the course.

Weekly seminar programme:
We have a weekly seminar programme in the mathematics division, which features talks in the areas of research strength in the division, Mathematical Biology, Applied Analysis, Magnetohydrodynamics and Numerical Analysis & Scientific Computing.

How you will be taught

You will learn by traditional methods such as lectures, tutorials, and workshops as well as via computer assisted learning. We teach the use of professional mathematical software packages in order to allow you to explore mathematics far beyond the limits of traditional teaching.

Individual reading and study takes a particularly important role in the Summer project. For the project, you will be guided to prepare your research project plan and to develop skills and competence in research including project management, critical thinking and problem solving, project reporting and presentation.

What you will study

This one year course involves taking four taught modules in semester 1 (September-December), followed by a further 4 taught modules in semester 2 (January-May), and undertaking a project over the Summer (May-August).

A typical selection of taught modules would be eight of the following:

Dynamical Systems
Computational Modelling
Statistics & Stochastic Models
Inverse Problems
Mathematical Oncology
Mathematical Ecology & Epidemiology
Mathematical Physiology
Fluid Dynamics
Optimization in Finance and Energy
Personal Transferable Skills
We also offer the option of relacing one or two mathematics modules with modules from subjects such as Global Risk Analysis, Energy Economics, Quantitative Methods and Econometrics for Finance.

How you will be assessed

Assessment is via a mix of open book continual assessment and closed book examinations, with a substantial project completed over the Summer.

Careers

Mathematics is central to the sciences, and to the development of a prosperous, modern society. The demand for people with mathematical qualifications is considerable, and a degree in mathematics is a highly marketable asset.

Mathematics graduates are consistently amongst those attracting the highest graduate salaries and can choose from an ever widening range of careers in research, industry, science, engineering, commerce, finance and education.

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