Mathematics / Applied Mathematics

Course description

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**

- 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)**
5E: ALGEBRAIC AND GEOMETRIC TOPOLOGY
5E: CONTINUUM MECHANICS AND ELASTICITY
5E: DIFFERENTIAL GEOMETRY
5E: FLUID MECHANICS
5E: FUNCTIONAL ANALYSIS
5E: FURTHER COMPLEX ANALYSIS
5E: GALOIS THEORY
5E: MATHEMATICAL BIOLOGY
5E: MATHEMATICAL PHYSICS
5E: NUMERICAL METHODS
5E: NUMBER THEORY
5E: PARTIAL DIFFERENTIAL EQUATIONS
5E: TOPICS IN ALGEBRA

**Level-M Courses (20 credits)**
5M: ADVANCED ALGEBRAIC AND GEOMETRIC TOPOLOGY
5M: ADVANCED DIFFERENTIAL GEOMETRY AND TOPOLOGY
5M: ADVANCED FUNCTIONAL ANALYSIS (SMSTC)
5M: ADVANCED METHODS IN DIFFERENTIAL EQUATIONS
5M: ADVANCED NUMERICAL METHODS
5M: BIOLOGICAL AND PHYSIOLOGICAL FLUID DYNAMICS
5M: COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY
5M: ELASTICITY
5M: FURTHER TOPICS IN GROUP THEORY
5M: LIE GROUPS, LIE ALGEBRAS AND THEIR REPRESENTATIONS
5M: MAGNETOHYDRODYNAMICS
5M: OPERATOR ALGEBRAS
5M: SOLITONS
5M: CLASSICAL FIELD THEORY

**SMSTC Courses (20 credits)**
5M: ADVANCED FUNCTIONAL ANALYSIS (SMSTC)
5M: APPLIED MATHEMATICAL METHODS (SMSTC)

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

Subjects

• Applied mathematics