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Mathematics

What is distinctive about Mathematics?

At the University of Dundee, we focus on applied mathematics – branches of mathematics which have been developed in direct response to practical needs. Our research in Applied Mathematics is rated grade 5 – equal top in Scotland.

We offer a lively and modern programme of study, presented in a stimulating, fast-moving environment. Members of our staff are leaders in their fields so they give deep insight whilst making their topic clear and understandable. For example, Professor Roger Fletcher was recently elected to the highly prestigious Royal Society, joining influential scientific figures such as Isaac Newton, Charles Darwin, Albert Einstein and Stephen Hawking. Roger's ground-breaking research in optimisation has contributed to the formulation of solutions to problems for engineers to achieve minimum cost and maximum strength in the design of bridges and buildings, and the calculation of how power companies can distribute power to the consumer with the minimum loss of energy.

Mathematics is of vital importance in modern society. It is central to the study of science. Few scientific discoveries are possible without underlying mathematical theories. Also, an understanding of many industrial processes and socio-economic problems can only be achieved through the derivation and analysis of appropriate mathematical models.
Mathematics is well resourced with the following facilities for students:

Whatever your mathematical interest, you can pursue it at Dundee.

Module Content

Level 1

Calculus - Differential and Integral Calculus

Algebra - Matrices and linear equations, functions, polynomials

Geometry - Vector and matrix geometry, 3D geometry

Trigonometry - Identities and relations to geometry

Level 2

Calculus - Differential equations, Taylor series, multivariate calculus

Algebra - Complex numbers, lines and planes, vectors, linear equations, matrices and vector spaces

Statistical Science (Optional) - Data analysis, probability, random variables

Mechanics (Optional) - Newton's Laws of Motion, springs, dampers, friction and circular motion

Levels 3 & 4

Study Abroad students may take level 3 & 4 modules, however, evidence of prior knowledge may be required in the form of transcripts. To find out more about this contact us.

Differential Equations - Ordinary and partial differential equations

Mathematical Methods - Vector analysis, Fourier Series, separation of variables

Linear Algebra - Vector spaces, matrix algebra, factorisation, modelling

Operational Research - Linear programming, network problems, model building

It may also be possible to select some of the following Level 3 modules (possibly in the 4th year of your studies):

Statistics - Inference, regression, distribution theory, design and analysis of experiments

History of Mathematics - History and development of key mathematical topics from the 16th century onwards

Analysis - Metric spaces, normed spaces, convergence, differentiation and integration

Please contact us for further details about these modules, including timetables and credits.