MA Degree Programme
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.
We offer a lively and modem 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.
Although you have specified an intended Honours course on your UCAS form, this choice is not binding once you start your studies. Each year, you plan that year’s studies based on your current experience with the help of an Adviser of Studies. This means you can navigate your own route to the degree combination with which you graduate. This flexibility is important and you may not find it available in every university. The other subjects you study at Level 1 and Level 2 allow you to broaden your education and retain flexibility in your degree.
Level 1 Mathematics 1A
This module is made up of a Calculus component and an Algebra component. The Calculus component covers Functions and Differential Calculus while the Algebra component covers Polynomials, Trigonometry, Series and Conic Sections.
This module is made up of a Calculus component and an Algebra component. The Calculus component covers Integral Calculus and Differential Equations. The Algebra component covers Vectors, Matrices and Linear Equations, Complex Numbers and 3D Geometry.
Level 2 Mathematics 2A
Further Differential Equations, Taylor Series, Applications of Integration, Vector Spaces, Inner Products, Linear Equations and Matrices.
Multivariate Calculus, Further Series, Abstract Vector Spaces, Eigenvalues and Eigenvectors, Linear Mappings.
For further information on the content of all Mathematics modules please see www.maths.dundee.ac.uk/teaching
Mathematics is taught as a broad-based syllabus at Levels 1 to 3. This leads onwards in Level 4 to a set of topics inspired by our internationally- rated research strengths in Applied Mathematics, including numerical analysis, mathematical biology, applied analysis and magnetohydrodynamics. This means that our undergraduate programme is always up-to-date and focused on important and exciting applications of modern mathematics.
We offer a range of both BSc and MA Degrees. In the MA Degree Programme you can study the following joint honours combinations:
• MA (Hons) Mathematics and English
• MA (Hons) Mathematics and Business Economics with Marketing
Mathematics is of vital importance in modem 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.
You can join DuMaS (Dundee Mathematical Society), our student society, which regularly organises social events such as the annual ball, bowling or cinema nights, careers events and BBQs.
Whatever your mathematical interest, you can pursue it at Dundee.
Newton’s Laws of Motion, Forces, Dynamics, Energy, Euler’s equations, Trajectories, Oscillations.
Statistics and Discrete Mathematics
This module is made up of a Statistics component and a Discrete Maths component. The Statistics component covers Data analysis, Probability, Distributions of Random Variables. The Discrete Maths component covers Difference Equations, Markov Chains and Game Theory.
At Levels 3 and 4, with the joint honours degrees, Mathematics and Business Economics with Marketing and Mathematics and English, you and your Advisor of Studies will select a suitable combination of the mathematics modules and modules from Economics and English to best suit you and your interests.
The following two Semester 1 modules are compulsory: Differential Equations
Ordinary and Partial Differential Equations, Fourier Series.
Coordinate Systems, Scalar and Vector Fields, Vector Operators, Vector Integrals, Fundamental Field Equations.
In Semester 2, students may select two of the following four modules:
Fundamentals of Scientific Computing
Computer Arithmetic and Round-off Errors, Direct Methods for Solving Linear Systems of Equations, Iterative Methods for Solving Linear Systems, Iterative Methods for Eigenvalue Problems, Using MATLAB to solve problems in linear algebra.
Functions of a Complex Variable, Residue Calculus, The Fundamental Theorem of Algebra, Conformal Mapping.
Manifolds, Differential Forms, Exterior Algebra, Integration of Forms, Lie Derivates.
Brief Historical Survey, Connectedness, Eulerian and Hamiltonian Graphs, Trees, Graph Colourings, Planar and Non-Planar Graphs.
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