A lively, modern programme combining applications of mathematics with topics covering the full scale and majesty of the physical universe.
Overview
Mathematics is essential to the study of science  few scientific developments are possible without underlying mathematical theories. What’s more, physics is the most fundamental of the sciences, concerned with the nature and properties of matter and energy. In the context of astronomical phenomena, circumstances may conspire to produce extreme physical conditions  of gravity, pressure and temperature, for example. Here we push our understanding of core physics principles and laws to the absolute limit, providing critical new insights into the nature of the universe.
The topics covered within this degree underpin significant employment sectors in our modern technology and datadriven economy. As a graduate you will have developed a wide range of tools to address problems in a range of scientific and technological fields, and to develop modelling approaches for finance and industry.
We believe that undergraduates are best served by studying in an environment where both teaching and research are undertaken at the highest level, and we are fortunate to have an excellent international reputation in both areas. Our courses are taught by those who have great enthusiasm for their subject, a dedication to it, and an appreciation of the needs of students.
Physics and Mathematics Student Societies
Our active Physics and Mathematics student societies run various events every year. The Physics Society arranges annual international trips to notable Physicslinked locations including the European Space Agency (2014), CERN (2015) & The Niels Bohr Institute (2016).
Entry Requirements
The following are the minimum, uptodate entry requirements.
Courses starting 2018 and 2019  

Qualification  Level 1 Entry  Advanced Entry to Level 2 
SQA Higher/Advanced Higher  BBBB (minimum)  AABB (typical) at Higher including mathematics and physics  AB at Advanced Higher including mathematics and physics, plus AB at Higher in different subjects 
GCE ALevel  BCC (minimum)  BBB (typical) including ALevel mathematics and physics  BBB (minimum)  AAB (typical) including ALevel mathematics and physics 
BTEC  A relevant BTEC Level 3 Extended Diploma with DDM  A relevant BTEC Level 3 Extended Diploma with DDD. 
International Baccalaureate (IB) Diploma  30 points at Higher Level grades 5, 5, 5 to include mathematics and physics or an engineering subject  34 points at Higher Level grades 6, 6, 5 to include mathematics and physics 
Irish Leaving Certificate (ILC)  H2H2H3H3 (typical) at Higher including mathematics and physics  Level 2 entry is not possible with this qualification 
Graduate Entry  
SQA Higher National (HNC/HND)  A relevant HNC with B in the Graded Unit including Mathematics for Engineering 1  A relevant HNC with A in the Graded Unit including Mathematics for Engineering 2 and 120 SCQF points A relevant HND with BB in the Graded Units including Mathematics for Engineering 2 
Scottish Baccalaureate  Pass with BC at Advanced Higher in Mathematics and a Science/Engineering subject  Distinction with AB (MSci) at Advanced Higher in Mathematics and a Science/Engineering subject 
SWAP Access  Relevant science subjects with ABB grades including Mathematics and Physics Units at SCQF Level 6  Level 2 entry is not possible with this qualification 
Advanced Diploma  Grade B with ASLA Levels at AB in Mathematics and a Science/Engineering subject  Grade B with ASLA Level at AA in Mathematics and a Science/Engineering subject 
Welsh Baccalaureate  Pass with A level at AB in Mathematics and a Science/Engineering subject  Pass with A level at AA in Mathematics and a Science/Engineering subject 
European Baccalaureate  70% overall with 7 in Mathematics and a Science/Engineering subject  75% overall with 7.5 in Mathematics and a Science/Engineering subject 
Other Qualifications  
Notes 
EU and International qualifications
English Language Requirement
For non EU students
IELTS Overall  6.0 

Listening  5.5 
Reading  5.5 
Writing  6.0 
Speaking  5.5 
Equivalent grades from other test providers
English Language Programmes
We offer PreSessional and Foundation Programme(s) throughout the year. These are designed to prepare you for university study in the UK when you have not yet met the language requirements for direct entry onto a degree programme.
Teaching Excellence Framework (TEF)
The University of Dundee has been given a Gold award – the highest possible rating – in the 2017 Teaching Excellence Framework (TEF).
Teaching & Assessment
How you will be assessed
Our approach to assessment embraces a wide range of formats over the full term of your degree. This will help you develop the essential transferable skills required for future study and employment. Our methods include:
 Examinations
 Extended Assignments
 Weekly Problems
 Formal Reports
 Practical Laboratory Work
 In class presentations as individuals and/or groups
 Practical Research Methods
Our taught elements are structured to prepare you for the various assessments. You will also have tutorials and problem classes for specific modules and we will also guide you through your revision strategies. All staff operate an 'open door' policy so that your questions and queries can be answered in a timely fashion.
How you will be taught
 Lectures
 workshops
 practical classes
 tutorials
 module specific problem classes
 peertopeer tuition and exam preparation in conjunction with our undergraduate Physics and Mathematics Societies
 talks by invited speakers
You will also meet regularly with an academic advisor of studies who will provide guidance and support throughout your degree and help develop your problem solving skills. This fosters excellent staffstudent rapport and ensures an extremely friendly and supportive atmosphere for you.
Level 1
 Professional Physics
 Mechanics
 Electromagnetism & circuits
 Space Physics & Astronomy
 Light and Matter
 Waves and Mechanics
About the module
This module consists of a Calculus and Algebra component. It is part of a series of four modules, Mathematics 1A, 1B, 2A, 2B, which are the core Mathematics modules in years 1 and 2, and provide the foundations in Calculus, Algebra and Geometry for all mathematics modules in higher levels. This module is mandatory for all Level 1 students on Mathematics (including Mathematics combined) degrees. The module is also suitable for students on nonmathematics degrees and recommended for students on physics and computing degrees. If you have questions about this module please contact our Undergraduate Admissions Tutor.
Prerequisites
Students taking this module should typically have at least a B in Mathematics in Scottish Highers, AS, or ALevel, or an equivalent qualification.
Indicative Content

Functions
Number systems (N, Z, Q, R), open and closed intervals, elementary functions, domain, range, composition, inverse. Inequalities. Idea of a limit for functions and for sequences.

Differential Calculus
Derivatives, tangents and rates of change. Simple derivatives by first principles. Treatment of (f + g)′ , (fg)′, (f/g)′, (f ? g)′ and inverse functions. Higher order derivatives. Implicit Differentiation. Revision of index laws and log to base a. Definitions and elementary properties of exp and ln. Solution of equations involving exponential and logarithmic functions. Differentiation of functions involving exponential and logarithmic functions. Logarithmic differentiation. Tangents and Normals to curves. Increasing and decreasing functions. Critical points. Curve sketching (including asymptotes).

Polynomials
Quadratic polynomials. Algebra and geometric representation of complex numbers. Division algorithm, Remainder theorem. Roots of polynomials. Techniques of partial fraction decomposition.

Trigonometry
Definitions and properties of the six trigonometric functions, including formulae for sin(A + B), sin A sin B, sin A + sin B, etc. Solution of trigonometric equations (including a cos(x) + b sin(x) = c).

Series
Series as sequences of partial sums. Summation of series and sigma notation. Convergence of series, geometric series. Examples of finite and infinite series. Binomial theorem.

Conics
Classification, standard forms, parametric representations.
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via coursework (100%) consisting of homeworks, projects and tests.
Credit Rating
This module is a Scottish Higher Education Level 1 or SCQF level 7 module and is rated as 20 SCOTCAT credits or 10 ECTS credits.
About the module
This module consists of a Calculus and Algebra component. It is part of a series of four modules, Mathematics 1A, 1B, 2A, 2B, which are the core Mathematics modules in years 1 and 2, and provide the foundations in Calculus, Algebra and Geometry for all mathematics modules in higher levels. This module is mandatory for all Level 1 students on Mathematics (including Mathematics combined) degrees. The module is also suitable for students on nonmathematics degrees and recommended for students on physics and computing degrees. If you have questions about this module please contact our Undergraduate Admissions Tutor.
Prerequisites
Students taking this module must have taken the module MA11001, or equivalent.
Indicative Content
Calculus Component

Integral Calculus
Idea of integral, including elementary treatment of the definite integral as a limit using rectangles. Fundamental theorem of calculus. Methods of integration including integration by substitution, by parts and with partial fractions. Relation of integrals with areas. Trapezium and Simpson′s rules for numerical integration.

Differential Equations
First order ordinary differential equations by (a) separation and (b) integrating factor. Second order ordinary differential equations with constant coefficients and simple right hand sides. (Complex roots included, but no resonance problems.)
Algebra Component

Vectors
Vector geometry in R² and R³ vector properties and manipulation. Unit vectors, position vectors, Cartesian coordinates. Scalar product and vector product.

Matrices and linear equations
Matrix properties, addition, multiplication. Inverse matrices, determinants. Linear mappings in R² (rotation, reflection). Systems of linear equations, Gaussian elimination and row operations.

(Further) complex numbers
Polar form, exponential notation. Multiplication, de Moivre′s Theorem, powers and roots.

Lines, planes and spheres
Implicit and parametric equations of lines. Implicit equations of planes. Intersections, distances between points, lines and planes. Equations of spheres, tangent planes. Linear dependence and independence, colinear and coplanar vectors.
Delivery and Assessment
This module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (50%) and coursework (50%) consisting of homeworks and tests and project work.
Credit Rating
This module is a Scottish Higher Education Level 1 or SCQF level 7 module and is rated as 20 SCOTCAT credits or 10 ECTS credits.
Level 2
 Electromagnetism & Light
 Introduction to Programming
 Classical & Quantum Matter
About the module
This module consists of a Calculus and Algebra component. It is part of a series of four modules, Mathematics 1A, 1B, 2A, 2B, which are the core Mathematics modules in years 1 and 2, and provide the foundations in Calculus, Algebra and Geometry for all mathematics modules in higher levels. This module is mandatory for all Level 2 students on Mathematics (including Mathematics combined) degrees. The module is also suitable for students on nonmathematics degrees and recommended for students on physics and computing degrees. If you have questions about this module please contact our Undergraduate Admissions Tutor or your Advisor of Studies.
Prerequisites
Students taking this module must have achieved a pass mark in each of the modules MA11001 and MA12001, or equivalents.
Indicative Content
Calculus Component

Differential Equations
Revision of linear differential equations of second order with constant coefficients using undetermined coefficients. General solutions and solutions satisfying initial conditions. Resonance. Equations of higher order.

Hyperbolic Functions
Hyperbolic Functions; Solution of simple equations, inverse functions. Revision of standard methods of definite integration, including hyperbolic substitutions.

Fundamentals of Calculus
Limits, Continuity and Differentiability. Rolle′s Theorem, Mean Value Theorem. Definition and properties of the Riemann integral, Fundamental Theorem of Calculus. L′Hôpital′s Rule and Indeterminate Forms. Infinite and improper integrals. Taylor & Maclaurin series.
Algebra Component

Vectors and vector spaces
Definition of a vector space, R^{n}. Vectors, lines and planes in R^{n}. Span, linear independence. Basis and dimension. Subspaces.

Inner product
Scalar product, length. Projection. Normal form of hyperplanes in R^{n}. Orthogonality.

Linear equations and matrices
Systems of linear equations. Gaussian elimination. Matrices and matrix operations, transposes and inverses. Matrix equations. LU factorisation. Determinants.
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (60%) and coursework (40%) consisting of homeworks and tests.
Credit Rating
This module is a Scottish Higher Education Level 2 or SCQF level 8 module and is rated as 20 SCOTCAT credits or 10 ECTS credits.
About the module
The aim of this module is to make the students familiar with a Computer Algebra software package and to use this software to solve a number of problems from the area of Dynamical Systems. This module is mandatory for all Level 2 students on Mathematics (including Mathematics combined) degrees except for those taking the BSc or MSci in Mathematics and Physics, for whom it is optional. If you have questions about this module please contact our Undergraduate Admissions Tutor or your Advisor of Studies.
Prerequisites
Students taking this module must have achieved a pass mark in each of the modules MA11001 and MA12001, or equivalents.
Indicative Content

An introduction to Maple
The Maple front end and syntax. Plotting. Integration/differentiation. Differential equations.

An introduction to Dynamical Systems
Vector fields, the gradient field, integrals of motion, fixed points and their classification. Examples of dynamical systems, including mass on a spring, pendulum, Van Der Pol oscillator, nonlinear oscillator. Conservation laws for a system of interacting bodies. Orbits in a gravitational field. Nonautonomous systems.
Delivery and Assessment
The module is delivered in the form of lectures and computer lab workshops. Assessment is entirely computerbased and is via an exam (60%) and coursework (40%) consisting of homeworks and tests.
Credit Rating
This module is a Scottish Higher Education Level 2 or SCQF level 8 module and is rated as 20 SCOTCAT credits or 10 ECTS credits.
About the module
This module consists of a Calculus and Algebra component. It is part of a series of four modules, Mathematics 1A, 1B, 2A, 2B, which are the core Mathematics modules in years 1 and 2, and provide the foundations in Calculus, Algebra and Geometry for all mathematics modules in higher levels. This module is mandatory for all Level 2 students on Mathematics (including Mathematics combined) degrees. The module is also suitable for students on nonmathematics degrees and recommended for students on physics and computing degrees. If you have questions about this module please contact our Undergraduate Admissions Tutor or your Advisor of Studies.
Prerequisites
Students taking this module must have achieved a pass mark in each of the modules MA11001 and MA12001, and have taken MA21001, or equivalents.
Indicative Content
Calculus Component

Multivariable Calculus
Limits and continuity of functions of two variables. Partial Derivatives. Method of Lagrange Multipliers. Taylor series in two variables. Stationary points for functions of two variables. Double integrals, Jacobian of a change of variables.

Series
Tests for convergence of series of numbers. Convergence of power series, radius of convergence. Application to Taylor and Maclaurin series (mention of Taylor's Theorem).
Algebra Component

General vector spaces and subspaces
P_{n}, C^{n} and other vector spaces. Span, linear dependence/independence, bases. Reduction to rowecehelon form, relation to linear independence Intersections, unions and direct sums of subspaces. Range and nullspace of a matrix.

Inner products
Definition of inner products and inner product spaces. GramSchmidt orthogonalisation.

Eigenvalues and eigenvectors
Definitions and examples. Complex and repeated eigenvalues, algebraic and geometric multiplicity. Diagonalization of matrices. The CayleyHamilton theorem.

Linear mappings
Definitions and matrix representations. Composition of linear mappings. Kernel and image.
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (60%) and coursework (40%).
Credit Rating
This module is a Scottish Higher Education Level 2 or SCQF level 8 module and is rated as 20 SCOTCAT credits or 10 ECTS credits.
Level 3
 Quantum Mechanics I
 Stars and Planetary Systems
 Quantum Mechanics II: Atoms & Molecules
 Thermal Physics I
 Computational Astrophysics
About the module
This module provides an indepth study of Differential Equations aimed at Level 3 students. This module is mandatory for all Level 3 students on Mathematics (including Mathematics combined) degrees. If you have questions about this module please contact your Advisor of Studies.
Prerequisites
Students taking this module must have achieved a pass mark in each of the modules MA21001 and MA22001, or equivalents.
Indicative Content

First Order Differential Equations
Separable equations, Linear equations with constant coefficients, Linear equations with variable coefficients, integrating factors, Homogeneous equations, Exact equations and integrating factors.

Second Order Differential Equations
Homogeneous equations with constant coefficients, Fundamental solutions of linear homogeneous equations, Linear independence and the Wronskian (including Abel′s formula), Reduction of order and reduction to the normal form, Nonhomogeneous equations, Method of undetermined coefficients, Initial conditions.

Systems of First Order Linear Equations
Transformation of an nth order equation to a system of n first order equations, Homogeneous linear systems with constant coefficients, Fundamental sets of solutions and fundamental matrices, the Wronskian and Abel′s formula, The exponential of a matrix, Nonhomogeneous linear systems, Variation of parameters, Homogeneous linear systems of two first order equations with constant coefficients, Stability and the phase plane.

Partial Differential Equations and Fourier Series
Fourier series of functions of one variable, Dirichlet′s Conditions, Technique for determining Fourier coefficients (even/odd functions). Gibbs′ phenomena. Introduction to Partial Differential Equations, Technique of separation of variables with application to initial and boundary value problems.
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (80%) and coursework (20%).
Credit Rating
This module is a Scottish Higher Education Level 3 or SCQF level 9 module and is rated as 15 SCOTCAT credits or 7.5 ECTS credits.
About the module
The aim of this module is to provide the Level 3 student with a variety of basic mathematical techniques with which to analyse a wide class of mathematical models arising in science and engineering. This module is mandatory for all Level 3 students on Mathematics (including Mathematics combined) degrees. If you have questions about this module please contact your Advisor of Studies.
Prerequisites
Students taking this module must have achieved a pass mark in each of the modules MA21001 and MA22001, or equivalents.
Indicative Content

Revision of vector products and scalar functions of three variables.

Orthogonal coordinates.

Curves in space, parameterization and arc length

Surfaces in space, parameterization, normal vectors and tangent planes.

The operators grad, div, curl.

Line integrals, surface integrals, and volume integrals.

Divergence Theorem and Stokes Theorem.

Scalar and vector potentials.
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (80%) and coursework (20%).
Credit Rating
This module is a Scottish Higher Education Level 3 or SCQF level 9 module and is rated as 15 SCOTCAT credits or 7.5 ECTS credits.
About the module
This module provides an introduction to the Mathematics of Fluids and Plasmas, focusing on Fluid Dynamics. This module is mandatory for students taking the BSc or MMath in Mathematics or the BSc or MSci in Mathematics and Physics, and is optional for students taking any other Mathematics combined degrees. If you have questions about this module or the possible combinations, please contact your Advisor of Studies.
Prerequisites
Students taking this module must have achieved a pass mark in each of the modules MA31002 and either MA31007 or MA32002, or equivalents.
Indicative Content

Fundamentals
Fields, flux, potentials. Representation of fields: fieldlines/streamlines, contours, flux surfaces. Gauss' and Stokes' theorems.

Conservation laws
Conservation of mass, conservation of momentum, Euler's Eq., energy equation, equation of state.

Common approximations
Incompressible, irrotational, potential flows, Bernoulli’s the orem. Laplace’s equation, boundary conditions, uniqueness theorem, separable solutions.

Vorticity
Vorticity and circulation, Kelvin's circulation theorem, vorticity evolution.

The solar wind
Introduction to solar features, Parker's solar wind solution.

Waves
Sound waves, linearisation, dispersion relations, wave properties.

Viscous flow
Stress tensor, viscous stresses, viscosity, energy dissipation, the Reynolds number.

Turbulence and Chaos
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (80%) and coursework (20%).
Credit Rating
This module is a Scottish Higher Education Level 4 or SCQF level 10 module and is rated as 15 SCOTCAT credits or 7.5 ECTS credits.
Level 4
 Astrophysics Project
 Electrodynamics I
 Galaxies and The Universe
 Classical Mechanics & Relativity
About the module
Ordinary Differential Equations (ODEs) are an important modelling tool in Science and Engineering. These can rarely be solved exactly and so techniques have been developed to derive approximate solutions that may, in principle, be made as accurate as desired. This module, aimed at Level 4 students, will investigate these techniques. This module is mandatory for Level 4 students taking a BSc or MSci in Mathematical Biology, or an MSci in Mathematics and Physics. This module may be taken in combination with other Level 3 or 4 modules by other Level 4 students. If you have questions about this module or the possible combinations, please contact your Advisor of Studies.
Prerequisites
Students taking this module must have achieved a pass mark in each of the modules MA31002 and either MA31007 or MA32002, or equivalents.
Indicative Content

Numerical methods for initial value problems for ODEs
Taylor Series Methods; Linear multistep methods: onestep methods (Euler, Trapezoidal and Backward Euler methods) and twostep methods; Consistency, zerostability, weak stability theory and Astability; Provision of the extra starting values and the potential for instability; RungeKutta methods: construction and weak stability theory; Application to systems.

Boundary value problems for ODEs
BVPs for second order ODEs; eigenvalues and eigenfunctions; orthogonality; Green′s functions and maximum principles; Finite difference methods: 2nd order methods; Treatment of boundary conditions; Discrete maximum principles; Convergence.
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (80%) and coursework (20%).
Credit Rating
This module is a Scottish Higher Education Level 4 or SCQF level 10 module and is rated as 15 SCOTCAT credits or 7.5 ECTS credits.
About the module
This module gives a broad introduction to PDEs that includes classification into different types, classical solution methods, qualitative properties and, for the majority of problems that cannot be solved exactly, provides techniques for constructing approximate solutions. This module is mandatory for Level 4 students taking the BSc or MSci in Mathematical Biology, and may optionally be taken in combination with other modules by students taking the BSc or MMath in Mathematics or any of the other Mathematics combined degrees. If you have questions about this module or the possible combinations, please contact your Advisor of Studies.
Prerequisites
Students taking this module must have taken the module MA41003, or equivalent.
Indicative Content

First and Second Order PDEs
Basic Theory; examples of fundamental solutions Second order linear PDEs; classi fication, characteristics; dAlemberts solution of the onedimensional wave equation.

Boundary Value Problems for PDEs
Finitedifference methods for second order problems (Poisson's equation): the treatment of boundary conditions and curved boundaries in two dimensions.

Initial Value Problems for PDEs
Parabolic and Hyperbolic equations: Fundamental solutions. General discussion of basic qualitative properties such as dissipation (energy inequalities) and characteristics. Construction of numerical methods: twolevel methods and brief reference to threelevel methods (if time permits). Local truncation errors. Stability and choice of norm: Maximum norm, L2 norm via von Neumann's method. Application to hyperbolic systems. The Method of Lines.
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (80%) and coursework (20%).
Credit Rating
This module is a Scottish Higher Education Level 4 or SCQF level 10 module and is rated as 15 SCOTCAT credits or 7.5 ECTS credits.
About the module
This module builds on the foundations established in Mathematics of Fluids and Plasmas I (MA41006). This module may optionally be taken by students on any Mathematics or Mathematics combined degree other than those taking the BSc or MSci in Mathematical Biology. If you have questions about this module or the possible combinations, please contact your Advisor of Studies.
Prerequisites
Students taking this module must have achieved a pass mark in each of the modules MA31002 and MA32002, or equivalents, and must have taken MA41006.
Indicative Content

Electromagnetism
Maxwell's equations. Electrostatics. Magnetostatic fields, magnetic effect of currents. Electrodynamics. Waves.

Introduction to properties of plasmas, especially on the Sun

Equations of Magnetohydrodynamics (MHD)
Lorentz force, MHD equations, importance of terms. Diffusion and frozenin flux. Magnetic field lines and flux tubes.

MHD solutions
Hydrostatic pressure balance, plasma beta. Potential fields. Forcefree fields, coronal arcades. GradShafranov equation.

Waves
Linearised MHD equations. Sound waves, Alfven waves, magnetoacoustic waves.

Solar applications
Magnetic reconnection. Magnetic helicity. Dynamo theory. Solar flares, CMEs.
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (80%) and coursework (20%).
Credit Rating
This module is a Scottish Higher Education Level 4 or SCQF level 10 module and is rated as 15 SCOTCAT credits or 7.5 ECTS credits.
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 that includes mathematics is a highly marketable asset. Furthermore, astrophysics graduates have a broad knowledge and expertise base in theoretical and applied science, and are adept at solving both abstract and concrete problems
Graduates in these areas are consistently amongst those attracting the highest graduate salaries and can choose from an everwidening range of careers in science, research, industry, engineering, commerce, finance and education.
Even if you do not take the subjects any further than university, employers know that mathematical and physical sciences graduates are intelligent, logical problem solvers. With this training behind you, the career options become almost limitless.
Many of our graduates go on to pursue higher degrees, both taught postgraduate and PhD. Mathematical and physical sciences graduates are among those earning the highest starting salaries in the UK, according to recent figures.
Fees & Funding
The fees you pay will depend on your fee status. Your fee status is determined by us using the information you provide on your application.
Find out more about fee status
Fees for students starting 201920
Fee category  Fees for students starting 201920 

Scottish and EU students  £1,820 per year of study 
Rest of UK students  £9,250 per year, for a maximum of 3 years, even if you are studying a four year degree. See our scholarships for rest of UK applicants. 
Overseas students (nonEU)  £20,950 per year of study 
Scottish and EU students can apply to the Students Award Agency for Scotland (SAAS) to have tuition fees paid by the Scottish Government.
Rest of the UK students can apply for financial assistance, including a loan to cover the full cost of the tuition fees, from the Student Loans Company.
Tuition fees for Overseas (nonEU) students are guaranteed not to increase by more than 3% per year, for the length of your course.
Additional costs
You may incur additional costs in the course of your education at the University over and above tuition fees in an academic year.
Examples of additional costs:
One off cost  Ongoing cost  Incidental cost 

Graduation fee  Studio fee  Field trips 
*these are examples only and are not exhaustive.
Additional costs:
 may be mandatory or optional expenses
 may be one off, ongoing or incidental charges and certain costs may be payable annually for each year of your programme of study
 vary depending on your programme of study
 are payable by you and are nonrefundable and nontransferable
Unfortunately, failure to pay additional costs may result in limitations on your student experience.
For additional costs specific to your course please speak to our Enquiry Team.
Your Application
Unistats data set  formerly the Key Information Set (KIS)
Degree  UCAS Code  

Apply Now  Mathematics and Astrophysics BSc (Hons)  G1F5 