• For Entry: September
  • Duration: 4 years
  • Award: BSc (Hons)
  • Study Abroad: Yes
  • Study Mode: Full Time

A lively, modern programme combining applications of mathematics with topics covering the full scale and majesty of the physical universe.

TEF Gold - Teaching Excellence Framework

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 data-driven 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 Physics-linked locations including the European Space Agency (2014), CERN (2015) & The Niels Bohr Institute (2016).

 

The Mills Observatory

Dundee also boasts the Mills observatory and planetarium, offering ready access to a range of telescopes. 

YouTube Poster Image (Cached)
YouTube Poster Image (Cached)

The following are the minimum, up-to-date 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 A-Level BCC (minimum) - BBB (typical) including A-Level mathematics and physics BBB (minimum) - AAB (typical) including A-Level 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 ASL-A Levels at AB in Mathematics and a Science/Engineering subject Grade B with ASL-A 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 Pre-Sessional 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.

 Discover our English Language Programmes

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).

Read more about the Teaching Excellence Framework

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
  • peer-to-peer 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 staff-student 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 non-mathematics 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 A-Level, 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 non-mathematics 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 non-mathematics 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, Rn. Vectors, lines and planes in Rn. Span, linear independence. Basis and dimension. Subspaces.

  • Inner product

    Scalar product, length. Projection. Normal form of hyperplanes in Rn. 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, non-linear oscillator. Conservation laws for a system of interacting bodies. Orbits in a gravitational field. Non-autonomous systems.

Delivery and Assessment

The module is delivered in the form of lectures and computer lab workshops. Assessment is entirely computer-based 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 non-mathematics 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

    PnCn and other vector spaces. Span, linear dependence/independence, bases. Reduction to row-ecehelon 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. Gram-Schmidt orthogonalisation.

  • Eigenvalues and eigenvectors

    Definitions and examples. Complex and repeated eigenvalues, algebraic and geometric multiplicity. Diagonalization of matrices. The Cayley-Hamilton 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 in-depth 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 multi-step methods: one-step methods (Euler, Trapezoidal and Backward Euler methods) and two-step methods; Consistency, zero-stability, weak stability theory and A-stability; Provision of the extra starting values and the potential for instability; Runge-Kutta 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 one-dimensional wave equation.

  • Boundary Value Problems for PDEs

    Finite-difference 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: two-level methods and brief reference to three-level 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 frozen-in flux. Magnetic field lines and flux tubes.

  • MHD solutions

    Hydrostatic pressure balance, plasma beta. Potential fields. Force-free fields, coronal arcades. Grad-Shafranov 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.

 

Our facilities

Our undergraduate laboratories and IT facilities have been substantially refurbished and upgraded, allowing for the development of strong industrially-relevant and practical skill sets.

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 ever-widening 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.

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 2019-20

Fee categoryFees for students starting 2019-20
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 (non-EU) £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 (non-EU) 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 costOngoing costIncidental cost
Graduation feeStudio feeField 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 non-refundable and non-transferable

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.


Unistats data set (formerly the Key Information Set (KIS) Unistats data set - formerly the Key Information Set (KIS)

  Degree UCAS Code
Apply NowMathematics and Astrophysics BSc (Hons)G1F5