Mathematics is the universal language of science and a beautiful subject in its own right. It is a discipline that also has important applications in industry and commerce, and well-qualified mathematicians are in great demand, with a wide choice of careers. For mathematicians with an interest and background in Spanish this degree is ideal. It is a four-year degree programme with a year spent abroad typically studying mathematics through the medium of the chosen language.
In 2020, more than 90% of 1st and 2nd year Maths students expressed overall satisfaction with their course
Mathematics with Spanish highlights
Global Opportunities
Students undertaking the Mathematics with Spanish degree will spend a year studying mathematics in a university on mainland Europe. Support for this international placement can be sought during the degree through an application to the Turing programme.
Industry Links
We have key links with local companies who hire mathematics graduates. Several local financial services companies (including Clarus FT, EFFEX Capital and AquaQ Analytics) were founded by our former maths graduates.
World Class Facilities
The school has its own dedicated teaching centre which opened in September 2016. This building houses lecture and group-study rooms, a hugely popular student social area and state-of-the-art computer and laboratory facilities. The centre is an exciting hub for our students and is situated directly adjacent to the Lanyon Building on the main university campus. This makes us the only school with a dedicated teaching space right at the heart of the university.
Internationally Renowned Experts
The School of Mathematics and Physics is a large school with staff from 13 countries, including UK, US, Ireland, Italy, Spain, Bulgaria, Russia, Argentina, Cuba, Germany, China, Greece, Kenya, Niger, The Netherlands and Romania. Many of our staff are leading international experts in their fields of mathematical research. In the 2021 REF peer-review exercise, Mathematics Research had the 11th highest impact in the UK.
Thus the ethos of the School is one of excellence in research informing excellence in teaching.
Student Experience
Many students find the transition from school to university somewhat daunting. In order to help with this transition, mathematics students have pioneered a Peer Mentoring scheme that is generally regarded as one of the most effective in the University. As well as providing a forum for first year students to obtain support, it also provides mentors with transferable skills which will increase graduate employment opportunities.
School has the 3rd highest postgraduate research student satisfaction in the university.
Career Development
87% of Maths students are in graduate employment or further study 15 months after graduation (11th in the UK)
Student Testimonials
When I left school I had no idea what I wanted to do with my life. As a consequence I decided to study the subject I loved the most – maths! The maths degree at Queen’s was a fantastic experience. I thoroughly enjoyed my three years there. The tutors were helpful and the other students were fun and friendly. There was a broad range of modules, making the course very flexible. I began first year taking a mixture of Pure and Applied Maths, alongside some French, and by my third year I had specialised in mostly Applied Maths.
Emma Roberts (Maths Teacher)
After graduating I joined Allstate (in Chicago and Belfast) to work as a Predictive Modeller. Two years ago I moved to my current position. Unlike some careers, I am given the opportunity to put into practice what I have learned at university daily, whether that is computer programming, critical thinking, problem solving or presenting. Many of the courses I studied at Queen’s are fundamental for my day to day work: my notes from these courses still sit on my desk!
Padraic Sheerin - Vice President, Data Science at Pramerica (Prudential Financial), Ireland
Students will study a combination of Mathematics and Spanish. The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.
Stage 1
At Stage 1, students must take four compulsory modules plus Spanish 1.
Stage 2
At Stage 2, students must take two compulsory Maths modules plus two optional maths module as approved by an advisor of studies plus Spanish 2.
Stage 3
Students will take an approved Turing programme of study at a Spanish speaking university or alternatively, an approved placement in a Spanish speaking country.
Stage 4
At Stage 4, students must take maths modules totalling 80 units as approved by an advisor of studies plus Spanish 3.
School of Maths & Physics Dr Huettemann is a Senior Lecturer in Mathematics with research interests in homological algebra, graded algebra and K-theory.
Contact Teaching Hours
Personal Study
21 (hours maximum) 21 hours studying and revising in your own time each week, including some guided study using handouts, online activities, etc.
Large Group Teaching
10 (hours maximum) 10 hours of lectures.
Medium Group Teaching
4 (hours maximum) 4 hours of practical classes, workshops or seminars each week.
Small Group Teaching/Personal Tutorial
1 (hours maximum) 1 hour of tutorials (or later, project supervision) each week.
Learning and Teaching
At Queen’s, we aim to deliver a high quality learning environment that embeds intellectual curiosity, innovation and best practice in learning, teaching and student support to enable students to achieve their full academic potential.
On the BSc in Mathematics we do this by providing a range of learning experiences which enable our students to engage with subject experts, develop attributes and perspectives that will equip them for life and work in a global society and make use of innovative technologies and a world class library that enhances their development as independent, lifelong learners. Examples of the opportunities provided for learning on this course are:
Fieldword and practical training
The year spent abroad, studying at a Spanish speaking university, provides a rich cultural and educational experience which enhances graduate prospects of working o studying in Europe and further afield.
Lectures
These introduce basic information about new topics as a starting point for further self-directed private study/reading. Lectures also provide opportunities to ask questions, gain some feedback and advice on assessments (normally delivered in large groups to all year group peers).
Personal Tutor
Undergraduates are allocated a Personal Tutor during Level 1 and Level 2 who meets with them on several occasions during the year to support their academic development.
Self-directed study
This is an essential part of life as a Queen’s student when important private reading, engagement with e-learning resources, reflection on feedback to date and assignment research and preparation work is carried out.
Tutorials
Significant amounts of teaching are carried out in small groups (typically 10-20 students). These provide an opportunity for students to engage with academic staff who have specialist knowledge of the topic, to ask questions of them and to assess their own progress and understanding with the support of peers.
Assessment
The way in which students are assessed will vary according to the learning objectives of each module. Details of how each module is assessed are shown in the Student Handbook which is available online via the school website.
Most modules are assessed through a combination of coursework and end of year examinations.
Some modules (eg, final year Honours Project module) are assessed solely through project work or written assignments.
Computer Based Assessment
Some modules use online quizzes/tests as part of the module assessment. This tests basic knowledge, understanding and problem solving.
Feedback
As students progress through their course at Queen’s they will receive general and specific feedback about their work from a variety of sources including lecturers, module co-ordinators, placement supervisors, personal tutors, advisers of study and your peers. University students are expected to engage with reflective practice and to use this approach to improve the quality of their work. Feedback may be provided in a variety of forms including:
Feedback provided via formal written comments and marks relating to work that you, as an individual or as part of a group, have submitted.
Face to face comment. This may include occasions when students make use of the lecturers’ advertised “office hours” to help address a specific query.
Online or emailed comment.
Placement employer comments or references.
General comments, or question and answer opportunities at the end of a lecture, seminar or tutorial.
Pre-submission advice regarding the standards you should aim for and common pitfalls to avoid. In some instances, this may be provided in the form of model answers or exemplars which you can review in your own time.
Feedback and outcomes practical classes.
Comment and guidance provided by staff from specialist support services including Careers, Employability and Skills or the Learning Development Service.
Once students have reviewed their feedback, they are encouraged to identify and implement further improvements to the quality of their work.
What our academics say
This joint mathematics with Spanish degree is extremely flexible and transferable, relevant to most career pathways. It is particularly suited to those students who maintain a love of languages alongside their mathematics. Students spend one year (their 3rd) studying mathematics in a Spanish speaking country. The knowledge, practical skills and cultural experiences gained allow the student to pursue a career in many areas such as accountancy, actuarial science, finance and banking, software development, industrial research and teaching, at home or abroad. The core skills of problem solving, lateral thinking, computer programming, presenting and report-writing are highly sought after by a host of employers, and these skills are integrated into our mathematics programs at all levels. Students particularly enjoy the variety of learning this joint program offers. The year out gives them the opportunity to practice their language skills in a community environment while continuing their problem solving skills through mathematics courses.
Dr Catherine Ramsbottom – Reader, School of Mathematics & Physics
The information below is intended as an example only, featuring module details for the current year of study (2024/25). Modules are reviewed on an annual basis and may be subject to future changes – revised details will be published through Programme Specifications ahead of each academic year.
Course contents:
This module aims to consolidate and expand on existing Spanish language competency by developing written and oral language skills, knowledge of Spanish and Latin American culture, and grammatical proficiency, to equip students with professional and employability skills in preparation for further study of Spanish. It consists of four elements designed to provide a comprehensive consolidation of Spanish language competence:
1. Language Seminar (1hr per week)
Seminar aims to develop students’ ability to understand, translate, and compose Spanish-language materials in a range of forms: text, image, audio-visual. Language will be engaged in context, guided by themes such as University Life, Culture & Identity, and Culture & Communication. Linguistic competence will be developed through a range of methods that may include: group discussion, translation, responsive and report writing.
2. Grammar Workshop (1hr per week)
Workshop designed to consolidate and enrich students’ knowledge and understanding of Spanish grammar and syntax. All major areas of grammar will be encountered, laying the foundations for future study of the language and its nuances.
3. Specialised Language Cursillo (1hr per week)
Cursillo offers language skills for special purposes providing career development, linguistic and socio-cultural knowledge important to work-related situations in different fields.
4. Conversation Class (1hr per week)
Conversation class is led by a native speaker of Spanish and compliments the content of the Language Hour. Students will meet in small groups to discuss, debate, and present on the main themes of the course.
Learning Outcomes
On successful completion of the modules students should:
1. be able to read Spanish texts in a variety of forms and demonstrate a sensitivity to their detail and nuance in speech, writing, and when translating;
2. be able to produce Spanish texts appropriate to different requirements and registers;
3. be able to investigate, structure, and present a complex argument in longer pieces of written work;
4. be able to communicate using more sophisticated grammatical and syntactical constructions with a good level of accuracy (without basic errors).
Skills
On successful completion of the modules students should have developed the following range of skills: comprehensive dexterity using Spanish grammar; translation skills; text analysis; essay writing; lexicographical skills; report writing skills; IT skills; presentation skills; spoken language skills.
Elementary logic and set theory, number systems (including integers, rationals, reals and complex numbers), bounds, supremums and infimums, basic combinatorics, functions.
Sequences of real numbers, the notion of convergence of a sequence, completeness, the Bolzano-Weierstrass theorem, limits of series of non-negative reals and convergence tests.
Analytical definition of continuity, limits of functions and derivatives in terms of a limit of a function. Properties of continuous and differentiable functions. L'Hopital's rule, Rolle's theorem, mean-value theorem.
Matrices and systems of simultaneous linear equations, vector spaces, linear dependence, basis, dimension.
Learning Outcomes
It is intended that students shall, on successful completion of the module, be able:
• to understand and to apply the basic of mathematical language;
• use the language of sets and maps and understand the basic properties of sets (finiteness) and maps (injectivity, surjectivity, bijectivity);
• demonstrate knowledge of fundamental arithmetical and algebraic properties of the integers (divisibility, prime numbers, gcd, lcm) and of the rationals;
• Solve combinatorial counting problems in a systematic manner.
• Understand the fundamental properties of the real numbers (existence of irrational numbers, density of Q, decimal expansion, completeness of R).
• Understand the notions of a sequence of real numbers, including limits, convergence and divergence.
• Define convergence of infinite series.
• Investigate the convergence of infinite series using convergence tests.
• Define limits of functions and define continuous functions.
• Prove that a function is continuous or discontinuous.
• Prove and apply basic properties of continuous functions including the intermediate value theorem and the existence of a maximum and a minimum on a compact interval.
• Define a differentiable function and a derivative.
• Prove whether a function is differentiable.
• Calculate (using analysis techniques) derivatives of many types of functions.
• Understand, apply and prove Rolle's theorem and the Mean Value Theorem.
• Prove the rules of differentiation such as the product.
• Understand and apply the theory of systems of linear equations.
• Produce and understand the definitions of vector space, subspace, linear independence of vectors, bases of vector spaces, the dimension of a vector space.
• Apply facts about these notions in particular examples and problems.
• Understand the relation between systems of linear equations and matrices.
Skills
• Understanding of part of the main body of knowledge for mathematics: analysis and linear algebra.
• Logical reasoning.
• Understanding logical arguments: identifying the assumptions made and the conclusions drawn.
• Applying fundamental rules and abstract mathematical results, equation solving and calculations; problem solving.
Review of A-level calculus: elementary functions and their graphs, domains and ranges, trigonometric functions, derivatives and differentials, integration. Maclaurin expansion. Complex numbers and Euler’s formula.
Differential equations (DE); first-order DE: variable separable, linear; second-order linear DE with constant coefficients: homogeneous and inhomogeneous.
Vectors in 3D, definitions and notation, operations on vectors, scalar and vector products, triple products, 2x2 and 3x3 determinants, applications to geometry, equations of a plane and straight line. Rotations and linear transformations in 2D, 2x2 and 3x3 matrices, eigenvectors and eigenvalues.
Curves in 3D (length, curvature, torsion). Functions of several variables, derivatives in 2D and 3D, Taylor expansion, total differential, gradient (nabla operator), stationary points for a function of two variables. Vector functions; div, grad and curl operators and vector operator identities. Line integrals, double integrals, Green's theorem. Surfaces (parametric form, 2nd-degree surfaces). Curvilinear coordinates, spherical and cylindrical coordinates, orthogonal curvilinear coordinates, Lame coefficients. Volume and surface integrals, Gauss's theorem, Stokes's theorem. Operators div, grad, curl and Laplacian in orthogonal curvilinear coordinates.
Learning Outcomes
On completion of the module, the students are expected to be able to:
• Sketch graphs of standard and other simple functions;
• Use of the unit circle to define trigonometric functions and derive their properties;
• Integrate and differentiate standard and other simple functions;
• Expand simple functions in Maclaurin series and use them;
• Perform basic operations with complex numbers, derive and use Euler's formula;
• Solve first-order linear and variable separable differential equations;
• Solve second-order linear differential equations with constant coefficients (both homogeneous and inhomogeneous), identify complementary functions and particular integrals, and find solutions satisfying given initial conditions;
• Perform operations on vectors in 3D, including vector products, and apply vectors to solve a range of geometrical problems; derive and use equations of straight lines and planes in 3D;
• Calculate 2x2 and 3x3 determinants;
• Use matrices to describe linear transformations in 2D, including rotations, and find eigenvalues and eigenvectors for 2x2 matrices.
• Define basis quantities in mechanics, such as velocity, acceleration and momentum, and state Newton’s laws;
• Use calculus for solving a range of problems in kinematics and dynamics, including projectile motion, oscillations and planetary motion;
• Define and recognise the equations of conics, in Cartesian and polar coordinates;
• Investigate curves in 3D, find their length, curvature and tension;
• Find partial derivatives for a function of several variables;
• Expand functions of one and two variables in the Taylor series and investigate their stationary points;
• Find the partial differential operators div, grad and curl for scalar and vector fields;
• Calculate line integrals along curves;
• Calculate double and triple integrals, including surface and volume integrals;
• Transform between Cartesian, spherical and cylindrical coordinate systems;
• Investigate simple surfaces in 3D and evaluate surface for the shapes such as the cube, sphere, hemisphere or cylinder;
• State and apply Green's theorem, Gauss's divergence theorem, and Stokes's theorem
Skills
• Proficiency in calculus and its application to a range of problems.
• Constructing and clearly presenting mathematical and logical arguments.
• Mathematical modelling and problem solving.
• Ability to manipulate precise and intricate ideas.
• Analytical thinking and logical reasoning.
Basic programming skills (e.g. in Python); introduction of software to present mathematical contents (e.g. LaTex) and to solve mathematical problems (e.g. Mathematica, R or packages like numpy and matplotlib); basic understanding of the complexity of algorithms (Big Oh notation).
Learning Outcomes
By the end of this module students should be able to
1. Use python and/or Mathematica and/or R to
1. solve simple mathematical problems
2. visualise results with suitable plots
2. Construct, implement and follow simple algorithms and analyse their worst case complexity
3. Use Latex to present and disseminate mathematical results
Skills
Basic computer programming; basic analysis of algorithms; basic skills in the presentation of mathematical results.
The notion of mathematical statements and elementary logic. Mathematical symbols and notation. The language of sets. The concept of mathematical proof, and typical examples. Communicating mathematics to others.
Learning Outcomes
By the end of the module, students are expected to be able to: state key mathematical statements and definitions and be familiar with standard mathematical notation and its meaning; describe the role played by mathematical proof and reproduce the proofs of key mathematical statements using the methods of induction, proof by contradiction and direct proof; identify patterns within proofs that can be used in other contexts and use them successfully in the construction of new proofs; use natural language to communicate key mathematical concepts to fellow students in a rigorous way.
Skills
The key skills that will be developed through the module are: problem solving skills, presentation skills and logical thinking skills.
The final module mark is determined by various components: tutorial participation, homework assignments, oral presentations, and a report. As a guideline, one can expect four pieces of written homework, and two oral presentations (the first being a practice run carrying few marks). Details of the assessment scheme will be made available at the start of the semester.
Functions of a complex variable: limit in the complex plane, continuity, complex differentiability, analytic functions, Cauchy-Riemann equations, Cauchy’s theorem, Cauchy’s integral formula, Taylor and Laurent series, residues, Cauchy residue theorem, evaluation of integrals using the residue theorem.
Series solutions to differential equations: Frobenius method.
Fourier series and Fourier transform. Basis set expansion.
Introduction to partial differential equations. Separation of variables. Wave equation, diffusion equation and Laplace’s equation.
Learning Outcomes
On completion of the module, the students are expected to be able to:
• determine whether or not a given complex function is analytic;
• recognise and apply key theorems in complex integration;
• use contour integration to evaluate real integrals;
• apply Fourier series and transforms to model examples;
• solve the wave equation, diffusion equation and Laplace’s equation with model boundary conditions, and interpret the solutions in physical terms.
Skills
• Proficiency in complex calculus and its application to a range of problems.
• Constructing and presenting mathematical and logical arguments.
• Mathematical modelling and problem solving.
• Ability to manipulate precise and intricate ideas.
• Analytical thinking and logical reasoning.
Building on skills acquired at Level 1, this module aims to develop more advanced language skills in spoken and written language. Students will be required to take on increasingly complex tasks which require them to be aware of and use different written and spoken styles and registers. Task will promote linguistic, sociolinguistic and cultural awareness at a more advanced level. The module will contain the following elements:
1. Text-based class – (1 hour a week).
This class will focus on developing skills in reading, writing, literary and non literary translation. Students will be required to read and respond to texts which deal with current issues in Spanish speaking countries in Europe and Latin America.
2. Translation into English Workshop ( 1 hr per week)
Students will develop their ability to respond to a range of source text types of an appropriate level of difficulty, grouped according to the course themes. They will also develop editing skills and improve their expression in English. Study of Spanish grammar in context will be embedded into the class.
3. Oral class ( 1 hr per week)
This class will encourage students to develop their skills in spoken language with an emphasis on being able to communicate information and a point of view and on eliminating basic errors from spoken language as well as developing fluency in spoken Spanish
4. Cursillo ( 1 hr per week)
This class will focus on preparing students for the year abroad and on highlighting and developing the professional skills which students develop as a result of studying Spanish at degree level
There will be an extra hour of language tuition for ex-beginners
Learning Outcomes
On successful completion of the modules students should:
1. be able to demonstrate a level of fluency, accuracy and spontaneity in speech and writing, and a wide range of vocabulary and expression, so as to be able to discuss a range of complex issues.
2. be able to read a wide variety of Spanish texts (fiction and non fiction) and identify important information and ideas within them.
3. be able to demonstrate a good grasp of structures of the language covered in the module and identify and use appropriate reference works including dictionaries and grammars.
4. be able to organise and present a coherent argument in Spanish relating to topics covered in the course, and present their knowledge and ideas in a range of formats and registers
Skills
On successful completion of the modules students should have developed the following range of skills: Translation skills; text analysis; essay writing; lexicographical skills; report writing skills; IT skills; presentation skills; spoken language skills - including practical language knowledge for living and working abroad
- Recap and extend to fields such as C, the notions of abstract vector spaces and subspaces, linear independence, basis, dimension.
- Linear transformations, image, kernel and dimension formula.
- Matrix representation of linear maps, eigenvalues and eigenvectors of matrices.
- Matrix inversion, definition and computation of determinants, relation to area/volume.
- Change of basis, diagonalization, similarity transformations.
- Inner product spaces, orthogonality, Cauchy-Schwarz inequality.
- Special matrices (symmetric, hermitian, orthogonal, unitary, normal) and their properties.
- Basic computer application of linear algebra techniques.
Additional topics and applications, such as: Schur decomposition, orthogonal direct sums and geometry of orthogonal complements, Gram-Schmidt orthogonalization, adjoint maps, Jordan normal form.
Learning Outcomes
It is intended that students shall, on successful completion of the module: have a good understanding and ability to use the basics of linear algebra; be able to perform computations pertaining to problems in these areas; have reached a good level of skill in manipulating basic and complex questions within this framework, and be able to reproduce, evaluate and extend logical arguments; be able to select suitable tools to solve a problem, and to communicate the mathematical reasoning accurately and confidently.
Skills
Analytic argument skills, computation, manipulation, problem solving, understanding of logical arguments.
Cauchy sequences, especially their characterisation of convergence. Infinite series: further convergence tests (limit comparison, integral test), absolute convergence and conditional convergence, the effects of bracketing and rearrangement, the Cauchy product, key facts about power series (longer proofs omitted). Uniform continuity: the two-sequence lemma, preservation of Cauchyness (and the partial converse on bounded domains), equivalence with continuity on closed bounded domains, a gluing lemma, the bounded derivative test. Mean value theorems including that of Cauchy, proof of l'Hôpital's rule, Taylor's theorem with remainder. Riemann integration: definition and study of the main properties, including the fundamental theorem of calculus.
Learning Outcomes
It is intended that students shall, on successful completion of the module, be able to: understand and apply the Cauchy property together with standard Level 1 techniques and examples in relation to limiting behaviour for a variety of sequences; understand the relationships between sequences and series, especially those involving the Cauchy property, and of standard properties concerning absolute and conditional convergence, including power series and Taylor series; demonstrate understanding of the concept of uniform continuity of a real function on an interval, its determination by a range of techniques, and its consequences; understand through the idea of differentiability how to develop and apply the basic mean value theorems; describe the process of Riemann integration and the reasoning underlying its basic theorems including the fundamental theorem of calculus, and relate the concept to monotonicity and continuity.
Skills
Knowledge of core concepts and techniques within the material of the module. A good degree of manipulative skill, especially in the use of mathematical language and notation. Problem solving in clearly defined questions, including the exercise of judgment in selecting tools and techniques. Analytic and logical approach to problems. Clarity and precision in developing logical arguments. Clarity and precision in communicating both arguments and conclusions. Use of resources, including time management and IT where appropriate.
Introduction to calculus of variations.
Recap of Newtonian mechanics.
Generalised coordinates. Lagrangian. Least action principle. Conservation laws (energy, momentum, angular momentum), symmetries and Noether’s theorem. Examples of integrable systems. D’Alembert’s principle. Motion in a central field. Scattering. Small oscillations and normal modes. Rigid body motion.
Legendre transformation. Canonical momentum. Hamiltonian. Hamilton’s equations. Liouville’s theorem. Canonical transformations. Poisson brackets.
Learning Outcomes
On completion of the module, the students are expected to be able to:
• Derive the Lagrangian and Hamiltonian formalisms;
• Demonstrate the link between symmetries of space and time and conservation laws;
• Construct Lagrangians and Hamiltonians for specific systems, and derive and solve the corresponding equations of motion;
• Analyse the motion of specific systems;
• Identify symmetries in a given system and find the corresponding constants of the motion;
• Apply canonical transformations and manipulate Poisson brackets.
Skills
• Proficiency in classical mechanics, including its modelling and problem-solving aspects.
• Assimilating abstract ideas.
• Using abstract ideas to formulate and solve specific problems.
- definition and examples of groups and their properties
- countability of a group and index
- Lagrange’s theorem
- normal subgroups and quotient groups
- group homomorphisms and isomorphism theorems
- structure of finite abelian groups
- Cayley’s theorem
- Sylow’s theorem
- composition series and solvable groups
Learning Outcomes
It is intended that students shall, on successful completion of the module, be able to: understand the ideas of binary operation, associativity, commutativity, identity and inverse; reproduce the axioms for a group and basic results derived from these; understand the groups arising from various operations including modular addition or multiplication of integers, matrix multiplication, function composition and symmetries of geometric objects; understand the concept of isomorphic groups and establish isomorphism, or otherwise, of specific groups; understand the concepts of conjugacy and commutators; understand the subgroup criteria and determine whether they are satisfied in specific cases; understand the concepts of cosets and index; prove Lagrange's theorem and related results; understand the concepts and basic properties of normal subgroups, internal products, direct and semi-direct products, and factor groups; establish and apply the fundamental results about homomorphisms - including the first, second and third isomorphism theorems - and test specific functions for the homomorphism property; perform various computations on permutations, including decomposition into disjoint cycles and evaluation of order; apply Sylow's theorem.
Skills
Numeracy and analytic argument skills, problem solving, analysis and construction of proofs.
- definition and examples of metric spaces (including function spaces)
- open sets, closed sets, closure points, sequential convergence, density, separability
- continuous mappings between metric spaces
- completeness
Learning Outcomes
It is intended that students shall, on successful completion of the module, be able to: understand the concept of a metric space; understand convergence of sequences in metric spaces; understand continuous mappings between metric spaces; understand the concepts and simple properties of special subsets of metric spaces (such as open, closed and compact); understand the concept of Hilbert spaces, along with the basic geometry of Hilbert spaces, orthogonal decomposition and orthonormal basis.
Skills
Analytic argument skills, problem solving, analysis and construction of proofs.
Students complete a work, volunteer or study placement in fulfilment of the residence abroad requirements associated with their chosen Mathematics degree.
Learning Outcomes
On successful completion of this module students should be able to demonstrate:
- Advanced linguistic skills (where appropriate)
- Enhanced cultural and intercultural awareness
- An understanding of the work environment and professional skills OR an understanding of a different university system and enhanced academic skills
Skills
Students undertaking the placement will develop their skills in the following areas: linguistic skills (reading, writing, listening, speaking); professional or academic skills; cultural and intercultural awareness; personal development.
In this module, students will analyse real-life situations, build a mathematical model, solve it using analytical and/or numerical techniques, and analyse and interpret the results and the validity of the model by comparing to actual data. The emphasis will be on the construction and analysis of the model rather than on solution methods. Two group projects will fix the key ideas and incorporate the methodology. This will take 7-8 weeks of term and will be supported with seminars and workshops on the modelling process. Then students will focus on a solo project (relevant to their pathways) with real-life application and work individually on this for the remaining weeks of term. They will present their results in seminars with open discussion, and on a Webpage.
The starting group project will be focused, and offer a limited number of specific modelling problems. For the other projects, students will build on these initial problems by addressing a wider problem taken from, but not exclusively, the following areas: classical mechanics, biological models, finance, quantum mechanics, traffic flow, fluid dynamics, and agent-based models, including modelling linked to problems of relevance to the UN sustainable development goals. A pool of options will be offered, but students will also have the opportunity to propose a problem of their own choice.
Learning Outcomes
On successful completion of the module, it is intended that students will be able to:
1. Develop mathematical models of different kinds of systems using multiple kinds of appropriate abstractions
2. Explain basic relevant numerical approaches
3. Implement their models in Python and use analytical tools when appropriate
4. Apply their models to make predictions, interpret behaviour, and make decisions
5. Validate the predictions of their models against real data.
Skills
1. Creative mathematical thinking
2. Formulation of models, the modelling process and interpretation of results
3. Teamwork
4. Problem-solving
5. Effective verbal and written communication skills
• Introduction and basic properties of errors: Introduction; Review of basic calculus; Taylor's theorem and truncation error; Storage of non-integers; Round-off error; Machine accuracy; Absolute and relative errors; Richardson's extrapolation.
• Solution of equations in one variable: Bisection method; False-position method; Secant method; Newton-Raphson method; Fixed point and one-point iteration; Aitken's "delta-squared" process; Roots of polynomials.
• Solution of linear equations: LU decomposition; Pivoting strategies; Calculating the inverse; Norms; Condition number; Ill-conditioned linear equations; Iterative refinement; Iterative methods.
• Interpolation and polynomial approximation: Why use polynomials? Lagrangian interpolation; Neville's algorithm; Other methods.
• Approximation theory: Norms; Least-squares approximation; Linear least-squares; Orthogonal polynomials; Error term; Discrete least-squares; Generating orthogonal polynomials.
• Numerical quadrature: Newton-Cotes formulae; Composite quadrature; Romberg integration; Adaptive quadrature; Gaussian quadrature (Gauss-Legendre, Gauss-Laguerre, Gauss-Hermite, Gauss-Chebyshev).
• Numerical solution of ordinary differential equations: Boundary-value problems; Finite-difference formulae for first and second derivatives; Initial-value problems; Errors; Taylor-series methods; Runge-Kutta methods.
Learning Outcomes
On completion of the module, it is intended that students should: appreciate the importance of numerical methods in mathematical modelling; be familiar with, and understand the mathematical basis of, the numerical methods employed in the solution of a wide variety of problems;
through the computing practicals and project, have gained experience of scientific computing and of report-writing using a mathematically-enabled word-processor.
Skills
Problem solving skills; computational skills; presentation skills.
Building on skills acquired at level 2, and during residence abroad, this module aims to develop advanced competence in the target language. Linguistic, sociolinguistic and cultural awareness will be consolidated and deepened. The module will contain the following elements:
1. Text- based work in the target language (1 hour per week)
This contact hour is centred upon skills in persuasive and report writing, drawing upon a variety of contemporary source texts in Spanish, which are grouped thematically. A range of language acquisition and development methods will be employed: group discussion, reading and critical analysis, summary & paraphrase and responsive writing.
2. Translation into English (1 hour per week)
Students will build upon translation skills embedded at Levels 1 and 2 to deepen their ability to respond to a range of source text types of an advanced level of difficulty, grouped according to the course themes as for Hour 1. They will also develop editing skills and improve their expression in English.
3. Contextual study (1 hour per week)
The research led strand will introduce students to literary, cultural and historical source material from Spain and Latin America, deepening and contextualising the linguistic elements of the module by placing them in a broader socio-historical context.
4. Conversation class (1 hour per week)
Conversation class is led by a native speaker of Spanish and complements the content of the Language Hour. Students will meet in small groups to discuss, debate, and present on the main themes of the course
Learning Outcomes
On Successful completion of the Module Students should:
1) Be able to demonstrate a high level of fluency, accuracy and spontaneity in their written and spoken Spanish, including the use of a broad variety of linguistic structures and vocabulary, congruent with carrying out activities in Spanish in a professional environment
2) Be able to deal with a broad variety of material in the target language, including material which is complex and abstract, and which involves a variety of genres, dialects and registers;
3) Be able to synthesise knowledge, identify key points, and structure and present arguments at a high level in a range of formats and registers
Skills
On successful completion of the modules students should have developed the following range of skills: Advanced skills in translation and textual analysis; the ability to argue at length and in detail about a topic in both Spanish & English, lexicographical skills; report writing skills; IT skills; presentation skills; spoken language skills
Self-study of an advanced mathematical topic under the supervision of a member of staff. Students will be offered a choice of subjects, which can span the entire range of applied mathematics, including theoretical physics. The study concludes with a written report and a poster presentation.
Learning Outcomes
At the end of the module students should be able to:
• Demonstrate knowledge and understanding of an advanced topic in mathematics
• Demonstrate the project management skills to carry out a mathematical investigation
• Explain an extended study of mathematics in both written and oral presentations
• Apply a range of mathematical techniques to loosely defined problems
• Use and implement various project management skills
• Use and implement various oral and written presentation skills
Skills
The project module is geared towards the development of a wide range of skills.
1. Mathematics skills
a. Consolidation of obtained knowledge
b. Independence as a mathematician
2. Project management skills
a. Project planning
b. Time management
c. Adherence to deadlines
3. Presentation skills.
a. Report-writing skills
b. Oral presentation skills
This module is concerned with the investigation processes of mathematics, including the construction of conjectures based on simple examples and the testing of these with further examples, aided by computers where appropriate. A variety of case studies will be used to illustrate these processes. A series of group and individual investigations will be made by students under supervision, an oral presentation will be made on one of these investigations. While some of the investigations require little more than GCSE as a background, students will be required to undertake at least one investigation which needs knowledge of Mathematics at Level 2 or Level 3 standard and/or some background reading.
Learning Outcomes
It is intended that the students shall, on successful completion of the module, be able: to reformulate a complex problem in abstract language, and thereby to analyse and understand the given problem in mathematical terms; to find solutions of a given problem by mathematical analysis; to communicate the results in precise language, in particular specifying the assumptions made while solving the problem, and verifying the correctness of the solution; to work individually and as members of a team on a complex problem, combining information from various sources and validating their correctness.
Skills
Research skills, presentational skills. Use of many sources of information.
Continuous dynamical systems
- Fundamental theory: existence, uniqueness and parameter dependence of solutions;
- Linear systems: constant coefficient systems and the matrix exponential; nonautonomous linear systems; periodic linear systems.
- Topological dynamics: invariant sets; limit sets; Lyapunov stability.
- Grobman-Hartman theorem.
- Stable, unstable and centre manifolds.
- Periodic orbits: Poincare-Bendixson theorem.
- Bifurcations
- Applications: the Van der Pol oscillator; the SIR compartmental model; the Lorenz system.
Discrete dynamical systems
- One-dimensional dynamics: the discrete logistic model; chaos; the Cantor middle-third set.
Learning Outcomes
It is intended that students shall, on successful completion of the module: have a good understanding and ability to use the basics of dynamical systems; be able to perform computations pertaining to problems in these areas; have reached a good level of skill in manipulating basic and complex questions within this framework, and be able to reproduce, evaluate and extend logical arguments; be able to select suitable tools to solve a problem, and to communicate the mathematical reasoning accurately and confidently.
Skills
Analytic argument skills, computation, manipulation, problem solving, understanding of logical arguments.
1. Simplicial complexes
2. PL functions
3. Simplicial homology
4. Filtrations and barcodes
5. Matrix reduction
6. The Mapper Algorithm
7. Learning with topological descriptors
8. Statistics with topological descriptors
Learning Outcomes
It is intended that students shall, on successful completion of the module, demonstrate knowledge and confidence in applying key ideas and concepts of topological data analysis, such as simplicial complexes, simplicial homology, barcodes, matrix reduction and the analysis of topological descriptors.
In addition, students should be able to use standard software (e.g. the freely available R package TDA) to analyse simple data sets.
Skills
Knowing and applying basic techniques of topological data analysis. In particular, this includes the analysis and interpretation of topological invariants of data sets; the production of graphical representations of such descriptors; and basic computational aspects of linear algebra.
A characterisation of finite-dimensional normed spaces; the Hahn-Banach theorem with consequences; the bidual and reflexive spaces; Baire’s theorem, the open mapping theorem, the closed graph theorem, the uniform boundedness principle and the Banach-Steinhaus theorem; weak topologies and the Banach-Alaoglu theorem; spectral theory for bounded and compact linear operators.
Learning Outcomes
It is intended that students shall, on successful completion of the module, be able to: recognise when a normed space is finite dimensional; determine when linear functionals on normed spaces are bounded and determine their norms; be familiar with the basic theorems of functional analysis (Hahn-Banach, Baire, open mapping, closed graph and Banach-Steinhaus theorems) and be able to apply them; understand dual spaces, recognise the duals of the standard Banach spaces and recognise which of the standard Banach spaces are reflexive; understand the relations between weak topologies on normed spaces and compactness properties; be familiar with the basic spectral theory of bounded and compact linear operators.
Skills
Analysis of proof and development of mathematical techniques in linear infinite dimensional problems.
Rings, subrings, prime and maximal ideals, quotient rings, homomorphisms, isomorphism theorems, integral domains, principal ideal domains, modules, submodules and quotient modules, module maps, isomorphism theorems, chain conditions (Noetherian and Artinian), direct sums and products of modules, simple and semisimple modules.
Learning Outcomes
It is intended that students shall, on successful completion of the module, be able to: understand, apply and check the definitions of ring and module; subring/submodule and ideal against concrete examples; understand and apply the isomorphism theorems; understand and check the concepts of integral domain, principal ideal domain and simple ring; understand and be able to produce the proof of several statements regarding the structure of rings and modules; master the concept of Noetherian and Artinian Modules and rings.
Skills
Numeracy and analytic argument skills, problem solving, analysis and construction of proofs.
Introduction to financial derivatives: forwards, futures, swaps and options; Future markets and prices; Option markets; Binomial methods and risk-free portfolio; Stochastic calculus and random walks; Ito's lemma; the Black-Scholes equation; Pricing models for European Options; Greeks; Credit Risk.
Learning Outcomes
On completion of the module, it is intended that students will be able to: explain and use the basic terminology of the financial markets; calculate the time value of portfolios that include assets (bonds, stocks, commodities) and financial derivatives (futures, forwards, options and swaps); apply arbitrage-free arguments to derivative pricing; use the binomial model for option pricing; model the price of an asset as a stochastic process; define a Wiener process and derive its basic properties; obtain the basic properties of differentiation for stochastic calculus; derive and solve the Black-Scholes equation; modify the Black-Scholes equation for various types of underlying assets; price derivatives using risk-neutral expectation arguments; calculate Greeks and explain credit risk.
Skills
Application of Mathematics to financial modelling. Apply a range of mathematical methods to solve problems in finance. Assimilating abstract ideas.
• Functionals on R^n, linear equations and inequalities; hyperplanes; half-spaces
• Convex polytopes; faces
• Specific examples: e.g., traveling salesman polytope, matching polytopes
• Linear optimisation problems; geometric interpretation; graphical solutions
• Simplex algorithm
• LP duality
• Further topics in optimisation, e.g., integer programming, ellipsoid method
Learning Outcomes
It is intended that students shall, on successful completion of the module, be able to:
• demonstrate understanding of the foundational geometry of convex polytopes;
• demonstrate understand of the geometric ideas behind linear optimisation;
• solve simple optimisation problems graphically;
• apply the simplex algorithm to concrete optimisation problems.
Skills
Knowing and applying basic techniques of polytope theory and optimisation.
Introduction:
- Examples of important classical PDEs (e.g. heat equation, wave equation, Laplace’s equation)
- method of separation of variables
Fourier series:
- pointwise and L^2 convergence
- differentiation and integration of Fourier series; using Fourier series to solve PDEs
Distributions:
- basic concepts and examples (space of test functions and of distributions, distributional derivative, Dirac delta)
- convergence of Fourier series in distributions
- Schwartz space, tempered distributions, convolution
Fourier transform:
- Fourier transform in Schwartz space, L^1, L^2 and tempered distributions
- convolution theorem
- fundamental solutions (Green’s functions) of classical PDEs
Learning Outcomes
On completion of the module it is intended that students will be able to:
- use separation of variables to solve simple PDEs
- understand the concept of Fourier series and be able to justify their convergence in various senses
- find solutions of basic PDEs using Fourier series (including a justification of convergence)
- understand the concept of distributions and tempered distributions
- perform basic operations with distributions
- understand the concept of Fourier transform in various settings
- solve classical PDEs using Fourier transform (finding and using fundamental solutions)
Skills
Analytic argument skills, problem solving, use of generalized methods.
• Overview of classical physics and the need for new theory.
• Basic principles: states and the superposition principle, amplitude and probability, linear operators, observables, commutators, uncertainty principle, time evolution (Schrödinger equation), wavefunctions and coordinate representation.
• Elementary applications: harmonic oscillator, angular momentum, spin.
• Motion in one dimension: free particle, square well, square barrier.
• Approximate methods: semiclassical approximation (Bohr-Sommerfeld quantisation), variational method, time-independent perturbation theory, perturbation theory for degenerate states (example: spin-spin interaction, singlet and triplet states).
• Motion in three dimensions: Schrödinger equation, orbital angular momentum, spherical harmonics, motion in a central field, hydrogen atom.
• Atoms: hydrogen-like systems, Pauli principle, structure of many-electron atoms and the Periodic Table.
Learning Outcomes
On the completion of this module, successful students will be able to
• Understand, manipulate and apply the basic principles of Quantum Theory involving states, superpositions, operators and commutators;
• Apply a variety of mathematical methods to solve a range of basic problems in Quantum Theory, including the finding of eigenstates, eigenvalues and wavefunctions;
• Use approximate methods to solve problems in Quantum Theory and identify the range of applicability of these methods;
• Understand the structure and classification of states of the hydrogen atom and explain the basic principles behind the structure of atoms and Periodic Table.
Skills
• Proficiency in quantum mechanics, including its modelling and problem-solving aspects.
• Assimilating abstract ideas.
• Using abstract ideas to formulate specific problems.
• Applying a range of mathematical methods to solving specific problems.
A (Mathematics) AB including Spanish
OR
A* (Mathematics) BB including Spanish
A maximum of one BTEC/OCR Single Award or AQA Extended Certificate will be accepted as part of an applicant's portfolio of qualifications with a Distinction* being equated to a grade A at A-level and a Distinction being equated to a grade B at A-level.
Irish Leaving Certificate
H2H3H3H3H3H3 including Higher Level grade H2 in Mathematics and H3 in Spanish
Access Course
Not normally considered as Access Courses would not satisfy language requirements.
International Baccalaureate Diploma
34 points overall including 6 (Mathematics) 6,5 at Higher Level to include Spanish.
Graduate
A minimum of a 2:2 Honours Degree provided any subject requirement is also met.
Note
All applicants must have GCSE English Language grade C/4 or an equivalent qualification acceptable to the University.
How we choose our students
In addition, to the entrance requirements above, it is essential that you read our guidance below on 'How we choose our students' prior to submitting your UCAS application.
Applications are dealt with centrally by the Admissions and Access Service rather than by the School of Mathematics and Physics. Once your on-line form has been processed by UCAS and forwarded to Queen's, an acknowledgement is normally sent within two weeks of its receipt at the University.
Selection is on the basis of the information provided on your UCAS form. Decisions are made on an ongoing basis and will be notified to you via UCAS.
For entry last year, applicants for programmes in the School of Mathematics and Physics offering A-level/BTEC Level 3 qualifications must have had, or been able to achieve, a minimum of five GCSE passes at grade C/4 or better (to include English Language and Mathematics), though this profile may change from year to year depending on the demand for places. The Selector also checks that any specific entry requirements in terms of GCSE and/or A-level subjects can be fulfilled.
Offers are normally made on the basis of three A-levels. Two subjects at A-level plus two at AS would also be considered. The offer for repeat candidates may be one grade higher than for first time applicants. Grades may be held from the previous year.
Applicants offering two A-levels and one BTEC Subsidiary Diploma/National Extended Certificate (or equivalent qualification) will also be considered. Offers will be made in terms of the overall BTEC grade awarded. Please note that a maximum of one BTEC Subsidiary Diploma/National Extended Certificate (or equivalent) will be counted as part of an applicant’s portfolio of qualifications. The normal GCSE profile will be expected.
For applicants offering the Irish Leaving Certificate, please note that performance at Irish Junior Certificate (IJC) is taken into account. For last year’s entry, applicants for this degree must have had a minimum of five IJC grades at C/Merit. The Selector also checks that any specific entry requirements in terms of Leaving Certificate subjects can be satisfied.
Applicants offering other qualifications will also be considered. The same GCSE (or equivalent) profile is usually expected of those candidates offering other qualifications.
The information provided in the personal statement section and the academic reference together with predicted grades are noted but, in the case of degree courses in the School of Mathematics and Physics, these are not the final deciding factors in whether or not a conditional offer can be made. However, they may be reconsidered in a tie break situation in August.
A-level General Studies and A-level Critical Thinking would not normally be considered as part of a three A-level offer and, although they may be excluded where an applicant is taking four A-level subjects, the grade achieved could be taken into account if necessary in August/September.
Candidates are not normally asked to attend for interview.
If you are made an offer then you may be invited to a Faculty/School Visit Day, which is usually held in the second semester. This will allow you the opportunity to visit the University and to find out more about the degree programme of your choice and the facilities on offer. It also gives you a flavour of the academic and social life at Queen's.
If you cannot find the information you need here, please contact the University Admissions and Access Service (admissions@qub.ac.uk), giving full details of your qualifications and educational background.
International Students
Our country/region pages include information on entry requirements, tuition fees, scholarships, student profiles, upcoming events and contacts for your country/region. Use the dropdown list below for specific information for your country/region.
English Language Requirements
An IELTS score of 6.0 with a minimum of 5.5 in each test component or an equivalent acceptable qualification, details of which are available at: go.qub.ac.uk/EnglishLanguageReqs
If you need to improve your English language skills before you enter this degree programme, INTO Queen's University Belfast offers a range of English language courses. These intensive and flexible courses are designed to improve your English ability for admission to this degree.
Academic English: an intensive English language and study skills course for successful university study at degree level
Pre-sessional English: a short intensive academic English course for students starting a degree programme at Queen's University Belfast and who need to improve their English.
International Students - Foundation and International Year One Programmes
INTO Queen's offers a range of academic and English language programmes to help prepare international students for undergraduate study at Queen's University. You will learn from experienced teachers in a dedicated international study centre on campus, and will have full access to the University's world-class facilities.
These programmes are designed for international students who do not meet the required academic and English language requirements for direct entry.
Studying for a degree in Mathematics with Spanish at Queen’s will assist students in developing the core skills and employment-related experiences that are valued by employers, professional organisations and academic institutions. Graduates from this degree are well regarded by many employers (local, national and international) and over half of all graduate jobs are now open to graduates of any discipline, including mathematics.
According to the Institute for Fiscal Studies, 5 years after graduation, Maths graduates earn 20 per cent more on average than other graduates (IFS 2018) and are the 3rd highest earners compared to all other subjects.
Although many of our graduates are interested in pursuing careers in teaching, banking and finance, significant numbers develop careers in a wide range of other sectors. The following is just a small selection of the major career sectors that have attracted our graduates in recent years:
Management Consultancy
Export Marketing (NI Programme)
Fast Stream Civil Service
Varied graduate programmes (Times Top 100 Graduate Recruiters/AGR, Association of Graduate Recruiters UK)
Employment after the Course
Typical career destinations of graduates include:
• Teaching
• Finance and Banking (Financial Analyst, Predictive Modelling, Quantitative Analyst)
• Management (Consultancy, Risk Analyst, Insurance)
• Engineering and Information Technology (Data Scientist, Software and Process Engineer)
• Statistics, Market and Operational Research
• Research (academia and industry)
• Government and Defence
• Medical Science
• Export Marketing (NI Programme)
• Varied graduate programmes (Times Top 100 Graduate Recruiters/AGR, Association of Graduate Recruiters UK)
Companies working in the sectors above that often employ our graduates include: AquaQ Analytics, Civil Service Fast Stream, Citi, First Derivatives, AllState, Liberty Insurance, PwC, Santander, Clarus Financial Technologies, Kainos, Teach First.
What employers say
We have Mathematics graduates working across many parts of the business and they play a central role in creating cutting edge solutions for our customers, enabling them to push the boundaries of science.
Claire Greenwood, Director of Engineering, Andor Technology
At Citi, we value diverse thinking and we encourage Maths students to join our Graduate Programmes each year. The Maths graduates that we have hired have been extremely successful in their careers within Citi, in particular our Software Engineering opportunities. They excel in their profession with us as they are able to transfer their analytical, numerical and problem solving skills to their day to day responsibilities.
Aislinn Wilson, Applications Development Senior Manager, Citi group
Prizes and Awards
Top performing students are eligible for a number of prizes within the School.
Degree Plus/Future Ready Award for extra-curricular skills
In addition to your degree programme, at Queen's you can have the opportunity to gain wider life, academic and employability skills. For example, placements, voluntary work, clubs, societies, sports and lots more. So not only do you graduate with a degree recognised from a world leading university, you'll have practical national and international experience plus a wider exposure to life overall. We call this Degree Plus/Future Ready Award. It's what makes studying at Queen's University Belfast special.
1EU citizens in the EU Settlement Scheme, with settled status, will be charged the NI or GB tuition fee based on where they are ordinarily resident. Students who are ROI nationals resident in GB will be charged the GB fee.
2 EU students who are ROI nationals resident in ROI are eligible for NI tuition fees.
3 EU Other students (excludes Republic of Ireland nationals living in GB, NI or ROI) are charged tuition fees in line with international fees.
The tuition fees quoted above for NI and ROI are the 2024/25 fees and will be updated when the new fees are known. In addition, all tuition fees will be subject to an annual inflationary increase in each year of the course. Fees quoted relate to a single year of study unless explicitly stated otherwise.
Tuition fee rates are calculated based on a student’s tuition fee status and generally increase annually by inflation. How tuition fees are determined is set out in the Student Finance Framework.
Additional course costs
Students have a compulsory year abroad in year 3 of their degree. Students who undertake a period of study or work abroad are responsible for funding travel, accommodation and subsistence costs. These costs vary depending on the location and duration of the placement.
A limited amount of funding may be available to contribute towards these additional costs, if the placement takes place through a government student mobility scheme.
All Students
Depending on the programme of study, there may be extra costs which are not covered by tuition fees, which students will need to consider when planning their studies.
Students can borrow books and access online learning resources from any Queen's library. If students wish to purchase recommended texts, rather than borrow them from the University Library, prices per text can range from £30 to £100. Students should also budget between £30 to £75 per year for photocopying, memory sticks and printing charges.
Students undertaking a period of work placement or study abroad, as either a compulsory or optional part of their programme, should be aware that they will have to fund additional travel and living costs.
If a programme includes a major project or dissertation, there may be costs associated with transport, accommodation and/or materials. The amount will depend on the project chosen. There may also be additional costs for printing and binding.
Students may wish to consider purchasing an electronic device; costs will vary depending on the specification of the model chosen.
There are also additional charges for graduation ceremonies, examination resits and library fines.
How do I fund my study?
There are different tuition fee and student financial support arrangements for students from Northern Ireland, those from England, Scotland and Wales (Great Britain), and those from the rest of the European Union.
Application for admission to full-time undergraduate and sandwich courses at the University should normally be made through the Universities and Colleges Admissions Service (UCAS). Full information can be obtained from the UCAS website at: www.ucas.com/students.
When to Apply
UCAS will start processing applications for entry in autumn 2025 from early September 2024.
The advisory closing date for the receipt of applications for entry in 2025 is still to be confirmed by UCAS but is normally in late January (18:00). This is the 'equal consideration' deadline for this course.
Applications from UK and EU (Republic of Ireland) students after this date are, in practice, considered by Queen’s for entry to this course throughout the remainder of the application cycle (30 June 2025) subject to the availability of places. If you apply for 2025 entry after this deadline, you will automatically be entered into Clearing.
Applications from International and EU (Other) students are normally considered by Queen's for entry to this course until 30 June 2025. If you apply for 2025 entry after this deadline, you will automatically be entered into Clearing.
Applicants are encouraged to apply as early as is consistent with having made a careful and considered choice of institutions and courses.
The Institution code name for Queen's is QBELF and the institution code is Q75.
Additional Information for International (non-EU) Students
Applying through UCAS
Most students make their applications through UCAS (Universities and Colleges Admissions Service) for full-time undergraduate degree programmes at Queen's. The UCAS application deadline for international students is 30 June 2025.
Applying direct
The Direct Entry Application form is to be used by international applicants who wish to apply directly, and only, to Queen's or who have been asked to provide information in advance of submitting a formal UCAS application. Find out more.
Applying through agents and partners
The University’s in-country representatives can assist you to submit a UCAS application or a direct application. Please consult the Agent List to find an agent in your country who will help you with your application to Queen’s University.
