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Mathematics BSc (Hons)

Mathematics BSc (Hons)

School of Computing, Engineering and Physical Sciences




Under- graduate


  • Duration:

    Full-time: three years. Part-time: at least five years.

  • Level:


  • Delivery:

    Campus, Full-time and Part-time

  • UCAS Code:

    G100; Short form: BSc/M

  • Fees:

    £9,000 per year (UK/EU)

  • Campus:

    Preston (Campus code: U)

  • Start Date:


  • Award Type:

    BSc (Hons)

Why study this course?

If you want to develop your skills and knowledge over a broad range of mathematical disciplines, this top 10 rated degree is for you. It will equip you with a thorough overview of modern mathematics, exploring a range of topics from pure and applied mathematics to statistics. We place an emphasis on the key skills of mathematical reasoning, covering the fundamentals of mathematics in lectures and workshops, along with problem-solving activities, group work and computer lab sessions. You’ll also develop transferable skills in other areas such as report writing and presentations - skills which are highly sought after by employers.




Please read the course structure for more information about our mathematics course.

Entry Requirements

2014 Entry Requirements
BBC A2 inc. B in Maths (Use of Maths not accepted) (excluding General Studies) or BTEC Extended Diploma at DMM, plus A Level Maths Grade B, GCSE Maths & English Grade C.

2015 Entry Requirements
ABB A2 inc. A in Maths (Use of Maths not accepted) (including General Studies) or BTEC Extended Diploma at DDM, plus A Level Maths Grade A, GCSE Maths & English Grade C.


Contact UCLan

Course Enquiries
University of Central Lancashire
United Kingdom

Tel: +44 (0)1772 892400

How to Apply

How to Apply

Information about admissions; what to expect; what we need and your next steps. For information on financial support options see Bursaries/ scholarships.

Apply now

Course at a Glance

Year 1

Compulsory modules

  • Introduction to Algebra and Linear Algebra: Number Systems; Matrices; Eigenvalues and Eigenfunctions.
  • Introduction to Real Analysis: Proof; Inequalities; Sequences and Series; Convergence testing; Functions & Continuity; Intermediate Value Theorem.
  • Functions, Vectors & Calculus: Functions; Differentiation; Integration; Series; Partial Differentiation; Multiple Integration; Complex Numbers; Vector Calculus.
  • Introduction to Mechanics: Kinematics; Forces; Work & Power; Energy; Dynamics; Ordinary Differential Equations.
  • Computational Mathematics: Use of computer algebra software; mathematical modelling.
  • Introductory Statistics: Data Collection; Presentation; and Analysis, Probability, Statistical Inference.

Year 2

Compulsory modules

  • Algebraic Structures: Groups; Rings; Vector Spaces.
  • Ordinary Differential Equations: Series and Numerical Solutions of ODEs; Systems of ODEs; Fourier Series.


  • Cryptology: Symmetric Cyphers; The Euler Phi Function; Public Key Cryptography; Primality Tests; Factorizsation; Breaking ElGamal
  • Further Real Analysis: Differentiation; Rolle's Theorem; Mean Value Theorems; Taylor's Theorem; Integration; Riemann Integral; Fundamental Theorem of Calculus; Improper integrals; Introduction to Complex Analysis.
  • Vector Calculus: Vector Calculus; Vector Functions; Line, Surface and Volume Integrals; Orthogonal Curvilinear Coordinates.
  • Lagrangian and Hamiltonian Mechanics: Calculus of Variations; The Lagrangian Formulation; Hamiltonian Mechanics; Solid Body Motion; Collision.
  • Numerical Analysis: Errors; Convergence and Stability; Linear Algebra; Algebraic Equations; Interpolation; Numerical Calculus; Differential Equations.
  • Further Statistics: Probability; Probability Distributions; Regressions.

Year 3


  • Fields & Galois Theory: Fields and Polynomials; Extensions; Galois Groups.
  • Logic: Z-F axioms, Cantor's Theorem, Schroder-Bernstein Theorem, propositional logic, predicate calculus, models.
  • Complex Analysis: Continuity and Differentiability; Heine-Borel Theorem; Cauchy’s Theorem; Cauchy’s Integral Formula; Laurent Series; Contour Integration.
  • PDEs and Integral Transforms: First and Second-Order Partial Differential Equations; Orthogonal Function Decompositions; Laplace Transforms; Fourier Transforms.
  • Fluid Dynamics: Euler fluids; Gas Dynamics; Potential Flow; Vortex motion; Viscosity.
  • Mathematical Biology: Population Dynamics; Host-parasite models; Predator-prey models; Infectious Diseases; Population Genetics; Biological Motion.
  • Applied Numerical Analysis: Initial Value Problems; Boundary Value Problems; Finite Differences; Finite Elements; Boundary Elements.
  • Time Series and Operational Research: Regression and Correlation; Time Series Analysis; Linear Programming; Monte Carlo Modelling; Networks.
  • Mathematics Project: Different topics in Pure and Applied Mathematics

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28th September 2014

Further Information

The BSc (Hons) Mathematics is designed to provide you with an excellent foundation in modern mathematics and to develop your skills and knowledge over a broad area of the mathematical disciplines.

At Stage 1 (Year 1 for full-time students) you will study fundamental modules in pure, applied and computational mathematics and statistics.

At Stage 2 (Years 2 and 3 for full-time students) you will take a variety of modules in pure and applied mathematics and statistics which include a number of compulsory topics, such as Ordinary Differential Equations, along with optional modules across pure and applied mathematics such as Fields and Galois Theory, and Mathematical Biology. The course is a broad, balanced programme with an emphasis on the keys skills of mathematical reasoning.

In your third year you can undertake an individual project in Mathematics under the guidance of a supervisor. This is an opportunity to investigate in depth an area or application of mathematics that particularly interests you.

During Stage One you will cover the fundamentals of mathematics in lecture courses and workshops. These modules are designed to provide you with the core skills required to tackle the more advanced material in the following years. Stage 2 modules range from those that present mathematical theory and proof, thereby developing your reasoning ability, to those with a more practical slant that develop your problem-solving. There is also the opportunity to take part in problem-solving activities, group work and computer lab sessions.

Throughout the mathematics course you will encounter a range of teaching methods. This may include traditional “chalk and talk” style lectures, small group tutorials and problem workshops, and sessions in computer laboratories, depending on the module studied. For some modules, the University’s online learning environment (eLearn) will be used to access course materials. In many modules, problem sheets will be given out, which will reinforce your knowledge of the material taught in lectures. This combination of learning methods allows you to continue independent learning through a variety of approaches.

The mathematics team encompasses 10 members of staff based in the School of Computing, Engineering & Physical Sciences, who specialise in various aspects of pure and applied mathematics. This includes model theory, acoustics, non-associative algebras, dynamical systems and magnetohydrodynamics (MHD).  These include: Kevin Bowman, Christopher Powles, Danielle Bewsher and Daniel Brown.

The staff who teach on these courses are all members of the Jeremiah Horrocks Institute for Mathematics, Physics, and Astronomy. They all have doctoral research degrees and come from diverse and international backgrounds.

Several of the mathematics team are also members of mathematics professional bodies such as the Institute of Mathematics and Its Applications (IMA) and the London Mathematical Society (LMS), and are actively involved in local branch activity.

The mathematics programme provides an excellent foundation in modern mathematics and encompasses elements from pure mathematics, applied mathematics and statistics.

The programme is built around a set of core material from the three sub-disciplines supplemented by specialist modules such as cryptology, logic and mathematical biology.

As well as development of mathematical skills and knowledge, development of transferable skills such as report writing, presentations and group work is embedded in the programme.

Students graduating from the mathematics programme are equipped with skills that prepare them for postgraduate study. Every year, PhD studentships are available within the Jeremiah Horrocks Institute, working on a variety of topics with different academics.

The mathematics course will help you to develop a range of important skills that will make you attractive to employers. These include:

  • Analytical skills
  • Communication skills
  • Investigative skills
  • Learning skills
  • Problem-solving skills
  • Self-management
  • Team work

At the end of the mathematics course, you will be ready for a career in any one of a vast range of industries, including:

  • Finance, banking and insurance
  • Business consultancy and operational research
  • Defense and military industries
  • Space science and astronomy
  • Natural and life sciences, medicine and health
  • IT industries, computing and engineering
  • Education
  • Art, design and music

Late Applications

We are still accepting applications for a number of courses starting in 2014, please contact us for further information.

Contact Us

+44(0)1772 892400

Professional Accreditation

Our Maths degree is approved by the Institute of Mathematics and Its Applications (IMA).

Learning Environment and Assessment

To complement the mathematical content, development of transferable skills is integrated within the mathematics course. These skills include writing reports, giving presentations and group work, which are skills that are highly desired by employers. The course also includes outdoor team-building events.

The School provides an 'electronic learning' environment to facilitate flexible learning. This environment combines traditional face-to-face lecture/tutorial and practical sessions with additional, resource-rich, on-line materials allowing you to continue independent learning through a variety of approaches.

Emphasis is placed on learning by doing and all modules stress the importance of applicable work, in both laboratories and tutorials.  There will be a combination of coursework and examinations, depending on the modules selected. A variety of coursework assessments will be used. In first year, these include a mixture of project work and small continuous tests.


You can choose to undertake a work placement in a relevant industry to enhance your practical mathematical skills and apply them to the workplace.

You could choose to spend a year studying at our campus in Cyprus.

Mathematics graduates can be found throughout industry, business and commerce, in the public and private sectors, with large employers and in small organisations. Employers value the intellectual rigour and reasoning skills that mathematics students acquire, as well as their analytic approach to problem-solving.

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