Our MSci Mathematics gives you the opportunity to take your passion for Mathematics to new heights. You will begin with a broad range of subjects then, in your fourth year, take on an individual project and experience the challenge and pleasure of mathematical research.

You will benefit from the rich diversity of research interests among our world-leading experts here at Newcastle. The analytical and problem-solving skills you will learn will help you stand out in a highly competitive job market with our recent graduates securing positions in finance, management, computing and many other sectors including teaching and healthcare as well as many moving into research by taking higher degrees.

The Mathematics MSci programme will give a sound mathematical basis in a broad range of subject areas, helping you learn to apply analytical, statistical and computational skills to formulate and tackle problems. We will support you to think logically, independently and imaginatively, equipping you to make the most of the opportunities ahead.

In your first year, we will help you to make the step up to university level study and give you a sound mathematical basis in a broad range of subject areas. Alongside core calculus and algebra, other modules develop discrete mathematics, mechanics, pure mathematics, statistics and computational mathematics.

The second year will introduce you to more advanced areas allowing you to develop particular strengths or interests. You can decide at the end of this year whether to continue onto the BSc or MSci programme. The choice of modules in the third year is very broad, ranging from the highly abstract such as topology, to the highly applicable such as financial mathematics. As an MSci student, you will take at least one module involving project work.

In the fourth year you will reach the cutting edge of mathematics, choosing modules that are related to staff research areas. The MSci project is worth one third of your final year mark. You will work independently on a major project, writing a substantial report and presenting your work to others.


Why study Mathematics MSci at Newcastle?

  • Choice of modules allows you to specialise in areas that interest you
  • A rich diversity of research interests among staff provides exciting opportunities for project work and fourth year modules
  • You will take a fourth year MSci dissertation which is a research project contributing to a third of your final year mark. Here you will carry out independent research on an area of mathematics of your choosing. You will have an academic member of staff assigned to you as a project supervisor who you will meet with on a weekly basis to support your work. This project is a fantastic opportunity to explore an area of mathematics in more detail and is excellent preparation for further study and research in mathematics
  • Weekly small group tutorials mean you can work closely with academic staff and other students
  • Use of the Mathematics Learning Resource Centre provides you with a learning environment where you can work independently, in groups, or with help from postgraduate students
  • You will be supported in your study with with opportunities to discuss problems with lecturers, drop-in study sessions and peer-led support classes
  • If you are interested in Computer Science you can choose to study this subject for a year between your second and third year of your Mathematics degree and achieve a degree in Mathematics with an intercalated year in Computer Science. Students from non-computing disciplines will gain in-depth knowledge of computing and enhance their work-based skills.

Institutional Accreditation 

University of Newcastle is accredited by the DETC Higher Learning Commission (DETC), www.detc.org.uk Since , University of Newcastle has been continually accredited by the DETC Higher Learning Commission and its predecessor.

Mathematics MSci

Course Level:

Undergraduate, Single Honours





How long it takes:

Undergraduate (4 years)

Study Mode:

Distance learning/ Campus

Course cost

Price: US$20,220

Entry requirements

Find out more about


Newcastle Law School

Year 1

Your first year is carefully designed to manage the step up from school to university mathematics, focusing on the key ideas you will need later in the programme. 

  • Real Analysis – 20 credits
  • Algebra & Combinatorics 1 – 20 credits
  • Sequences and Series – 10 credits
  • Vectors, Geometry & Linear Algebra – 20 credits
  • Probability & Statistics – 10 credits
  • Mechanics – 10 credits
  • Mathematical Modelling & Problem Solving – 10 credits
  • Mathematical Workshops A – 10 credits
  • Mathematical Workshops B – 10 credits

Year 2 

As well as having some choice of modules, you will now be introduced to some of the more advanced areas of mathematics, allowing you to develop your particular strengths and interests in the third year. You will make the choice whether to take the BSc or MSci at the end of this year.


Core modules

  • Linear Algebra & Linear Programming – 20 credits
  • Mathematics in Industry – 10 credits
  • Multivariable & Vector Analysis – 20 credits
  • Numerical Methods & Programming – 10 credits
  • Real & Complex Analysis – 20 credits

Optional modules

Choose 40 credits of options. Example optional modules:

  • Algebra & Combinatorics 2 – 20 credits
  • Differential Equations – 20 credits
  • Statistics – 20 credits


Year 3 

You will now be able to specialise in one area of mathematics or cover several different areas. The range of modules to choose from is very wide. MSci students take at least one module involving project work.


Core modules

  • Research Skills in Mathematics – 20 credits

Optional modules

Choose 100 credits, subject to timetabling restrictions and necessary pre-requisites. All modules 20 credits, examples of optional modules listed below.


Semester 1
  • Nonlinear Programming I and Heuristic Optimisation
  • Applied Statistics
  • Integer Programming and Combinatorial Optimisation
  • Continuum Mechanics 
  • Methods in Partial Differential Equations
  • Metric Spaces and Topology
  • Mathematical Finance
  • Number Theory
  • Randomness and Computation
  • Advanced Mathematical Modelling
  • Differential Equations
  • Combinatorics and Communication Theory
  • Graph Theory
  • Group Theory
  • Algebra & Combinatorics 2
  • Medical Statistics
  • Statistical Methods in Economics
  • Statistics
  • Applied Mathematical Analysis
  • Numerical Methods and Numerical Linear Algebra
  • Functional and Fourier Analysis

Year 4 

You can now reach the cutting-edge of mathematics, choosing dedicated fourth-year modules that reflect staff research interests. Classes are often small and highly interactive. Perhaps the most exciting aspect of the MSci is the project, worth one third of your final-year mark. Here you will work individually, guided by a supervisor, on a project of your choice, allowing you to experience the challenge and pleasure of mathematical research.  The process of working independently on a major project, writing a substantial report and presenting your work to others develops skills highly valued by employers.

Core Module

  • Project in Mathematics – 40 credits

Optional modules

Choose 80 credits, subject to timetabling restrictions and necessary pre-requisites. All modules 20 credits, examples of optional modules listed below.

  • Advanced Mathematical Modelling
  • Advanced Topics in Algebra
  • Advanced Topics in Combinatorics
  • Applied Statistics
  • Continuum Mechanics
  • Graph Theory
  • Integer Programming and Combinatorial Optimisation
  • Advanced Mathematical Finance
  • Methods in Partial Differential Equations
  • Nonlinear Programming and Heuristic Optimisation
  • Number Theory
  • Reaction-Diffusion Theory
  • Applied Mathematics Analysis
  • Advanced Topics in Analysis
  • Algebraic and Differential Topology
  • Combinatorics and Communication Theory
  • Game Theory and Multicriteria Decision Making
  • Group Theory and Galois Theory A & B
  • Medical Statistics
  • Nonlinear Waves
  • Numerical Methods and Numerical Linear Algebra
  • Statistical Methods Economics – 20 credits

Entry requirements


Applicants should normally have one of the following:

  • A non-law bachelor’s degree (from a UK university or recognised by the BSB if you wish to study the BPTC), or
  • A ‘stale’ law degree, where five or more years have elapsed since graduation, or
  • An academic or professional qualification at degree equivalent level

If English is not your first language, you will also need to demonstrate your English Language proficiency. For example, you should have IELTS 7.5 overall with a minimum of 6.5 in all components.

If you intend to become a Solicitor

The Solicitors Regulation Authority has reduced its requirements for pre-authorisation this year. For details of the current arrangements, see the SRA website. You should pay special attention to the Character and Suitability section. If you think you may have a character or suitability issue, you may wish to clarify with the SRA before proceeding with the GDL.

See further details of our English Language requirement

USA,UK & EU students, 2019/20 (per year)


International students starting 2019/20 (per year)




You’ll show your progress through a combination of written essays, problem-solving assignments and presentations.

All students take our core modules, but please note that the availability of optional modules is subject to demand.

Our degrees in Mathematics will help you develop the knowledge and skills you need for a huge range of careers or further academic study. Where logical thinking, problem solving and statistical or strategic knowledge are required, being one of our graduates will put you ahead.

91% of our graduates are in employment or further study six months after graduation (DHLE 2016/17)

Whatever you plan to do when you graduate, we have a comprehensive support package to help you prepare including specialist careers guidance, exclusive work experience opportunities and global internships. Our  Careers Network offers support to help you identify your options, develop your skills and gain access to opportunities:

  • Frequent careers advice drop-in sessions in the School, so you can always get help and advice when you need it.
  • An annual Maths Careers Fair, where you can meet employers specifically interested in mathematics graduates.
  • Regular Careers Skills Workshops run by employers or the College employability team to guide you through your career planning and give you an advantage in the application process for graduate positions and internships.
  • A fortnightly careers e-newsletter, including vacancies suited to maths students, with application deadlines and a calendar of careers events likely to be of interest to you as a maths student.

We have a range of industrial partners who work with our students including E.ON, Caterpillar, Jaguar Land Rover, the Office for National Statistics, R&A, FDM Group, Barnett Waddingham and Malvern Instruments.