UCC Postgraduate courses

Mathematical Modelling and Self-Learning Systems

About This Course

Fact File

  • Title

    Mathematical Modelling and Self-Learning Systems

  • Code


  • College

    Science, Engineering and Food Science

  • Duration

    1 Year

  • Teaching Mode


  • Qualifications


  • EU Fees 2021

    See Fees and Costs for full details.

  • Non-EU Fees 2021


  • Entry Requirements

    See Requirements for full details.

  • Closing Date

    Closed for applications: we will reopen in November

  • Non-EU Closing Date

    Extended until 31 July 2021

  • Start Date

    13 September 2021

Course Outline

Self-learning systems are an important and newly emerging technique in many areas of applied science such as Applied Mathematics, Engineering, Computer Science and Statistics. In particular, self-learning systems are a disruptive approach to mathematical modelling which use differential equations at their foundation. A particular strength of this approach is that it combines numerical learning algorithms such as dynamic machine learning with differential equations to design applications that can adapt to a changing environment. This approach is new and unique because it explicitly takes into account the dynamic aspects of data and allows for fast and accurate modelling of self-learning systems. This is a new and rapidly developing area at the interface between applied mathematics and machine-learning (for example see here).

The primary aim of this course is to provide training in the use and development of modern numerical methods and self-learning software. Graduates will develop and apply new skills to real-world problems using mathematical ideas and techniques together with software tailored for complex networks and self-learning systems. While there is a strong focus on modern applications, graduates will gain in-demand skills in mathematical modelling, problem-solving, scientific computing, dynamic machine learning, complex networks and communication of mathematical ideas to a non-technical audience.

More general hands-on skills include mathematical typesetting, mathematical writing, desktop and web-based mathematical software development, and the use of computer languages and packages such as C#, R, Python and TensorFlow.


Part 1

  • AM6004 Numerical Methods and Applications (5 credits)
  • AM6005 Nonlinear Dynamics (5 credits)
  • AM6007 Scientific Computing with Numerical Examples (10 credits)
  • AM6013 Statistical, Dynamical and Computational Modelling (10 credits)
  • AM6015 Computational Techniques with Networks (5 credits)
  • AM6016 Dynamic Machine Learning with Applications (5 credits)
  • AM6017 Complex and Neural Networks (5 credits)
  • AM6020 Open Source Infrastructure for Mathematical Modelling and Big Data Applications (5 credits)
  • ST4060 Statistical Methods for Machine Learning I (5 credits)**
  • ST4061 Statistical Methods for Machine Learning II (5 credits)**

**Students who have taken ST4060 or ST4061 in a previous degree must select alternative modules (subject to availability and timetabling) from list A and list B of fourth year of the BSc (Mathematical Sciences) in consultation with the Programme Coordinator.

Part 2

  • AM6018 Dissertation in Mathematical Modelling and Self-Learning Systems (30 credits)


Further details on the modules listed above can be found in our book of modules. Any modules listed above are indicative of the current set of modules for this course but are subject to change from year to year.

University Calendar

You can find the full academic content for the current year of any given course in our University Calendar.

Course Practicalities

The course places great emphasis on hands-on practical skills. There is a computer laboratory allocated solely for the use of MSc students. PCs are preloaded with all the required software and tools. Teaching hours, tutorials and practical demonstrations, usually take place in the morning.  The rest of the time, you are expected to do exercises, assignments and generally put in the time required to acquire key skills. For online modules, students are advised to have access to a laptop/home computer with internet connection, modern browser, word processing and spreadsheet software.

Why choose this course?

This MSc reflects a philosophy of cutting edge teaching methods and pragmatism. As well as providing you with a host of abilities which are in demand in industry, this MSc provides skills which are complementary to most scientific and engineering undergraduate courses. The MSc not only opens up new possibilities, you also gain a set of skills that sets you apart from the crowd in your original field of study. The final project is an excellent opportunity for you to showcase your abilities to future employers or to undertake a detailed study in a new area of interest. The course is extremely flexible in helping you realise your ambitions. 

Skills and Careers Information

Graduates with quantitative skills and expertise in self-learning algorithms are in high demand in industry according to the Governments Expert Group on Future Skills Needs. Demand for these skills is projected to rise over the coming years not just in Ireland but in the EU and globally. Graduates from a similar MSc have secured jobs in the following areas: banking, financial trading, consultancy, online gambling firms, software development, logistics, data analysis and with companies such as AIB, McAfee, Fexco, DeCare Systems, MpStor, the Tyndall Institute, Matchbook.com, First Derivatives and KPMG.


  • Candidates must have obtained at least a Second Class Honours Grade II in a primary honours degree (NFQ, Level 8) or equivalent in a numerate discipline (i.e., commensurate with science or engineering programmes).
  • Candidates are expected to have taken courses in mathematics, applied mathematics or statistics at university level, and be familiar with calculus, vectors, matrices and elementary statistics. They are expected to have sufficient background in university-level mathematics as assessed by the course coordinator. In the case of competition for places selection will be made on the basis of primary degree results and/or interview.  For online modules, students are advised to have access to a laptop/home computer with internet connection, modern browser, word processing and spreadsheet software.
  • Candidates from Grandes Écoles Colleges are also eligible to apply if they are studying a cognate discipline in an ENSEA or EFREI Graduate School and are eligible to enter the final year (M2) of their programme.
  • All candidates must ultimately be approved by the director of the MSc (Mathematical Modelling and Self-Learning Systems) programme.

English Language Requirements

Applicants that are non-native speakers of the English language must meet the university approved English language requirements available here.

For applicants with qualifications completed outside of Ireland

Applicants must meet the required entry academic grade, equivalent to Irish requirements, please find our grades comparison by country here

International/non-EU applicants

For full details of the non-EU application procedure please visit our how to apply pages for international students. In UCC, we use the term programme and course interchangeably to describe what a person has registered to study in UCC and its constituent colleges, schools, and departments.

Not all courses are open to international/non-EU applicants, please check the fact file above.

For more information please contact the International Office.

Fees and Costs

The EU fee for this course is €8,130.

The Non-EU fee for this course is €18,130.


If your course required a deposit, that figure will be deducted from your second semester fee payment in January.

EU student fee payment:

Fees for EU students are payable in two equal instalments. First payment at registration in August and the second in January.

International student fee payment:

Fees for Non-EU Students are payable in one instalment in August.

How can I pay?

By Credit/Debit card online or by credit transfer.


If you have any questions on fee payment please email our Fees Office at fees@ucc.ie .

Non-EU Fees

The fee schedule for 2019/2020 is available here.

How Do I Apply

1. Choose Course

Firstly choose your course. Applicants can apply for up to two courses under one application. Details of taught courses are available on our online prospectus.

2. Apply Online

Once you have chosen your course you can apply online at the online application portal. Applicants will need to apply before the course closing date. There is a non-refundable €50 application fee for all courses apart from the Education - Professional Master of Education - (Secondary School/Post-Primary Teacher Training) which has a €100 application fee.

Applicants for the Postgraduate Diploma in Public Health Nursing must apply on the PAC website when the programme opens for applications.

3. Gather Supporting Documents

Scanned copies of the following documents will need to be uploaded to the online application portal in support of your application. Applicants may need to produce the original documents if you are accepted onto a course and register at UCC.

  • Original qualification documents listed on your application including transcripts of results from institutions other than UCC
  • Any supplementary items requested for your course.

Please log into the online application portal for more details.

4. Application processing timeline

Our online application portal opens for applications for most courses in early November of each year. Check specific course details. 

5. Rounds

For courses that are in the rounds system (Irish and EU applicants), please check the rounds closing dates here.

Questions on how to apply?

Please use our web enquiry form to contact us.

The closing date for non-EU applications is Extended until 31 July 2021

Apply Now

For queries regarding course content or timetables please contact