Mathematical Modelling - MSc

During this programme, you will:

• Apply mathematical theory to real-world problems across industry, medicine, and the sciences.

• Engage with cutting-edge applied mathematics research through MACSI-led projects.

• Prepare for interdisciplinary careers or advanced academic research in mathematical modelling.

• Build mathematical models for environmental, biological and physiological systems.

Key information:

• Complete full-time in one year

• Option to complete part-time over two years after consultation with the Course Director

• Delivered on campus

• Modules taught during autumn and spring semesters

• Submit research project by mid August which may focus on problems that arise through MACSI’s connections with industry

• Full-time students take 2 core modules and 3 elective modules in the autumn semester and 3 core modules and 2 elective modules in the spring semester

You will learn through a blend of:

• Lectures, workshops, and hands-on activities

• Reflective practice and guided research

• Regular feedback from faculty and peers

Year 1

Autumn Semester

Core modules:

• Advanced Methods I (MS6011) provides a review of advanced methods to analyse, evaluate and solve problems.

• Scientific Computation (MS6021) introduces numerical techniques and high-level programming skills that enable students to employ computational techniques in other fields of science and engineering

Electives – choose 3:

• Fundamentals of Continuum Mechanics (ME6001)
• Mathematics of Natural Phenomena (MS4627)
• Perturbation Techniques and Asymptotics (MS4407)
• Numerical Partial Differential Equations (MS4008)
• Fundamentals of Financial Mathematics (MS4027)
• Fundamentals of Statistical Modelling (MS6061)
• Stochastic Processes (MS4217)
• Statistical Inference for Data Science (MS6051)
• Introduction to Fluid Mechanics (MA4617)

Spring Semester

Core modules:

• Advanced Methods II (MS6012) enables students to apply advanced methods to solve partial differential equations.

• Mathematical Geoscience (MA6002) enables students to build mathematical models for environmental systems.

• Mathematical Biology and Physiology (MA6012) enables students to build mathematical models for biological and physiological systems.

Electives – choose 2

• Inverse Problems for Partial Differential Equations (MS6052)
• Dynamical Systems (MS4018)
• Mathematical Modelling (MS4408)
• Stochastic Differential Equations for Finance (MS4028)
• Mathematical & Statistical Models of Investment (MS4528)
• Time Series Analysis (MS4218)
• Statistical Learning (MS6022)
• Networks and Complex Systems (MS6032)

Summer Semester

• Project (MS6003) synthesises major concepts and ideas encountered in earlier taught modules in a substantial document, written to a professional standard.

Books and journal articles needed for the course will be available online through the UL Glucksman Library.

For more information on each module, you can search the faculty, school and module code on UL’s Book of Modules

• Applicants should hold a bachelor’s degree (NFQ Level 8) with at least a second-class honour, grade 2 (2:2) in mathematics or a related numerate discipline.

International students:

• For details on country-specific qualifications visit postgraduate entry requirements for international students .

Checklist of documents:

• *Academic transcripts and certificates
  • UL graduates only need to provide their student ID.
• Copy of your birth certificate or passport
• English translation of your qualifications and transcripts
• Personal statement
• Two written academic references

English Language:

• English Language Competency certificate
• For details on accepted language qualifications visit English Language Requirements

Guidelines on Completing your Application

• To make sure we can review your application quickly, please:
  • Upload all documents. Your application can’t be reviewed until we have all the documents on the checklist.
  • Title the documents you are uploading. For example, "Personal Statement", "Undergraduate Transcript", "Postgraduate Transcript", "English Language Certificate" etc.
• *If you are waiting to graduate, submit your application with the documents you have to date, you don’t need to have finished final exams before applying.

EU - €7,900

Non-EU - €20,100

Annual fees are billed by semester. Once registered, students may be eligible to apply for a monthly payment plan.

Further information on fees and payment of fees is available from the Student Fees Office website. All fee related queries should be directed to the Student Fees Office (Phone: +353 61 213 007 or email student.fees.office@ul.ie ).

Funding

Find further information on funding and scholarships.

This course can lead to the following sectors and careers:

• Financial services
• Information and communication technologies
• Engineering
• Scientific research
• Data analysis
• Research and development
• Mathematics education

Still Curious?

The team regularly host and take part in webinars to support future students. If you would like to learn more or ask questions at an online information session, click below.

Online Information Sessions