Program Overview

Mathematical Modelling - MSc

Brief Description

The University of Limerick's Master of Science (MSc) in Mathematical Modelling offers advanced training in applied mathematics, focusing on the formulation and solution of models, particularly differential equations, that describe real-world systems. The programme is closely aligned with MACSI, Ireland's leading research group in industrial applied mathematics, providing students with hands-on experience solving practical problems from industry, healthcare, and the sciences.

Programme Overview

During this programme, students 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.

Programme Content

• 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

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.

Entry Requirements

• 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
• Copy of birth certificate or passport
• English translation of 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

Fees

• EU: 8,200
• Non-EU: 20,800
• Annual fees are billed by semester. Once registered, students may be eligible to apply for a monthly payment plan.

Graduate Profile

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

Testimonial

"The programme helped me master the skills needed to effectively use tools for solving complex mathematical problems." - Mark Sorohan, MSc Mathematical Modelling