Mathematics (MMS1)

Mathematics is one of the degree subjects available through the Mathematics stream in the common entry Science course. Students study similar modules for all degree subjects in the Mathematics stream in first year and will study modules for a minimum of two degree subjects in second year. At the end of second year, students choose their degree major. Assuming students meet all the academic requirements in first and second year, students are guaranteed a degree subject from the stream they are studying in second year. We do our best to ensure that students go on to study their top degree subject choice. As we offer plenty of degree subjects in each stream, students have a number of similar degree subjects to choose from as their degree major. For more information on choosing a degree major at the end of Second Year, visit the Mathematics stream page.

This is a sample set of modules that a Mathematics student could study each year in UCD. 

First Year
Scientific Enquiry • Introduction to Applied & Computational Mathematics • Calculus in the Mathematical and Physical Sciences • Applications of Differential Equations • Linear Algebra in the Mathematical and Physical Sciences • Statistical Modelling • Mathematical Analysis • Numbers & Functions • Mathematical Analysis • Optional Modules • Elective Module 

Second Year
Computational Science • Calculus of Several Variables • Linear Algebra in the Mathematical Sciences • Introduction to Probability • Vector Calculus • Groups, Rings and Fields • Inferential Statistics • + modules for 1 other Subject • Elective Modules 

Third Year
Advanced Linear Algebra • Metric Spaces • Measure Theory • Complex Analysis • Topology • Further Groups & Rings • Option Modules • Elective modules 

Fourth Year
Research Project • Differential Geometry • Functional Analysis • Galois Theory • Probability Theory • Number Theory • Mathematics of Quantum Computation • Option Modules

Timetables & Assessment
Each student will have their own timetable based on their individual module selection. This is a full-time course and classes may include lectures, practicals and tutorials, depending on the subjects. Students will also be expected to study independently (autonomous student learning). Assessment varies with each module but may comprise continuous assessment of practicals, written exams and online learning activities.

Below is a list of all modules offered for this degree in the current academic year. Click on the module to discover what you will learn in the module, how you will learn and assessment feedback profile amongst other information.

Incoming Stage 1 undergraduates can usually select an Elective in the Spring Trimester. Most continuing undergraduate students can select up to two Elective modules (10 Credits) per stage. There is also the possibility to take up to 10 extra Elective credits.

Students may apply to study abroad for a trimester in third year in partner institutions internationally.

Students have the opportunity to complete a Professional Placement module worth 5 credits. This module provides students with an opportunity to undertake a placement in industry (6-10 weeks) in the summer following Third Year.

Students in recent years have completed internships in DIAS, Deloitte and AIB.

Students can also apply to complete Undergraduate Summer Research Projects in the UCD School of Mathematics and Statistics in the summer after Third Year.

Placements are secured on a competitive basis and are subject to change each year.

More information about the internship module and application process.

Each year sees new applications of sophisticated mathematical models and procedures in insurance and actuarial services, data analytics, the stock market, banking and industry. Employers in all of these areas seek mathematics graduates for their critical thinking and problem-solving skills. 

Our recent graduates are working in many diverse areas, including actuarial science, banking and financial services, civil service, coding and cryptography companies, IT industry, meteorology and research. 

Opportunities for further study include MSc and PhD programmes in the mathematical sciences in Ireland and abroad, leading to research positions in universities or industry. 

By studying an undergraduate degree in the Science programme, you will be joining a global community of scientists and will be taught by world-class researchers at the forefront of research in one of the most innovative and diverse programmes in Ireland, encompassing biology, sustainability, chemistry, physics, earth sciences, mathematics and computer science. Faculty who teach on the Science programme draw on their research to provide an inclusive and equitable education for scientists who will be leaders and innovators in a range of industries and research institutes working towards a sustainable and equitable future. 

The curriculum is informed by the following research:

• Exploring and understanding the processes that drive and can mitigate and enable adaptation to global change from evolutionary, environmental and social perspectives at levels ranging from molecular and genetic to individual, ecosystem and landscape

• Translating fundamental discoveries to a greater understanding of health and disease, with the ultimate aim of informing novel drug discovery

• Performing fundamental and applied research with a focus on current societal challenges including the energy transition, environmental change, geohazards and access to natural resources

The College of Science offers a range of degree subjects within the Science and Sustainability common entry courses that embed sustainability principles and are working towards the following Sustainable Development Goals (SDGs):

• Good Health and Well-being (SGD 3)
• Quality Education (SDG 4)
• Affordable and Clean Energy (SGD 7)
• Industry, Innovation and Infrastructure (SDG 9)
• Sustainable Cities and Communities (SGD 11)
• Responsible Consumption and Production (SGD 12)
• Life Below Water (SDG 14)
• Life on Land (SDG 15)

The programmes at UCD are designed to equip students with the best education in their chosen field, while at the same time embedding the UN’s sustainable development goals (SDGs) in their education where most relevant.

"I decided to study at UCD due to its beautiful campus, unparalleled facilities, and the ability to tailor my degree to what interested me most. My favourite part of studying Mathematics is learning to look at a complicated logical problem and slowly teasing out the solution through different approaches. The variety in assessment of projects, assignments and exams helped ensure I understood topics in theory and practice. Being involved in the Literary & Historical society and the Women+ in STEM society has helped me meet an incredible group of friends and has aided me in developing a wide variety of extracurricular skills. After I graduate, I hope to work in mathematical research working on cryptography."

Ellen Healy, Student