This is a sample pathway for a degree in Mathematics. As well as the topics below, students have the opportunity to take additional modules in graphs and networks, game theory, financial mathematics, data analysis, the mathematics of machine learning, the history of mathematics and mathematical research.

First Year

Mathematics • Statistics • Applied & Computational Mathematics • Optional Science modules • Elective module

Second Year

Several-variable & Vector Calculus • Linear Algebra • Computational Science • Groups, Rings & Fields • + 1 other Science subject • Elective modules

Third Year

Advanced Linear Algebra • Metric Spaces • Number Theory • Complex Analysis • Cryptography • Measure Theory • Elective modules

Fourth Year

Group Theory • Functional Analysis • Ring Theory • Probability Theory • Combinatorics • Topology • Set Theory • Differential Geometry • Mathematics of Quantum Computation

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.

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 executive and administrative grades
• Coding and cryptography companies
• IT industry
• Meteorology
• 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.

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

"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