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.

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. 

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