Mathematics is a universal language and a tool of fundamental importance in the physical and social sciences, engineering, technology, computer science, statistics, finance, data analytics and many other fields. The subject is thousands of years old and yet thoroughly modern. In the past 100 years the growth of mathematics has been spectacular, stimulated not only by the needs of science, technology and commerce, but also by intellectual challenges provided by the discipline itself. The interplay between mathematics and neighbouring subjects continues to yield many fascinating problems that require creative solutions. If you find mathematics interesting and enjoyable then this degree subject could be for you.

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. 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.

For detailed information on subject content click here

You may be interested in the following Blog posts: Why I chose Maths in UCD.

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

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 have found work in diverse areas, including:

• Actuarial science
• Banking and financial services
• Civil service
• Coding and cryptography companies
• IT industry
• Meteorology
• Research

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

• Level 5/6 QQI-FET
  
• Open Learning Entry Route
• Mature Entry Route
• DARE Entry Route
  
• HEAR Entry Route
  
• University Access
  

Dr Rupert Levene
UCD School of Mathematics & Statistics
Belfield, Dublin 4

Email: askscience@ucd.ie