University College Dublin

Graduate Taught (level 8 nfq, credits 60)


The HDip Mathematical Studies is for those interested in furthering their study of mathematics, starting from a small exposure to university-level mathematics. It contains a mix of modules on topics including algebra, analysis, geometry, history of mathematics and applicable mathematics.


This programme is for you if you have a passion for mathematics, for problem solving and for deep understanding of the structures which underlie much of everyday experience.


Download the course brochure (pdf)

The programme covers the mathematics necessary to qualify the student to teach mathematics to Leaving Certificate level when combined with a Professional Master of Education (PME).

Foundation for more advanced study of mathematics


Who should apply?


Full Time option suitable for:


Domestic(EEA) applicants: Yes

International (Non EEA) applicants currently residing outside of the EEA Region. Yes


Part Time option suitable for:


Domestic(EEA) applicants: Yes

International (Non EEA) applicants currently residing outside of the EEA Region. No


The programme is intended for those graduates who have studied a certain amount of mathematics in their degree and would like to deepen their knowledge of mathematics. The programme may be of particular benefit to teachers or potential teachers who would like to include mathematics among the subjects that they are eligible to teach at Leaving Certificate Level.


Vision & Values Statement

The programme is intended for those graduates who have studied a certain amount of mathematics in their degree and would like to deepen their knowledge of mathematics. The programme may be of particular benefit to teachers or potential teachers who would like to include mathematics among the subjects that they are eligible to teach at Leaving Certificate Level.The programme will give students the opportunity to gain a deep understanding of the concepts of modern mathematics, and a mastery of the associated skills and technologies. We expect our students to become autonomous inquisitive learners capable of formulating and creatively solving relevant problems in the language of mathematics. Our graduates will be in demand by employers and academic research institutes for their ability to use the tools they have learned to explain, describe and predict. We value students who are motivated to find the underlying mathematical causes and reasons for observations and patterns. We aim to provide a teaching and learning environment that develops confidence and independence through a wide variety of interactive formats, both inside and outside the classroom.


Programme Outcomes


Demonstrate an in-depth understanding of mathematics and its applications


Use the language of logic to reason correctly and make deductions


Approach problems in an analytical, precise and rigorous way


Explore and manipulate abstract concepts


Apply mathematical reasoning and techniques to formulate and solve problems


Model real-world problems in a mathematical framework


Analyze and interpret data, find patterns and draw conclusions


Use the power of modern technology to augment mathematical and statistical problem solving


Work independently and as part of a team


Give oral presentations of technical mathematical material at a level appropriate for the audience


Analyze and interpret data, find patterns and draw conclusions


Apply mathematical reasoning and techniques to formulate and solve problems


Approach problems in an analytical, precise and rigorous way


Demonstrate an in-depth understanding of mathematics and its applications


Explore and manipulate abstract concepts


Give oral presentations of technical mathematical material at a level appropriate for the audience


Model real-world problems in a mathematical framework


Use the language of logic to reason correctly and make deductions


Use the power of modern technology to augment mathematical and statistical problem solving


Work independently and as part of a team