Mathematical Studies

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. 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. If you have already been exposed to a limited amount of University-level mathematics and would like to find a path into teaching or more advanced studies in the subject, then this programme provides the necessary bridge.



After completing the Higher Diploma Mathematical Studies you will achieve a level of competence equivalent to that of a Mathematics major in a three-year honours degree. 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).



- 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).



What Will I Learn?

- 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

Stage 1 Core Modules

MST20010 Algebraic Structures Autumn 5

MST20070 Multivariable Calculus with Applications Autumn 5

MST30050 Complex Analysis Autumn 5

MATH20270 Theory of Games Spring 5

MST20040 Analysis Spring 5

MST20050 Linear Algebra II Spring 5

MST30040 Differential Equations Spring 5

MST30070 Differential Geometry Spring 5



Stage 1 Options - A) 2 of:

Choose two of the following:

MATH20150 Graphs and Networks Autumn 5

MATH30340 Peer-Assisted Tutoring Autumn 5

MATH40810 Mathematics Pedagogy for Classroom Practice Autumn 5

MST30020 History of Mathematics Autumn 5

STAT10060 Statistical Modelling Spring 5



Stage 1 Options - B) 1 of:

Choose 1 of the following:

STAT20070 Data Modelling for Science Autumn 5

STAT10050 Practical Statistics Autumn and Spring (separate) 5



Stage 1 Options - C) 1 of:

Choose one of the following

MATH20070 Optimization in Finance Spring 5

MATH30250 Cryptography: Theory & Practice Spring 5

STAT20060 Statistics & Probability Spring 5

This programme is intended for applicants who hold a lower second class honours or higher undergraduate degree with at least 10 credits of university-level mathematics, including a course in calculus and a course in linear algebra.



Applicants whose first language is not English must also demonstrate English language proficiency of IELTS 6.5 (no band less than 6.0 in each element), or equivalent.



You may be eligible for Recognition of Prior Learning (RPL), as UCD recognises formal, informal, and/or experiential learning. RPL may be awarded to gain Admission and/or credit exemptions on a programme. Please visit the UCD Registry RPL web page for further information. Any exceptions are also listed on this webpage. https://tinyurl.com/2ae2ffax

1 year full-time (T172), 2 years part-time (T173).

Next Intake: September 2025.