Mathematical Science

This Higher Diploma in Mathematical Science offers the opportunity for graduates with a degree in a subject other than mathematics to achieve a more advanced mathematical training. Taking the Higher Diploma in Mathematical Science will allow you to complete the core components of a BSc Honours Degree in Mathematics or Mathematical Science. The strongest students can continue their mathematical education, and pursue a PhD in Mathematics.



The UCD School of Mathematics and Statistics is a dynamic, multidisciplinary school spanning the disciplines of Mathematics, Applied and Computational Mathematics, Statistics and Actuarial Science. The School engages in research of international renown and teaches students across all disciplines.



The UCD School of Mathematics and Statistics is a dynamic, multidisciplinary school spanning the disciplines of Mathematics, Applied and Computational Mathematics, Statistics and Actuarial Science.



What Will I Learn?

- Analyse 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

- Carry out research into a specific topic, including survey and synthesize the known literature

- Confidently analyse and draw information from large quantities of data

- Demonstrate an in-depth understanding of mathematics and statistics

- 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

- Prepare a written report on technical mathematical content in clear and precise language

- 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 Options - A) 8 of:

40 credits must be taken

MATH30030 Advanced Linear Algebra Autumn 5

MATH30090 Metric Spaces Autumn 5

MATH30360 Measure Theory and Integration Autumn 5

MATH40510 Set Theory Autumn 5

MATH30040 Complex Analysis Spring 5

MATH30120 Topology Spring 5

MATH30400 Further Groups and Rings Spring 5

MATH40480 Probability Theory Spring 5



Stage 1 Options - B) 5 of:

25 credits to be taken

ACM20030 Computational Science Autumn 5

ACM30220 Partial Differential Equations Autumn 5

ACM40290 Numerical Algorithms Autumn 5

ACM20150 Vector Integral & Differential Calculus Spring 5

ACM30200 Mathematical Fluid Dynamics I Spring 5



Stage 1 Options - C) Min 4 of:

Choose 20 credits option modules

ACM20030 Computational Science Autumn 5

ACM30190 Dynamical Systems Autumn 5

ACM30220 Partial Differential Equations Autumn 5

ACM40290 Numerical Algorithms Autumn 5

MATH20060 Calculus of Several Variables Autumn 5

MATH20150 Graphs and Networks Autumn 5

MATH20300 Linear Algebra 2 for the Mathematical Sciences Autumn 5

MATH40550 Applied Matrix Theory Autumn 5

MATH40710 Galois Theory Autumn 5

STAT20110 Introduction to Probability Autumn 5

STAT20230 Modern Regression Analysis Autumn 5

ACM20150 Vector Integral & Differential Calculus Spring 5

ACM30020 Applied Analysis Spring 5

ACM30140 Numerical Methods for PDEs Spring 5

ACM30200 Mathematical Fluid Dynamics I Spring 5

ACM41040 GR and Gravitational Waves Spring 5

MATH20260 The Mathematics of Google Spring 5

MATH20270 Theory of Games Spring 5

MATH20310 Groups, Rings and Fields Spring 5

MATH30250 Cryptography: Theory & Practice Spring 5

MATH30370 Markov Chains Spring 5

MATH40830 Maths of Quantum Computation Spring 5

STAT20100 Inferential Statistics Spring 5



Stage 1 Options - D) 7 of:

35 option credits must be taken

ACM20050 Classical Mechanics Autumn 5

ACM30130 Advanced Computational Science Autumn 5

ACM30190 Dynamical Systems Autumn 5

ACM40010 Electrodynamics & Gauge Theory Autumn 5

ACM40070 Math Fluid Dynamics II Autumn 5

ACM40750 Gen Relativity & Black Holes Autumn 5

ACM41020 Maths of Machine Learning Autumn 5

MATH20060 Calculus of Several Variables Autumn 5

MATH20300 Linear Algebra 2 for the Mathematical Sciences Autumn 5

MATH30090 Metric Spaces Autumn 5

MATH30360 Measure Theory and Integration Autumn 5

STAT20110 Introduction to Probability Autumn 5

STAT20240 Predictive Analytics Autumn 5

ACM20060 Oscillations and Waves Spring 5

ACM30020 Applied Analysis Spring 5

ACM30090 Mathematical Biology Spring 5

ACM30140 Numerical Methods for PDEs Spring 5

ACM30210 Foundations of Quantum Theory Spring 5

ACM41040 GR and Gravitational Waves Spring 5

MATH20310 Groups, Rings and Fields Spring 5

MATH30040 Complex Analysis Spring 5

MATH30120 Topology Spring 5

MATH30250 Cryptography: Theory & Practice Spring 5

STAT20100 Inferential Statistics Spring 5

• The mathematics stream of this programme is especially intended for applicants with a degree in mathematical studies, economics and finance, a three-year honours degree in mathematics or a cognate discipline with a high mathematical content. An upper second class honours or the international equivalent is required.



• The applied and computational mathematics stream of this programme is especially intended for science and engineering graduates who have scored highly in their mathematics, applied mathematics or mathematical physics courses. An upper second class honours or the international equivalent is required.



• Other graduates who believe that their mathematical training provides suffi cient background to cope with the programme may apply for entry to the Programme Coordinator.



• 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. Delivery: On Campus.

Next Intake: September 2025.