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

This course is available through the following application route(s)

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.

Download the UCD Science Graduate Taught Courses brochure (pdf)

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.## About This Course

Below is a list of all modules offered for this degree in the current academic year. Click on the module to discover what you will learn in the module, how you will learn and assessment feedback profile amongst other information.

Incoming Stage 1 undergraduates can usually select an Elective in the Spring Trimester. Most continuing undergraduate students can select up to two Elective modules (10 Credits) per stage. There is also the possibility to take up to 10 extra Elective credits.

Trimester | Credits | |||
---|---|---|---|---|

Stage 1 Options - A)8 of:40 credits must be taken |
MATH30030 | Advanced Linear Algebra | Autumn | 5 |

Stage 1 Options - A)8 of:40 credits must be taken |
MATH30090 | Metric Spaces | Autumn | 5 |

Stage 1 Options - A)8 of:40 credits must be taken |
MATH30360 | Measure Theory and Integration | Autumn | 5 |

Stage 1 Options - A)8 of:40 credits must be taken |
MATH40510 | Set Theory | Autumn | 5 |

Stage 1 Options - A)8 of:40 credits must be taken |
MATH30040 | Complex Analysis | Spring | 5 |

Stage 1 Options - A)8 of:40 credits must be taken |
MATH30120 | Topology | Spring | 5 |

Stage 1 Options - A)8 of:40 credits must be taken |
MATH30400 | Further Groups and Rings | Spring | 5 |

Stage 1 Options - A)8 of:40 credits must be taken |
MATH40480 | Probability Theory | Spring | 5 |

Stage 1 Options - B)5 of:25 credits to be taken |
ACM20030 | Computational Science | Autumn | 5 |

Stage 1 Options - B)5 of:25 credits to be taken |
ACM30220 | Partial Differential Equations | Autumn | 5 |

Stage 1 Options - B)5 of:25 credits to be taken |
ACM40290 | Numerical Algorithms | Autumn | 5 |

Stage 1 Options - B)5 of:25 credits to be taken |
ACM20150 | Vector Integral & Differential Calculus | Spring | 5 |

Stage 1 Options - B)5 of:25 credits to be taken |
ACM30200 | Mathematical Fluid Dynamics I | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
ACM20030 | Computational Science | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
ACM30190 | Dynamical Systems | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
ACM30220 | Partial Differential Equations | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
ACM40290 | Numerical Algorithms | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH20060 | Calculus of Several Variables | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH20150 | Graphs and Networks | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH20300 | Linear Algebra 2 for the Mathematical Sciences | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH40550 | Applied Matrix Theory | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH40710 | Galois Theory | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
STAT20110 | Introduction to Probability | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
STAT20230 | Modern Regression Analysis | Autumn | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
ACM20150 | Vector Integral & Differential Calculus | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
ACM30020 | Applied Analysis | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
ACM30140 | Numerical Methods for PDEs | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
ACM30200 | Mathematical Fluid Dynamics I | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
ACM41040 | GR and Gravitational Waves | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH20260 | The Mathematics of Google | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH20270 | Theory of Games | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH20310 | Groups, Rings and Fields | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH30250 | Cryptography: Theory & Practice | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH30370 | Markov Chains | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
MATH40830 | Maths of Quantum Computation | Spring | 5 |

Stage 1 Options - C) Min 4 of:Choose 20 credits option modules |
STAT20100 | Inferential Statistics | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM20050 | Classical Mechanics | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM30130 | Advanced Computational Science | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM30190 | Dynamical Systems | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM40010 | Electrodynamics & Gauge Theory | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM40070 | Math Fluid Dynamics II | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM40750 | Gen Relativity & Black Holes | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM41020 | Maths of Machine Learning | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
MATH20060 | Calculus of Several Variables | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
MATH20300 | Linear Algebra 2 for the Mathematical Sciences | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
MATH30090 | Metric Spaces | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
MATH30360 | Measure Theory and Integration | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
STAT20110 | Introduction to Probability | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
STAT20240 | Predictive Analytics | Autumn | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM20060 | Oscillations and Waves | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM30020 | Applied Analysis | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM30090 | Mathematical Biology | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM30140 | Numerical Methods for PDEs | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM30210 | Foundations of Quantum Theory | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
ACM41040 | GR and Gravitational Waves | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
MATH20310 | Groups, Rings and Fields | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
MATH30040 | Complex Analysis | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
MATH30120 | Topology | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
MATH30250 | Cryptography: Theory & Practice | Spring | 5 |

Stage 1 Options - D)7 of:35 option credits must be taken |
STAT20100 | Inferential Statistics | Spring | 5 |

**Graduate Profile**

**Dr Alison Sneyd**

After completing a degree in Mathematical Studies at UCD, I decided to do the HDip in Mathematical Science because it gave me the qualification I needed to pursue a PhD in mathematics. The HDip increased my understanding of a wide variety of topics in mathematics and was very beneficial to my future studies.

EU fee per year - € 8480

^{}

nonEU fee per year - € 15030

^{}

HDip Mathematical Science (T086) Part Time

EU fee per year - € 4890

^{}

nonEU fee per year - € 9700

^{}

****Fees are subject to change*

Tuition fee information is available on the UCD Fees website. Please note that UCD offers a number of graduate scholarships for full-time, self-funding international students, holding an offer of a place on a UCD graduate degree programme. For further information please see International Scholarships.

• 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.

School of Mathematics and Statistics Application Process FAQ

Full Time option suitable for:

Domestic(EEA) applicants: **Yes**

International (Non EU) applicants: **Yes**

This programme is aimed at graduates whose level of mathematical training is high, but below that of the UCD BSc Degree Honours in Mathematics or Applied and Computational Mathematics, and who have demonstrated mathematical flair. It enables them to reach in one year a level of mathematical knowledge equivalent to that of BSc Honours graduates.

## How to Apply

**General application route(s) for Irish/UK/EU applicants* for International (non-EU) applicants* to Mathematical Science:**

ROWCLASS | Apply to | Application Type | ||
---|---|---|---|---|

showAudience-audienceEU showAudience-audienceInt | T011Mathematical Science Higher Diploma |
Full-Time Commencing September 2024 |
Graduate Taught | Closed |

showAudience-audienceEU showAudience-audienceInt | T086Mathematical Science Higher Diploma |
Part-Time Commencing September 2024 |
Graduate Taught | Not available to International applicantsClosed |

showAudience-audienceEU showAudience-audienceInt | T011Mathematical Science Higher Diploma |
Full-Time Commencing September 2025 |
Graduate Taught | Apply |

showAudience-audienceEU showAudience-audienceInt | T086Mathematical Science Higher Diploma |
Part-Time Commencing September 2025 |
Graduate Taught | Not available to International applicantsApply |

** you can change options at the top of the page*