# Mathematical Science

HDip Mathematical Science

Graduate Taught (level 8 nfq, credits 60)

Taking the Higher Diploma in Mathematical Science will allow you complete the core components of a BSc Honours Degree in Mathematics or Mathematical Science. This course would equip you with the necessary background to pursue an MSc degree in Mathematics or Mathematical Sciences.

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.

Who should Apply?

Full Time option suitable for:

Domestic(EEA) applicants: Yes

International (Non EEA) applicants currently residing outside of the EEA Region. 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 and thus, in particular, qualifies them to enter the MSc degree in Mathematics or Mathematical Sciences.

Vision & Values Statement

This programme is aimed at graduates whose level of mathematical training is high, but below that of a four-year honours BSc degree in the Mathematical Sciences, 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 and thus, in particular, qualifies them to enter the MSc degree in Mathematics or Mathematical Sciences. The programme will give students the opportunity to gain a deep understanding of the concepts of modern mathematics and statistics, 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 and statistics. 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 statistics

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

Confidently analyze and draw information from large quantities of data

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

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

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

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

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

## Entry requirements

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

## Subjects taught

Stage 1 - Option

Computational Science ACM20030

Classical Mech. & Special Rel. ACM20050

Oscillations in Mech Systems ACM20060

Vector Integral & Differential Calculus ACM20150

Analytical Mechanics ACM30010

Advanced Mathematical Methods ACM30020

Dynamical Systems ACM30190

Foundations of Fluid Mechanics ACM30200

Foundations of Quantum Mechanics ACM30210

Partial Differential Equations ACM30200

Electrodynamics & Gauge Theory ACM40010

Environmental Fluids ACM40070

Differential Geometry and Topology in Physics ACM40090

Numerical Algorithms ACM40290

Calculus of Several Variables MATH20060

Graphs and Networks MATH20150

Linear Algebra 2 for the Mathematical Sciences MATH20300

Groups, Rings and Fields MATH20310

Advanced Linear Algebra MATH30030

Functions of One Complex Variable MATH30040

Metric Spaces MATH30090

Introduction to Topology MATH30120

An Intro to Coding Theory MATH30180

Fourier Analysis MATH30350

Measure Theory and Integration MATH30360

Galois Theory MATH40080

Group Theory MATH40410

Stochastic Analysis MATH40480

Inferential Statistics STAT20100

Probability Theory STAT20110

Predictive Analytics I STAT30240

## Credits

60

## Duration

1 year full-time.

## Fees

HDip Mathematical Science (T011) Full Time

EU fee per year - € 7210

nonEU fee per year - € 13215

HDip Mathematical Science (T086) Part Time

EU fee per year - € 4150

nonEU fee per year - € 8535

***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.

## Enrolment dates

Next Intake:2020/2021 September

## Post Course Info

Careers & Employability

Numeracy, organisation and problem-solving skills are required in areas such as the trading floor of an investment bank, the mathematics classroom, predicting the weather and in the insurance industry. Some of the careers chosen by our graduates include working as researchers in mathematics (both in academia and industry), actuarial consultants, risk analysts, meteorologists, IT consultants, and second- and third-level teaching.

Prospective employers include Aquamarine Power, Alcatel-Lucent, Bureau Veritas, Campbell Scientific, IBM, IFSC, Intel, Google, Lloyds, Marine Institute, Met Éireann, Microsoft, Nokia, Norkom, Numerica Corporation, OpenHydro, Paddy Power, Phillips, RIM, Simula Research and the Tyndall Institute.