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Mathematical Modelling

Overview

This course will provide training in techniques of applied mathematics, and will focus largely on mathematical models of real world processes, their formulation in terms of differential equations, and methods of solutions, both numerical and analytical, of the models. A focus of the course will be an emphasis on practical problems which arise in industry, commerce, medicine, as well as the environmental and life sciences. In particular, there will be a close alliance between the course and research problems in industrial applied mathematics, which is a principal research strand underpinning MACSI research.

Programme Aims:
•To provide a first year of intensive taught courses as part of a structured graduate programme for MACSI postgraduates and to enable graduates of engineering and other disciplines to redirect their training towards mathematical modelling.

A year two scholarships to cover Stipend and fees, will be awarded to competitive applicants.

Entry requirements

The minimum entry requirement is a 2:2 undergraduate degree Level 8 in mathematics, or any related numerate discipline. In addition, a number of scholarships will be available to suitably qualified candidates. Preference may be given to early applicants.

WHAT TO INCLUDE WITH YOUR APPLICATION:
•Qualification transcripts and certificates
•English language qualification if English is not your first language
•Certified English translations of your transcripts/certificates where the originals are in a language other than English.
•A copy of your birth certificate (long document).

English Language Requirements
Applicants whose first language is not English must provide evidence of either prior successful completion of a degree qualification taught through the medium of English or meet one of the criteria below (no longer than two years prior to application):

Acceptable English Language qualifications include the following:
•Matriculation examinations from European countries where English is presented as a subject and an acceptable level is achieved
•Irish Leaving Certificate English –Ordinary Level Grade D or above
•TOEFL – 580 (paper based) or 90 (internet based)
•IELTS – Minimum score of 6.5 with no less than 6 in any one component.
•English Test for English and Academic Purposes (ETAPP) – Grade C1
•GCE 'O' level English Language/GCSE English Language – Grade C or above
•University of Cambridge ESOL –Certificate of Proficiency in English - Grade C / Certificate in Advanced English - Grade A
•GCE Examination Boards – Oxford Delegacy of Local Examinations – Grade C / Cambridge Local Examinations Syndicate – School Certificate Pass 1-6 / University of London Entrance and School Examinations Council – School Certificate Pass 1-6

Results in examinations other than those listed above may also be accepted as meeting our English language requirements. Contact the International Education Division for advice.

Duration

1 year full-time

Careers or further progression

Financial services including accounting, international banking, lending analysis and investment analysis; information and communication technologies; engineering industries (e.g. environmental, electronics, aerospace and automobile); scientific research (e.g. medical, social, economic, engineering, computing, industrial, fisheries, biological and mathematical); data analysis including market research and demographics; manufacturing (including production planning and quality control), research and development, especially in the pharmaceutical and biotechnology industries; mathematics education (teaching and lecturing).

Further enquiries

Director for Postgraduate Studies in Mathematics,
Dr James Gleeson,
Tel. 061-202634
Fax. 061-334927
Email: james.gleeson@ul.ie

For further information please visit www.maths.ul.ie or www.macsi.ul.ie.

Subjects taught

Programme Content

The first two semesters will be examined on coursework from both a mandatory core and a suite of optional courses from which the student can choose. The coursework will be followed by the preparation of a dissertation over the summer months under close supervision. The dissertation will be at research level, and may focus on a problem that arises through MACSI's connections with industry. The MSc can also be taken part time over a 2 or 3 year period, after consultation with the Course Director. This course will provide training in applied mathematics techniques and will focus on mathematical models of real world processes, their formulation in terms of differential equations and methods of solution – both numerical and analytical. Practical problems will be drawn from the industrial, commercial, medical, environmental and life science domains.

Autumn:
•Advanced Methods I
•Scientific Computation

3 elective modules to be chosen from:
•Fundamentals of Continuum Mechanics
•Applied Analysis
•Mathematics of Natural Phenomena
•Perturbation Techniques and Asymptotics
•Numerical Partial Differential Equations
•Fundamentals of Financial Mathematics
•Operations Research 2
•Advanced Data Analysis
•Stochastic Processes
•Statistical Inference
•Introduction to Fluid Mechanics

Spring
•Advanced Methods II
•Mathematical Geoscience
•Mathematical Biology and Physiology.

2 elective modules to be chosen from:
•Dynamical Systems
•Mathematical Modelling
•Stochastic Differential Equations for Finance
•Mathematical & Statistical Models of Investment
•Time Series Analysis
•Optimisation
•Advanced Data Modelling.

Summer
•Project*

*The project should be submitted by mid-September. The dissertation will be at research level, and often (though not inevitably) be on a problem which arises through MACSI's connections with industry.

Comment

This MSc provides training in techniques of applied mathematics, and focuses mainly on mathematical models of real-world processes, their formulation in terms of differential equations, and methods of solutions, both numerical and analytical, of the models. The main emphasis of the course is on practical problems which arise in industry, commerce, medicine, and in the environmental and life sciences.

Application date

Application Deadlines

Taught Programmes
Applications are accepted on an ongoing basies but specific programmes have individual closing dates which can be found on our on-line prospectus

Research Programmes
Applications are accepted on an ongoing basis for research programmes. The applications for Research programmes are review each month by the Postgraduate Research Committee.

Enrolment and start dates

Start Date: 10/Sep/2018

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