Entrance requirements |
2HC3 + 4OD3, English, Irish, OD3/HD3 in Mathematics, OD3/HD3 in a Science subject (i.e. Agricultural Science, Biology, Chemistry, Physics, or Physics with Chemistry) |
Duration |
4 years |
Points 2009 |
350 |
FETAC link |
Yes |
Course Outline |
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First Year - Differential Calculus - Integral Calculus - Linear Algebra - Data Analysis |
|
Second Year
Pure Mathematics
- Linear Algebra - Introduction to Statistics - Calculus - Introduction to Analysis |
Applied Mathematics - Linear Algebra - Introduction to Statistics - Calculus - Mathematical Computing |
Third Year Pure Mathematics - Real Analysis - Complex Analysis - Groups - Rings and Fields |
Applied Mathematics - Applicable Algebra - Ordinary Differential Equations and Modelling - Cryptography - Operations Research - Coding Theory - Risk Analysis |
Fourth Year Pure Mathematics: Single Honours
- Topology - Galois Theory - Complex Analysis - Differential Geometry - Groups - Number Theory - Linear Models - Measure and Integral - Probability - Statistical Inference - Applied Probability - Categorical Data Analysis - Introduction to Programming - Linear Analysis - Manifolds - Categorical Data Analysis - Codaigh agus Córais Dhinimiciúla Réadacha |
Applied Mathematics: Single Honours Sample Module Options: - Partial Differential Equations and Modelling - Introduction to Programming - Mathematical Biology - Graph Theory - Analysis - Numerical Analysis - Linear Models - Probability - Applied Probability - Categorical Data Analysis - Statistical Inference - Codaigh agus Córais Dhinimiciúla Réadacha |
Mathematics is one of the purest forms of thought, but its relevance to our everyday lives is fundamental. While its origins date back to ancient Greece, Mathematics continues to underpin key areas of human endeavour and industry, from engineering to construction to economics to software development to space travel. All of the sciences are also deeply reliant on Mathematics.
For many, the appeal of Mathematics – and what makes it unique – is its basis on proof. Unlike those working in any other discipline, mathematicians are able to make statements with absolute certainty. Once a theory is proved, it is proved forever, and cannot be refuted. Pythagoras' famous theorem for measuring the sides of right-angled triangles is as true today as it was when he formulated it in the 6th Century BC.
As a student, you will progress from the foundations of school maths all the way to the threshold of ground-breaking new research in the field. You will gain a firm grounding in the key areas of Mathematics, before progressing to more advanced knowledge and skills, including practical work with computer algebra systems. You will begin to develop the ability to invent, criticise and perfect Mathematics for yourself. You will learn to think hard and rigorously about questions and to solve new problems – invaluable skills that can be transferred to any area of life. You will also advance right to the cutting edge of current research and its applications in modern science and technology.
Course Structure
Mathematics can be taken as a Single Honours or Double Honours Bachelor of Science degree. You can opt to study either Pure Mathematics or Applied Mathematics.
All First Year Science students must take Mathematics and three other subjects. In Second Year, students take Mathematics and two of their First Year subjects. In Third Year, students take Pure Mathematics or Applied Mathematics and one of their Second Year subjects. In Fourth Year, Pure Mathematics or Applied Mathematics is taken at Single or Double Honours level. Double Honours students take Mathematics and one of their Third Year subjects. Single Honours students take Mathematics only.
Career Options
There has always been a high demand for well-trained mathematicians. A degree in Mathematics not only provides specialist knowledge, it also trains graduates to think logically and clearly. Occupations where these skills are highly sought include finance and banking, insurance, the Civil Service, teaching, industrial and commercial management, administration, and technical, scientific and engineering work in industry and in research and development.
Many occupations directly use skills that are acquired during the study of Mathematics. Examples include systems analysis, aerospace research, electronic engineering, the scientific Civil Service. Statisticians can also find employment in industry, medicine, market research or government service. Many students go on to work in institutes of technology and universities around the country. Students of Applied Mathematics can be found working or conducting research in fields such as science, technology, engineering, economics, computing, telecommunications, banking, finance, and internet and military security.
Postgraduate Options
Many students choose to combine the further study of Mathematics with a vocational area. Examples include the MCompSci, HDipIT, MSc/PhD in Statistics, MMgmtSci., MSc in Computational Mathematics, MSc in Applied Mathematics, MSc in Computer Science, and MEconSci.
Department of Mathematics |
Tel: 01 708 3914 Fax: 01 708 3913 Email: admin@maths.nuim.ie http://www.maths.nuim.ie |