About Mathematics, BA (Hons) - at Trinity College Dublin
Mathematics can be studied either in combination with one other subject (TR001) as part of a two-subject moderatorship (TSM) programme or as a single honor degree (TR031). When studied in combination typically both subjects are studied for three years and one subject only is studied in the fourth year. However when mathematics is combined with one of economics, geography or philosophy both subjects may be studied for each of the four years. For allowed subject combinations please see the TSM grid.
Single honor and TSM students follow the same mathematics courses. However, while TSM students cover all the principal areas, the workload is less intense than that of the single honor programme.
Is this the right course for me?If you have a natural ability in mathematics and are genuinely interested in applying mathematical solutions to problem solving, then this course will suit you well. It is also a great start for a career in actuarial work, finance or accounting, although these will require further training.
Course contentThis four-year programme is designed to provide you with a broad mathematical training that will, in turn, allow you to work in any environment that requires strong numerical and logical skills.
The courses offered can be grouped into four areas:
- Pure mathematics which explores basic concepts and abstract theories
- Applied and computational mathematics to solve practical problems
- The mathematics of theoretical physics
- Statistical models and methodology
All students take common courses in first year, and continue with core courses in algebra, analysis and mathematical methods in second year. As a Sophister (third and fourth year student) you will be able to specialise in the areas that appeal most to you.
The Freshman yearsTypically Junior Freshmen (first year students) will have approximately 18 hours of classes comprising lectures, seminars, tutorials and 2 computer laboratory classes.
Junior Freshman (first year) courses include the following:
- Introduction to modern algebra: groups, rings, fields
- Analysis: real and complex numbers, differentiation, functions, graphs and continuity
- Mathematical methods: applied linear algebra and calculus
- Classical mechanics
- Introduction to statistics; concepts of statistical inference and related probability theory; elementary statistical methods and applications; statistical software and data analysis
- Introduction to computer architecture and programming; programming in a high level language; numerical methods (this will include practical work)
In the Senior Freshman (second) year you will continue to study algebra, analysis and mathematical methods. In addition you will select three subjects of your choice from a range that explore the Junior Freshman topics in greater depth. This allows you to begin tailoring the degree to your own strengths and areas of interest.
The Sophister yearsIn the Sophister (third and fourth) years you will have the opportunity to choose either five or six subjects from a selection of over 20 wide-ranging options. Many subjects cover topics from the first and second year, but additional possibilities include computer engineering, mathematical economics, cryptography and computer aided design. One of the optional subjects may be replaced by an independent research project conducted under the supervision of a member of staff.
Assessment structureYou will be assessed by a combination of continuous assessment and end-of-year examination, with all work undertaken during your last two years counting towards your final degree result.
Study abroadAs part of the SOCRATES exchange programme, you can opt to spend the Junior Sophister (third) year in Athens, Darmstadt, Leuven or Durham.
Career opportunitiesA degree in mathematics opens up the possibility of a career in a variety of industries and sectors. Graduates have found employment in computing, where mathematics skills have immediate and practical application. The financial services and internet security sectors are also common first destinations for graduates. Other options include statistics, teaching, accountancy, actuarial work, finance, and all areas of pure and applied mathematics. Many of these involve further study or intensive research.
