# Moderatorship in Mathematics

The Moderatorship Course in Mathematics is a programme of undergraduate study leading to the award of a B.A. (Mod) in Mathematics. The aim of this course is to provide students with a firm foundation in all the basic areas of mathematics and then allow them to specialize in those areas that most suit their interests and their talents. Specialisation is possible in later years in largely theoretical (pure mathematical) topics or in application areas, of which a considerable range is available within the course.

## Is this course for me?

The first two years of the course (the Fresh years) aim to provide students with the detailed background in algebra, analysis, mechanics, computation and statistics necessary for later years. There is no choice of modules in the first term (or semester) and limited choice in the second term of the Junior Fresh (or first) year and a somewhat greater choice in the Senior Fresh year.

The final two years (the Sophister years) of the programme consist of a wide choice amongst modules on (pure) mathematics, applied mathematics, mathematical or theoretical physics, Staistics, computing and (mathematical) Economics. The number of modules available under each of these general headings varies somewhat from year to year and only a minority of a students choices can be from some of the general headings mentioned. A strength of the programme is the broad range of mathematical topics which it includes and this provides for differing interests, talents and career avenues. In the Senior Sophister year many students undertake a project exploring a current area of research.

There are significant numbers of modules within the course provided by the

**Adam Keilthy**

The mathematics degree in Trinity truly broadened my mathematical horizons. With such a broad range of topics available, and such positive student-staff interaction, I was inspired to pursue a PhD in Oxford. However, academia was not my only option: many of my peers pursued careers in finance, computing and industry.

The courses are well designed, and the staff are engaging and dedicated to helping students. Having so many courses to choose from allows you to tailor the degree to your interests perfectly. While the work can be hard, it is extremely rewarding and so I would highly recommend maths as an option to those with an interest.

## Course overview

### Faculty of Science - Mathematics TR031

**Special entrance requirement:** B in Leaving Certificate Mathematics at Higher Level.

#### Summary

A four year honors degree programme consisting entirely of modules in mathematics and mathematically related subjects. In the first two years students must obtain a broad knowledge of mathematics. In the final two years modules are chosen from a range of options in pure mathematics, applied mathematics, theoretical physics, computing, numerical analysis and statistics.

#### Course Objective

The mathematics programme in Trinity is designed to provide students with a broad mathematical training. This qualifies them for work or further study in almost any numerate or logical discipline. In particular the course is an excellent choice for those who wish to pursue a career in mathematical research/teaching at a university or other third-level institution.

#### Course Content

Students take modules in several main areas:

**Pure Mathematics:**- an exploration of basic concepts and abstract theories
**Applied Mathematics:**- using mathematics to solve real practical problems
**Theoretical Physics:**- the study of physical laws
**Theoretical Computing; numerical methods:**- an exploration of computational problems; numerical methods for solving algebraic and differential equations
**Statistics:**- methods and models for the analysis of statistical data

All students follow a common set of modules in the first term of their Junior Fresh year (first year); in the second term of the Junior Fresh year and in their Senior Fresh year students take core modules in algebra, analysis and mathematical methods, together with modules of their choice; students in the third and fourth years choose from a wide range of options in the areas listed above, or other options including a mathematical economics module.

#### Course Assessment

Students are assessed by a combination of continuous assessment and end-of-year examination. The work of the last two years counts equally towards the quality of the final degree result.

#### Career Opportunities

The wide range of modules on offer ensures a degree of flexibility which is of crucial importance in today's job market. Computing is one area in which mathematics graduates find that their skills have immediate and practical application. Typical other career options include statistics, teaching, accountancy, actuarial work, finance, and all areas of pure and applied mathematics. Many of these involve further study, at university or otherwise.

The University of Dublin Calendar should be consulted for definitive information about the rules, regulations, and activities of the University.

## Course Modules

## Learning outcomes

### Single Honor Mathematics Moderatorship

On successful completion of this programme, students should be able to:

- Demonstrate a competence in formulating, analysing, and solving problems in several core areas of mathematics at a detailed level, including analysis, linear and abstract algebra, statistics, probability and applications of mathematics
- Demonstrate an advanced knowledge and fundamental understanding of a number of specialist mathematical topics, including the ability to solve problems related to those topics using appropriate tools and techniques
- Communicate clearly in writing and orally knowledge, ideas and conclusions about mathematics, including formulating complex mathematical arguments, using abstract mathematical thinking, synthesising intuition about mathematical ideas and their applications
- Demonstrate that they can advance their own knowledge and understanding of mathematics and its applications with a high degree of autonomy