# Joint Honors Moderatorship

## Is this course for me?

The general structure of the programme provides for students with a deep interest in two areas, and both subjects are studied equally for three years. Depending on the combination, one or other or both subjects may be studied in the final (Senior Sophister) year. Sophister pattern and Major/Minor choice information.

**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

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

Within the Joint Honors programme, mathematics may be combined with Economics, Modern Irish, Music, Philosophy or Russian.

This option would be particularly suited to those who are equally adept at say, Music, as well as mathematics and prefer the variety of two subjects to the more intensive study of one. But with economics, philosophy and geography, many students take mathematics because its study contributes to their understanding of the other subject.

When combined with Economics or Philosophy, the student can choose at the end of the second year whether to study both subjects equally for four years or to specialize one of the two subjects. When combined with English literature, French, German, music or psychology, one of the two subjects is studied for three years only, and the fourth year is devoted entirely to the other subject.

### Course Content: Mathematics with Subjects other than Economics

**Year 1:**- modules in Algebra, Analysis and advanced calculus
**Year 2:**- modules in Algebra, Analysis and a more applied topic of Mathematics (such as Mechanics, Computational Mathematics or Statistics)
**Year 3:**- students have considerable choice of modules in a range of mathematical topics
**Year 4:**- (if applicable) students again choose their modules from a wide range of options, in Pure Mathematics, Applied Mathematics, Statistics and computational or numerical methods

### Course Content: Mathematics with Economics

**Year 1:**- modules in Algebra, Analysis and advanced calculus (combined with modules in Economics, Statistics)
**Year 2:**- modules in Algebra, Analysis, and Statistics
**Year 3:**- modules in Mathematical Economics and a considerable choice of modules in a range of mathematical topics
**Year 4:**- (if applicable) students again choose their modules from a wide range of options, in Pure Mathematics, Applied Mathematics, Statistics and computational or numerical methods

Please address any queries to the School of Mathematics (tel: (01) 896 1949).

## Course Modules

## Learning outcomes

### Two Subject Honor Moderatorship in Mathematics (Pattern A, Mathematics as one subject)

Students who have successfully completed the Moderatorship will 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 algebra, abstract algebra, and at least one of the following: statistics, probability or applications of mathematics
- Demonstrate an advanced and fundamental understanding of at least one specialist mathematical topic, including the ability to solve problems related to that topic 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

- Advance their own knowledge and understanding of mathematics and its applications with some degree of autonomy.

### Joint Honors Moderatorship in Mathematics

Students who have successfully completed the Moderatorship will 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 algebra, abstract algebra, and at least one of the following: statistics, probability or applications of mathematics
- Demonstrate an advanced knowledge and fundamental understanding of some 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 some degree of autonomy.

### Joint Honors Moderatorship in Mathematics

Students who have successfully completed the Moderatorship will 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 algebra, abstract algebra, and at least one of the following: statistics, probability or applications of mathematics
- Demonstrate an advanced knowledge and fundamental understanding of one specialist mathematical topic, including the ability to solve problems related to that topic 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.