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Single Honors Mathematics (SF year)

Selected pathway ECTS credit split

Available pathways

During their Senior Fresh year, students follow one of the available pathways. Their exact options are depicted in this useful diagram and they are also briefly outlined below.

  • Major with Minor pathway: Students take 40 credits in Mathematics modules along with 20 credits in another minor subject.
  • Single Honors pathway: Students take 40 credits in Mathematics modules along with 20 credits in Open Modules and Trinity Electives.
Students who follow the former pathway will be able to drop their minor subject and switch back to the Single Honors pathway a year later, if needed.

Minor in Statistics or other subjects

To complete a minor degree in another subject, students must take 20 credits in that subject every year for a total of 60 credits during their studies. One of the available options is a minor in Statistics. This is designed exclusively for Single Honors Mathematics students and the quota is high enough to accommodate all students. It is also possible to pursue a minor in various other subjects. However, these are offered to several cohorts of students across college and the available places are limited, so allocations are made based on the candidates' results during their Junior Fresh year.

Timetable pillars for minor subjects

For timetable purposes, the available minor subjects (other than Statistics) are divided into three groups, which are also known as pillars.

  • Pillar 1 subjects: Classical civilisation, Drama studies, French, History.
  • Pillar 2 subjects: Ancient history and archaeology, Economics, English, Italian, Linguistics, Music.
  • Pillar 4 subjects: Classical languages, Geography, Irish, Philosophy, Religion, Social policy, Spanish.

Open Modules and Trinity Electives

The term Trinity Electives refers to a collection of modules on various topics of general interest including modules in art, history, science and foreign languages, for instance. These are all modules that have no prerequisites, and the students that do not pursue a minor must take 1-2 Trinity Electives during their studies.

The term Open Modules refers to a collection of modules which are offered by other Schools. These are also modules of general interest, but some of them may have prerequisites, and some of them are only available for Mathematics students.

Both Trinity Electives and Open Modules are allocated on a first come first served basis.

Mathematics modules

The following list of Mathematics modules corresponds to the pathway selected at the top of this page. One may use the dropdown menu to navigate to other pathways, if needed.

Credits must always be divided equally between the two semesters. Unless indicated otherwise, each module is worth 5 credits. To view the prerequisites for each module, one may hover their mouse over the module code. Modules listed with (c) are compulsory.

Yearlong Mathematics Modules

Advanced analysis (10 ECTS)

Semester 1 Mathematics Modules

Introduction to number theory
Analysis in several real variables
Ordinary differential equations
Probability and theoretical statistics

Semester 2 Mathematics Modules

Fields, rings and modules
Introduction to complex analysis
Euclidean and non-Euclidean geometry
Introduction to numerical analysis

Open Modules and Trinity Electives 2023-24