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Single Honors Mathematics (JS year)

Selected pathway ECTS credit split

Available pathways

During their Junior Sophister year, students follow one of the available pathways. Their exact options are outlined 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. If their minor subject is Statistics, they may also take Statistics modules as part of their Mathematics curriculum.
  • Single Honors pathway: Students take 50 credits of Mathematics modules along with 10 credits of Open Modules and Trinity Electives.
  • Single Honors pathway NMS: This option is only available for students who dropped their minor subject at the end of their Senior Fresh year. Instead of taking 10 credits of Open Modules and Trinity Electives, these students may take 10 credits in the minor subject that they dropped.

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.

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. Some combinations of modules may not be available because of timetable restrictions.

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, while those listed with an asterisk are offered every other year.

Yearlong Mathematics Modules

Mathematics education (10 ECTS)

Semester 1 Mathematics Modules

Computational mathematics
Symbolic programming
Introduction to functional programming
Introduction to number theory
Ordinary differential equations
Advanced classical mechanics I
Functional analysis
Topics in complex analysis
Elliptic functions and modular forms
Differential geometry
Discrete geometry
Classical field theory
Quantum mechanics I
Practical numerical simulations
The theory of linear programming
Probability and theoretical statistics
Multivariate linear analysis
Stochastic models in space and time I
Modern statistical methods I

Semester 2 Mathematics Modules

Artificial intelligence I
Euclidean and non-Euclidean geometry
Advanced classical mechanics II
Group representations
Linear partial differential equations
Calculus on manifolds
Groups and geometry
Classical electrodynamics
Quantum mechanics II
Introduction to numerical analysis
Applied probability II
Stochastic models in space and time II
Modern statistical methods II

Open Modules and Trinity Electives 2024-25