Single Honors Mathematics (JS year)
Source: https://www.maths.tcd.ie/undergraduate/modules/js-ubmath-sng.php Parent: https://www.maths.tcd.ie/undergraduate/modules/
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Single Honors Mathematics (JS year)
Selected pathway Major in Mathematics, Minor in Pillar 1 Major in Mathematics, Minor in Pillar 2 Major in Mathematics, Minor in Pillar 4 Major in Mathematics, Minor in Statistics Single Honors Mathematics Single Honors Mathematics (Pillar 1 NMS) Single Honors Mathematics (Pillar 2 NMS) Single Honors Mathematics (Pillar 4 NMS) Single Honors Mathematics (Statistics NMS) 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
Topics in combinatorial algebraic geometry
Advanced classical mechanics I
Galois theory
Lie algebras and Lie groups
Combinatorics
Advanced complex analysis
Introduction to partial differential equations
Differential geometry
Discrete geometry
Classical field theory
Quantum mechanics I
Practical numerical simulations
Probability and theoretical statistics
Forecasting
Multivariate linear analysis
Applied linear statistical methods I
Statistical inference I
Decision analysis
Semester 2 Mathematics Modules
Artificial intelligence I
Euclidean and non-Euclidean geometry
Advanced classical mechanics II
Commutative algebra
Calculus on manifolds
Advanced partial differential equations
Manifold topology
Techniques in geometry
Classical electrodynamics
Quantum mechanics II
Introduction to numerical analysis
Fixed point theorems and economic equilibria
Applied probability II
Applied linear statistical methods II
Statistical inference II