# 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](https://www.maths.tcd.ie/undergraduate/modules/Pathways_SH.pdf)
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
[MAU34900](https://www.maths.tcd.ie/undergraduate/modules/MAU34900.php "MAU34900 prerequisites:
None.")
Mathematics education (10 ECTS)
[Miriam Logan](https://www.maths.tcd.ie/people/loganmi/)
[Aibhin Bray](https://people.tcd.ie/Profile?Username=brayai)
### Semester 1 Mathematics Modules
[CSU33081](https://teaching.scss.tcd.ie/module/CSU33081 "CSU33081 prerequisites:
MAU11100 Linear algebra.")
Computational mathematics
[Eamonn O Nuallain](https://www.tcd.ie/scss/people/academic-staff/onuallae)
[CSU34011](https://teaching.scss.tcd.ie/module/CSU34011 "CSU34011 prerequisites:
None.")
Symbolic programming
[Tim Fernando](https://www.tcd.ie/scss/people/academic-staff/tfernand)
[CSU34016](https://teaching.scss.tcd.ie/module/CSU34016 "CSU34016 prerequisites:
None.")
Introduction to functional programming
[Andrew Butterfield](https://www.tcd.ie/scss/people/academic-staff/butrfeld)
[MAU33101](https://www.maths.tcd.ie/undergraduate/modules/MAU33101.php "MAU33101 prerequisites:
None.")
Introduction to number theory
[Adam Keilthy](https://www.maths.tcd.ie/people/akeilthy/)
[MAU33205](https://www.maths.tcd.ie/undergraduate/modules/MAU33205.php "MAU33205 prerequisites:
MAU11100 Linear algebra and
MAU11204 Analysis on the real line.")
Ordinary differential equations
[Miriam Logan](https://www.maths.tcd.ie/people/loganmi/)
[MAU33301](https://www.maths.tcd.ie/undergraduate/modules/MAU33301.php "MAU33301 prerequisites:")
Topics in combinatorial algebraic geometry
[Marvin Anas Hahn](https://www.maths.tcd.ie/people/hahnma/)
[MAU33401](https://www.maths.tcd.ie/undergraduate/modules/MAU33401.php "MAU33401 prerequisites:
MAU11400 Mechanics.")
Advanced classical mechanics I
[Chaolun Wu](https://www.maths.tcd.ie/people/chaolunwu/)
[MAU34101\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34101.php "MAU34101 prerequisites:
MAU22102 Fields, groups and modules.")
Galois theory
[Nicolas Mascot](https://www.maths.tcd.ie/people/mascotn/)
[MAU34103\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34103.php "MAU34103 prerequisites:
MAU11100 Linear algebra and
MAU22206 or MAU33214 or MAU23206 Calculus on manifolds.")
Lie algebras and Lie groups
[Sergey Mozgovoy](https://www.maths.tcd.ie/people/mozgovoy/)
[MAU34107](https://www.maths.tcd.ie/undergraduate/modules/MAU34107.php "MAU34107 prerequisites:
MAU11100 Linear algebra.")
Combinatorics
[Marvin Anas Hahn](https://www.maths.tcd.ie/people/hahnma/)
[MAU34209](https://www.maths.tcd.ie/undergraduate/modules/MAU34209.php "MAU34209 prerequisites:
MAU22204 or MAU33204 or MAU23204 Introduction to complex analysis.")
Advanced complex analysis
[Dmitri Zaitsev](https://www.maths.tcd.ie/people/zaitsev/)
[MAU34215\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34215.php "MAU34215 prerequisites:
MAU22205 or MAU33205 or MAU23205 Ordinary differential equations.")
Introduction to partial differential equations
[John Stalker](https://www.maths.tcd.ie/people/stalker/)
[MAU34301\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34301.php "MAU34301 prerequisites:
MAU22206 or MAU34214 or MAU23206 Calculus on manifolds.")
Differential geometry
[Tommaso Cremaschi](https://www.maths.tcd.ie/people/cremaschi/)
[MAU34303](https://www.maths.tcd.ie/undergraduate/modules/MAU34303.php "MAU34303 prerequisites:
MAU11100 Linear algebra and
MAU11201 Single-variable calculus.")
Discrete geometry
[Marvin Anas Hahn](https://www.maths.tcd.ie/people/hahnma/)
[MAU34401](https://www.maths.tcd.ie/undergraduate/modules/MAU34401.php "MAU34401 prerequisites:
MAU22402 or MAU33402 or MAU23402 Advanced classical mechanics II.")
Classical field theory
[Andrei Parnachev](https://www.maths.tcd.ie/people/parnachev/)
[MAU34403](https://www.maths.tcd.ie/undergraduate/modules/MAU34403.php "MAU34403 prerequisites:
MAU22403 or MAU33402 or MAU23402 Advanced classical mechanics II.")
Quantum mechanics I
[Sergey Frolov](https://www.maths.tcd.ie/people/frolovs/)
[MAU34601](https://www.maths.tcd.ie/undergraduate/modules/MAU34601.php "MAU34601 prerequisites:
MAU11400 Mechanics AND ONE OF
MAU11404 Techniques in theoretical physics,
MAU22205 or MAU33205 Ordinary differential equations")
Practical numerical simulations
[Patrick Fritzsch](https://www.maths.tcd.ie/people/fritzscp/)
[STU23501](https://teaching.scss.tcd.ie/module/STU23501 "STU23501 prerequisites:
STU12502 Introduction to statistics II.")
Probability and theoretical statistics
[Simon Wilson](https://www.tcd.ie/scss/people/academic-staff/swilson)
[STU33010](https://teaching.scss.tcd.ie/module/STU33010 "STU33010 prerequisites:
STU23501 Probability and theoretical statistics I.")
Forecasting
[Alessio Benavoli](https://www.tcd.ie/scss/people/academic-staff/benavola)
[STU33011](https://teaching.scss.tcd.ie/module/STU33011 "STU33011 prerequisites:
STU23501 Probability and theoretical statistics I.")
Multivariate linear analysis
[Arthur White](https://www.tcd.ie/scss/people/academic-staff/arwhite)
[STU34501\*](https://teaching.scss.tcd.ie/module/STU34501 "STU34501 prerequisites:
STU23501 Probability and theoretical statistics I.")
Applied linear statistical methods I
[Jason Wyse](https://www.tcd.ie/scss/people/academic-staff/wyseja)
[STU34507\*](https://teaching.scss.tcd.ie/module/STU34507 "STU34507 prerequisites:
STU23501 Probability and theoretical statistics I.")
Statistical inference I
[Simon Wilson](https://www.tcd.ie/scss/people/academic-staff/swilson)
[STU44005](https://teaching.scss.tcd.ie/module/STU44005 "STU44005 prerequisites:
STU12502 Introduction to Statistics II.")
Decision analysis
[Athanasios Georgiadis](https://www.tcd.ie/scss/people/academic-staff/georgiaa)
### Semester 2 Mathematics Modules
[CSU33061](https://teaching.scss.tcd.ie/module/CSU33061 "CSU33061 prerequisites:
CSU34011 Symbolic Programming.")
Artificial intelligence I
[Tim Fernando](https://www.tcd.ie/scss/people/academic-staff/tfernand)
[MAU33302](https://www.maths.tcd.ie/undergraduate/modules/MAU33302.php "MAU33302 prerequisites:
None.")
Euclidean and non-Euclidean geometry
[Adam Keilthy](https://www.maths.tcd.ie/people/akeilthy/)
[MAU33402](https://www.maths.tcd.ie/undergraduate/modules/MAU33402.php "MAU33402 prerequisites:
MAU22401 or MAU33401 Advanced classical mechanics I.")
Advanced classical mechanics II
[Chaolun Wu](https://www.maths.tcd.ie/people/chaolunwu/)
[MAU34102\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34102.php "MAU34102 prerequisites:
MAU22102 Fields, groups and modules.")
Commutative algebra
[Sergey Mozgovoy](https://www.maths.tcd.ie/people/mozgovoy/)
[MAU34214](https://www.maths.tcd.ie/undergraduate/modules/MAU34214.php "MAU34214 prerequisites:
MAU22203 Analysis in several real variables.")
Calculus on manifolds
[Florian Naef](https://www.maths.tcd.ie/people/naeff/)
[MAU34216\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34216.php "MAU34216 prerequisites:
MAU34215 Introduction to partial differential equations.")
Advanced partial differential equations
[Paschalis Karageorgis](https://www.maths.tcd.ie/people/pete/)
[MAU34306\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34306.php "MAU34306 prerequisites:
TBA.")
Manifold topology
[Florian Naef](https://www.maths.tcd.ie/people/naeff/)
[MAU34308\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34308.php "MAU34308 prerequisites:
MAU22200 Advanced analysis and MAU22206 or MAU34214 or MAU23206 Calculus on manifolds.")
Techniques in geometry
[Nikhil Savale](https://www.maths.tcd.ie/people/nsavale/)
[MAU34402](https://www.maths.tcd.ie/undergraduate/modules/MAU34402.php "MAU34402 prerequisites:
MAU34401 Classical field theory.")
Classical electrodynamics
[Stefan Sint](https://www.maths.tcd.ie/people/sint/)
[MAU34404](https://www.maths.tcd.ie/undergraduate/modules/MAU34404.php "MAU34404 prerequisites:
MAU34403 Quantum mechanics I.")
Quantum mechanics II
[Michael Peardon](https://www.maths.tcd.ie/people/mjp/)
[MAU34604](https://www.maths.tcd.ie/undergraduate/modules/MAU34604.php)
Introduction to numerical analysis
[Kirk Soodhalter](https://www.maths.tcd.ie/people/ksoodha/)
[MAU34804\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34804.php "MAU34804 prerequisites:
MAU11204 Analysis on the real line.")
Fixed point theorems and economic equilibria
[John Stalker](https://www.maths.tcd.ie/people/stalker/)
[STU22005](https://teaching.scss.tcd.ie/module/STU22005 "STU22005 prerequisites:
STU23501 Probability and theoretical statistics I.")
Applied probability II
[Caroline Brophy](https://www.tcd.ie/scss/people/academic-staff/brophyc1)
[STU34502\*](https://teaching.scss.tcd.ie/module/STU34502 "STU34502 prerequisites:
STU22005 Applied probability II.")
Applied linear statistical methods II
[Alessio Benavoli](https://www.tcd.ie/scss/people/academic-staff/benavola)
[STU34508\*](https://teaching.scss.tcd.ie/module/STU34508 "STU34508 prerequisites:
STU23501 Probability and theoretical statistics I.")
Statistical inference II
[Jason Wyse](https://www.tcd.ie/scss/people/academic-staff/wyseja)
### Open Modules and Trinity Electives 2025-26
- [Open Modules (for JS Mathematics students)](https://www.tcd.ie/tjh/assets/pdf/JS-OM-Mathematics-25-26.pdf)
- [Trinity Electives (list of options)](https://www.tcd.ie/trinity-electives/assets/docs/trinityelectiveslisting2025-26.pdf)
- [Trinity Electives (further details)](https://www.tcd.ie/trinity-electives/electives)