# Single Honors Mathematics (SS year)

**Source**: https://www.maths.tcd.ie/undergraduate/modules/ss-ubmath-sng.php
**Parent**: https://www.maths.tcd.ie/undergraduate/modules/

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# Single Honors Mathematics (SS 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 Senior 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 the 20-credit Capstone
  project MAU44P00 along with 20 credits of Mathematics modules and 20 credits in
  their 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 the 20-credit Capstone project
  MAU44P00 along with 40 credits of Mathematics modules.
- **Single Honors pathway NMS:** Students take the 20-credit Capstone project
  MAU44P00 along with 40 credits of Mathematics modules.

## 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)

[MAU44P00 (c)](https://www.maths.tcd.ie/undergraduate/modules/MAU44P00.php "MAU44P00 prerequisites: 
None.")

Capstone project (20 ECTS)

[Marvin Anas Hahn](https://www.maths.tcd.ie/people/hahnma/)

[STU44003](https://teaching.scss.tcd.ie/module/STU44003 "STU44003 prerequisites: 
None.")

Data analytics (10 ECTS)

### Semester 1 Mathematics Modules

[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)

[CSU44001](https://teaching.scss.tcd.ie/module/CSU44001 "CSU44001 prerequisites: 
None.")

Fuzzy logic and control systems

[Khurshid Ahmad](https://www.tcd.ie/scss/people/academic-staff/kahmad)

[CSU44004](https://teaching.scss.tcd.ie/module/CSU44004 "CSU44004 prerequisites: 
None.")

Formal verification

[Vasileios Koutavas](https://www.tcd.ie/scss/people/academic-staff/vkoutav)

[CSU44052](https://teaching.scss.tcd.ie/module/CSU44052 "CSU44052 prerequisites: 
Familiarity with C++.")

Computer graphics

[CSU44053](https://teaching.scss.tcd.ie/module/CSU44053 "CSU44053 prerequisites: 
Familiarity with C++.")

Computer vision

[Kenneth Dawson-Howe](https://www.tcd.ie/scss/people/academic-staff/kdawson)

[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/)

[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)

### Semester 2 Mathematics Modules

[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/)

[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/)

[MAU34302\*](https://www.maths.tcd.ie/undergraduate/modules/MAU34302.php "MAU34302 prerequisites: 
MAU22102 Fields, rings, modules and
MAU23206 Calculus on manifolds.")

Introduction to algebraic geometry

[Andreea Nicoara](https://www.maths.tcd.ie/people/anicoara/)

[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/)

[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/)

[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)