Mathematics modules 2025-26
Source: https://www.maths.tcd.ie/undergraduate/modules/allmods.php Parent: https://www.maths.tcd.ie/amtp/people/
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Mathematics modules 2025-26
Modules with MAU (Mathematics) codes that end in 1,3,5,7,9 are offered during the first semester and those ending in 0,2,4,6,8 are offered during the second, although the ones ending in 00 are yearlong modules. Some of the sophister modules are offered every other year and those are listed with an asterisk. Unless indicated otherwise, each module is worth 5 ECTS credits.
Yearlong Modules 2025-26
Linear algebra (10 ECTS)
Mechanics (10 ECTS)
Advanced analysis (10 ECTS)
Discrete mathematics (10 ECTS)
Advanced analysis (10 ECTS)
Mathematics education (10 ECTS)
Quantum field theory (10 ECTS)
Capstone project (20 ECTS)
Management science methods (10 ECTS)
Data analytics (10 ECTS)
Semester 1 Modules 2025-26
Algorithms and data structures I
Information management I
Computational mathematics
Symbolic programming
Introduction to functional programming
Fuzzy logic and control systems
Formal verification
Computer graphics
Computer vision
Maths, statistics & computation (10 ECTS)
Anthony Brown Nicolas Mascot Cornelius Fritz
Single-variable calculus (10 ECTS)
Introduction to programming
Engineering mathematics I
Mathematics for scientists I (10 ECTS)
Group theory
Introduction to number theory
Analysis in several real variables
Ordinary differential equations
Advanced classical mechanics I
Engineering mathematics III
Multi-variable calculus for science
Fourier analysis for science
Equations of mathematical physics I
Introduction to number theory
Analysis in several real variables
Ordinary differential equations
Topics in combinatorial algebraic geometry
Advanced classical mechanics I
Engineering mathematics V
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
Statistical physics I
Lie groups, Lie algebras and physics
Applied differential geometry
Practical numerical simulations
Introduction to statistics I
Probability and theoretical statistics
Forecasting
Multivariate linear analysis
Applied linear statistical methods I
Statistical inference I
Decision analysis
Semester 2 Modules 2025-26
Algorithms and data structures II
Artificial intelligence I
Maths, statistics & computation (10 ECTS)
Anthony Brown Nicolas Mascot Cornelius Fritz
Advanced calculus
Analysis on the real line
Techniques in theoretical physics
Introduction to computation theory and logic
Engineering mathematics II
Mathematics for scientists II (10 ECTS)
Fields, rings and modules
Introduction to complex analysis
Calculus on manifolds
Euclidean and non-Euclidean geometry
Advanced classical mechanics II
Introduction to numerical analysis
Engineering mathematics IV
Vector calculus for science
Introduction to complex analysis
Euclidean and non-Euclidean geometry
Advanced classical mechanics II
Commutative algebra
Calculus on manifolds
Advanced partial differential equations
Introduction to algebraic geometry
Manifold topology
Techniques in geometry
Classical electrodynamics
Quantum mechanics II
Statistical physics II
Interacting quantum systems
Introduction to numerical analysis
Fixed point theorems and economic equilibria
General relativity
The standard model of elementary particle physics
Introduction to statistics II
Applied probability II
Applied linear statistical methods II
Statistical inference II
List of all modules 2025-26
Algorithms and data structures I
Algorithms and data structures II
Information management I
Artificial intelligence I
Computational mathematics
Symbolic programming
Introduction to functional programming
Fuzzy logic and control systems
Formal verification
Computer graphics
Computer vision
Maths, statistics & computation (10 ECTS)
Anthony Brown Nicolas Mascot Cornelius Fritz
Maths, statistics & computation (10 ECTS)
Anthony Brown Nicolas Mascot Cornelius Fritz
Linear algebra (10 ECTS)
Single-variable calculus (10 ECTS)
Advanced calculus
Analysis on the real line
Mechanics (10 ECTS)
Techniques in theoretical physics
Introduction to programming
Introduction to computation theory and logic
Engineering mathematics I
Engineering mathematics II
Mathematics for scientists I (10 ECTS)
Mathematics for scientists II (10 ECTS)
Group theory
Fields, rings and modules
Introduction to number theory
Advanced analysis (10 ECTS)
Analysis in several real variables
Introduction to complex analysis
Ordinary differential equations
Calculus on manifolds
Euclidean and non-Euclidean geometry
Advanced classical mechanics I
Advanced classical mechanics II
Introduction to numerical analysis
Discrete mathematics (10 ECTS)
Engineering mathematics III
Engineering mathematics IV
Multi-variable calculus for science
Vector calculus for science
Fourier analysis for science
Equations of mathematical physics I
Introduction to number theory
Advanced analysis (10 ECTS)
Analysis in several real variables
Introduction to complex analysis
Ordinary differential equations
Topics in combinatorial algebraic geometry
Euclidean and non-Euclidean geometry
Advanced classical mechanics I
Advanced classical mechanics II
Engineering mathematics V
Galois theory
Commutative algebra
Lie algebras and Lie groups
Combinatorics
Advanced complex analysis
Calculus on manifolds
Introduction to partial differential equations
Advanced partial differential equations
Differential geometry
Introduction to algebraic geometry
Discrete geometry
Manifold topology
Techniques in geometry
Classical field theory
Classical electrodynamics
Quantum mechanics I
Quantum mechanics II
Statistical physics I
Statistical physics II
Lie groups, Lie algebras and physics
Applied differential geometry
Interacting quantum systems
Practical numerical simulations
Introduction to numerical analysis
Fixed point theorems and economic equilibria
Mathematics education (10 ECTS)
Quantum field theory (10 ECTS)
General relativity
The standard model of elementary particle physics
Capstone project (20 ECTS)
Introduction to statistics I
Introduction to statistics II
Applied probability II
Management science methods (10 ECTS)
Probability and theoretical statistics
Forecasting
Multivariate linear analysis
Applied linear statistical methods I
Applied linear statistical methods II
Statistical inference I
Statistical inference II
Data analytics (10 ECTS)
Decision analysis