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. 
 
 
 
 
Algorithms and data structures I 
 
  
 
 
 
 
Computational mathematics 
 
  
 
 
 
 
Introduction to functional programming 
 
  
 
 
 
Fuzzy logic and control systems 
 
  
 
 
 
 
 
 
Maths, statistics & computation (10 ECTS) 
 
  
 
 
 
Single-variable calculus (10 ECTS) 
 
  
 
 
 
Introduction to programming 
 
  
 
 
 
Engineering mathematics I 
 
  
 
 
 
Mathematics for scientists I (10 ECTS) 
 
  
 
 
 
 
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 
 
  
 
 
 
 
Lie algebras and Lie groups 
 
  
 
 
 
 
Advanced complex analysis 
 
  
 
 
 
Introduction to partial differential equations 
 
  
 
 
 
 
 
 
 
 
Lie groups, Lie algebras and physics 
 
  
 
 
 
Applied differential geometry 
 
  
 
 
 
Practical numerical simulations 
 
  
 
 
 
Introduction to statistics I 
 
  
 
 
 
Probability and theoretical statistics 
 
  
 
 
 
 
Multivariate linear analysis 
 
  
 
 
 
Applied linear statistical methods I 
 
  
 
 
 
 
 
 
 
Algorithms and data structures II 
 
  
 
 
 
Artificial intelligence I 
 
  
 
 
 
Maths, statistics & computation (10 ECTS) 
 
  
 
 
 
 
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 
 
  
 
 
 
 
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 
 
  
 
 
 
 
 
Advanced partial differential equations 
 
  
 
 
 
Introduction to algebraic geometry 
 
  
 
 
 
 
 
Classical electrodynamics 
 
  
 
 
 
 
 
Interacting quantum systems 
 
  
 
 
 
Introduction to numerical analysis 
 
  
 
 
 
Fixed point theorems and economic equilibria 
 
  
 
 
 
 
The standard model of elementary particle physics 
 
  
 
 
 
Introduction to statistics II 
 
  
 
 
 
 
Applied linear statistical methods II 
 
  
 
 
 
 
 
 
Algorithms and data structures I 
 
  
 
 
 
Algorithms and data structures II 
 
  
 
 
 
 
Artificial intelligence I 
 
  
 
 
 
Computational mathematics 
 
  
 
 
 
 
Introduction to functional programming 
 
  
 
 
 
Fuzzy logic and control systems 
 
  
 
 
 
 
 
 
Maths, statistics & computation (10 ECTS) 
 
  
 
 
 
Maths, statistics & computation (10 ECTS) 
 
  
 
 
 
 
Single-variable calculus (10 ECTS) 
 
  
 
 
 
 
Analysis on the real line 
 
  
 
 
 
 
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) 
 
  
 
 
 
 
Fields, rings and modules 
 
  
 
 
 
Introduction to number theory 
 
  
 
 
 
Advanced analysis (10 ECTS) 
 
  
 
 
 
Analysis in several real variables 
 
  
 
 
 
Introduction to complex analysis 
 
  
 
 
 
Ordinary differential equations 
 
  
 
 
 
 
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 
 
  
 
 
 
 
 
Lie algebras and Lie groups 
 
  
 
 
 
 
Advanced complex analysis 
 
  
 
 
 
 
Introduction to partial differential equations 
 
  
 
 
 
Advanced partial differential equations 
 
  
 
 
 
 
Introduction to algebraic geometry 
 
  
 
 
 
 
 
 
 
Classical electrodynamics 
 
  
 
 
 
 
 
 
 
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) 
 
  
 
 
 
 
The standard model of elementary particle physics 
 
  
 
 
 
Capstone project (20 ECTS) 
 
  
 
 
 
Introduction to statistics I 
 
  
 
 
 
Introduction to statistics II 
 
  
 
 
 
 
Management science methods (10 ECTS) 
 
  
 
 
 
Probability and theoretical statistics 
 
  
 
 
 
 
Multivariate linear analysis 
 
  
 
 
 
Applied linear statistical methods I 
 
  
 
 
 
Applied linear statistical methods II