Program Overview

Master in Mathematics

The Master in Mathematics is a 120-credit program offered by the Universitť catholique de Louvain. The program is designed to provide students with a comprehensive education in mathematics, including a deep understanding of the major fields of fundamental mathematics and a specialization in one of the research areas of the School of Mathematics.

Core Courses

The program includes the following core courses:

• Mťmoire et sťminaire (28 credits)
• LMAT2997: Thesis tutorial (2 credits)
• LMAT2999: Mťmoire (26 credits)
• Cours thťmatiques en mathťmatique: Students choose at least 20 credits from a list of courses, including:
  • LMAT2130: Partial differential equations (5 credits)
  • LMAT2415: Advanced harmonic analysis (5 credits)
  • LMAT2250: Calculus of variations (5 credits)
  • LMAT2120: Groups theory (5 credits)
  • LMAT2150: Category theory (5 credits)
  • LMAT2221: Universal algebra (5 credits)
  • LMAT2215: Homological algebra (5 credits)
  • LMAT2430: Lie's theory elements and differential geometry (5 credits)
  • LMAT2420: Complex analysis (5 credits)
  • LMAT2140: Algebraic topology (5 credits)
  • LMAT2240: Low-dimensional topology (5 credits)
  • LMAT2266: Lie Theory (5 credits)
  • LMAT2170: History and epistemology of mathematics (5 credits)
• Philosophy (2 credits): Students choose one course from:
  • LSC2001: Introduction to contemporary philosophy (2 credits)
  • LSC2220: Philosophy of science (2 credits)
  • LFILO2003E: Ethics in the Sciences and technics (sem) (2 credits)
  • LTHEO2840: Science and Christian faith (2 credits)

Research Focus

The research focus includes:

• LMAT2160: Training seminar for mathematical researchers (5 credits)
• LMAT2165: Personal project in mathematics (5 credits)
• Cours thťmatiques en mathťmatique: Students choose at least 5-10 additional credits from the list of courses
• Cours approfondis: Students choose 10-15 credits from a list of advanced courses, including:
  • LMAT2910: Advanced topics in mathematics 1 (5 credits)
  • LMAT2920: Advanced topics in mathematics 2 (5 credits)
  • LMAT2930: Advanced topics in mathematics 3 (5 credits)
  • LMAT2940: Advanced topics in mathematics 4 (5 credits)
  • LMAT2915: Advanced topics in mathematics 5 (5 credits)
  • LMAT2925: Advanced topics in mathematics 6 (5 credits)
  • LMAT2935: Advanced topics in mathematics 7 (5 credits)
  • LMAT2945: Advanced topics in mathematics 8 (5 credits)
• Cours approfondis de mathťmatique ŗ l'ULB et ŗ la KULeuven: Students may choose courses from the University of Brussels or the Catholic University of Leuven, including:
  • EMATK2080: Algebraic Geometry 1 (6 credits)
  • EMATK2007: Operator Algebras (6 credits)
  • EMATK2268: Orthogonal Polynomials and Random Matrices (6 credits)
  • EMATK2099: Algebraic Number Theory (6 credits)
  • EMATK2005: Riemann Surfaces (6 credits)
  • EMATK2017: Algebraic Geometry II (6 credits)

Options

The program offers several options:

• Option in Statistics: Includes courses such as:
  • LSTAT2040: Statistical analysis (5 credits)
  • LSTAT2020: Statistical softwares and basic statistical programming (3 credits)
  • LSTAT2110: Data Analysis (5 credits)
  • LSTAT2120: Linear models (5 credits)
  • LSTAT2140: Non parametric statistics (4 credits)
  • LSTAT2440: Inference and Data Reduction (5 credits)
  • LSTAT2450: Statistical learning. Estimation, selection and inference (5 credits)
  • LINMA2470: Stochastic modelling (5 credits)
• Option sciences actuarielles: Includes courses such as:
  • LACTU2010: Property and casualty insurance actuarial science (7 credits)
  • LACTU2030: Life insurance actuarial science (5 credits)
  • LACTU2040: Social security and pension actuarial science (5 credits)
  • LACTU2170: Financial valuation of actuarial liabilities (7 credits)
  • LACTU2240: Actuarial Science in Finance: Advanced Processes and Life Insurance Engineering (5 credits)
  • LACTU2210: Quantitative Risk Management (5 credits)
• Option mathťmatiques appliquťes: Includes courses such as:
  • LINMA2380: Matrix computations (5 credits)
  • LINMA2470: Stochastic modelling (5 credits)
  • LINMA2471: Optimization models and methods II (5 credits)
  • LINMA2345: Game theory (5 credits)
  • LINMA2450: Combinatorial optimization (5 credits)
  • LINMA2171: Numerical Analysis: Approximation, Interpolation, Integration (5 credits)
  • LINMA2472: Algorithms in data science (5 credits)
  • LMAT2450: Cryptography (5 credits)
  • LINMA2111: Discrete mathematics II: Algorithms and complexity (5 credits)
• Option biostatistique: Includes courses such as:
  • LSTAT2020: Statistical softwares and basic statistical programming (3 credits)
  • LSTAT2030: Statistique et data sciences avec R: Programmation avancťe (3 credits)
  • LSTAT2040: Statistical analysis (5 credits)
  • LSTAT2110: Data Analysis (5 credits)
  • LSTAT2120: Linear models (5 credits)
  • LSTAT2330: Statistics in clinical trials (5 credits)
  • LSTAT2130: Introduction to Bayesian statistics (4 credits)
  • LSTAT2220: Analysis of survival and duration data (4 credits)

Preparatory Module

The preparatory module is designed for students who need to take supplementary classes to satisfy course prerequisites. The module includes courses such as:

• LMAT1221: Mathematical analysis: integration (5 credits)
• LMAT1222: Complex analysis 1 (5 credits)
• LMAT1321: Functional analysis and partial differential equations (7 credits)
• LMAT1323: Topology (5 credits)
• LMAT1231: Multilinear algebra and group theory (5 credits)
• LMAT1236: Introduction to logic: set theory (5 credits)
• LMAT1237: Introduction to logic: model theory (5 credits)
• LMAT1241: Geometry II (6 credits)
• LMAT1271: Calculation of probability and statistical analysis (6 credits)
• LMAT1371: Probability Theory (5 credits)
• LMAT1151: Numerical analysis: tools and software of calculus (5 credits)
• LMAT1351: Approximation: methods et theory (5 credits)

Editor

The editor responsible for this program is the Universitť catholique de Louvain, Facultť SC.