Fiches de cours 2017-2018

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Probabilistic method

MATH-467

Enseignant(s) :

Langue:

English

Remarque

pas donné en 2017-18

Summary

We systematically explore the exciting fact that randomness (i.e., coin flipping) can be used profitably to construct various mathematical structures with unexpected and often paradoxical properties, and to efficiently solve otherwise hopelessly difficult computational tasks.

Content

Keywords

random variable, expected value, probabilistic method, random graph, coloring

Learning Prerequisites

Required courses

Probability theory

Recommended courses

Discrete Mathematics or Graph Theory

Important concepts to start the course

Graph, random variable, expectation, variance, binomial coefficients, asymptotics

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Lectures and exercises

Expected student activities

Attending the lectures, solving the exercises, reading sections from the textbook

Assessment methods

Exam written

Resources

Bibliography

Noga Alon-Joel Spencer: The Probabilistic Method (Wiley)

Stasys Jukna: Extremal Combinatorics (Springer)

 

Dans les plans d'études

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
En construction
 
      Cours
      Exercice, TP
      Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand