- Profesor: Fresan Javier
École polytechnique learning platform
Resultados de la búsqueda: 4
Prerequisites: MAA101, MAA104, CSE101
The purpose of this course is to use computer
science and programming to solve
problems in Discrete Mathematics, and
vice versa.
The main objectives of the course are:
❯ Learning to use various tools (recursivity,
symbolic computing, graphs,
matrices…) to deal with complex
problems.
❯ Using computer programming and
experimentation to help prove theorems.
❯ Improving intuition in pure and applied
Mathematics.
Discrete Mathematics happen to offer
a lot of aspects that lend themselves to
computer experimentation. Topics may
include: graphs and adjacency matrices,
number theory, logic, analysis of algorithms,
dynamical systems, elementary
probability…
The course will mainly consist of practical
labs in Python.
The purpose of MAA205 is to use computer science and programming to solve problems in discrete mathematics, and vice versa. Topics include: graphs and their matrices, combinatorics and generating functions, elementary probability, sorting algorithms. The course consists of lectures and practical labs in python.
- Profesor: Bigel Amanda
- Profesor: Conforti Giovanni
- Profesor: Gerin Lucas
Prerequisites: MAA101, MAA104, CSE101
The purpose of this course is to use computer science and programming to solve problems in Discrete Mathematics, and vice versa. Discrete Mathematics happen to offer a lot of aspects that lend themselves to computer experimentation. Topics may include: graphs and adjacency matrices, number theory, logic, analysis of algorithms, dynamical systems, elementary probability… The course will mainly consist of practical labs in Python.
The purpose of MAA205 is to use computer science and programming to solve problems in discrete mathematics, and vice versa. Topics include: graphs and their matrices, combinatorics and generating functions, elementary probability, sorting algorithms. The course consists of lectures and practical labs in python.
- Profesor: Bigel Amanda
- Profesor: Gerin Lucas
Prerequisites: MAA101, MAA103, MAA104, MAA201, MAA206
MAA303 mainly focuses on general group theory. The first part of the course will be dedicated to the basic notions that one uses to study groups: normal subgroups, quotient group, simple groups... The second part of the course will focus on group actions. After introducing them, we will see a number of interesting applications in algebra, geometry and arithmetic, such as the so-called Sylow theorems. At the very end of the course, we will move on from groups to other usual algebraic structures, such as rings and fields. This part of the course will only be a short introduction to ring and field theory. Extra material not covered during the course itself will be provided for those students who would like to go further and understand how groups, rings and fields are deeply related through the study of algebraic equations and Galois theory.
MAA303 mainly focuses on general group theory. The first part of the course will be dedicated to the basic notions that one uses to study groups: normal subgroups, quotient group, simple groups... The second part of the course will focus on group actions. After introducing them, we will see a number of interesting applications in algebra, geometry and arithmetic, such as the so-called Sylow theorems. At the very end of the course, we will move on from groups to other usual algebraic structures, such as rings and fields. This part of the course will only be a short introduction to ring and field theory. Extra material not covered during the course itself will be provided for those students who would like to go further and understand how groups, rings and fields are deeply related through the study of algebraic equations and Galois theory.
- Profesor: Izquierdo Diego