### MAA201 - Reduction of endomorphisms (2022-2023)

Reduction of Endomorphisms introduces students to more conceptual algebraic subjects. More precisely, students explore the fundamental structures of algebra including groups, rings, and fields. Topics covered in this course are designed to prepare students for later questions related to symmetry (including those arising in physics) and number theory. This course also covers the study of polynomials, including their application, to further develop techniques acquired from linear algebra.

Reduction of Endomorphisms introduces students to more conceptual algebraic subjects. More precisely, students explore the fundamental structures of algebra including groups, rings, and fields. Topics covered in this course are designed to prepare students for later questions related to symmetry (including those arising in physics) and number theory. This course also covers the study of polynomials, including their application, to further develop techniques acquired from linear algebra.

### MAA202 - Topology and multivariable calculus (2022-2023)

MAA202 is divided into two parts, the first one more
theoretical than and setting the foundations of the
second one. The theoretical part covers the
fundamentals of topology of normed vector spaces and
of topology in finite dimension. The second part, more
computational, covers differentiation and integration in
several (real) variables.

Analysis (MAA 202) builds on the concepts and techniques introduced in Analysis 102. In particular, students cover notions in topology.

### MAA203 - Introduction to Probability (2022-2023)

MAA203 covers a wide-range of important notions in probability theory and focuses in particular on discrete and continuous random variables with examples in modelling. A particular emphasis is put on how to perform and use computer simulations.

MAA203 covers a wide-range of important notions in probability theory and focuses in particular on discrete and continuous random variables with examples in modelling. A particular emphasis is put on how to perform and use computer simulations.

### MAA204 - Introduction to Statistics (2022-2023)

MAA204 is an introductory course in statistics, with
complements in probability.
Topics include displaying and describing data,
multivariate distributions, Central Limit Theorem and
introduction to statistical inference (estimators,
confidence intervals and hypothesis testing).

MAA204 is an introductory course in statistics, with complements in probability. Topics include displaying and describing data, writing a statistical model, introduction to statistical inference, confidence intervals, approximations with the Central Limit Theorem.

### MAA205 - Algorithms for Discrete Mathematics (2022-2023)

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.