Descriptif

Prerequisites: MAA101, MAA102

The course.

The course aims both at making  you discover mathematical modeling and how mathematics can bring some interesting answers. At this occasion, you will discover some mathematics concepts/techniques/tools motivated by questions arising from the problems coming from the «real world »

The lecture.

Every two weeks, a new lecture is done (on Friday). Each lecture will deal with a new situation of modeling and introduce some mathematical notion or techniques to study the model.  Some of the topics will see are:

• The prediction problem and optimization of regular functions
• Connection sequences, differential equations and optimizations
• The problem of controlling a dynamical system and differential equations
• Best time to stop a game 

The exercises sessions (TD)/challenges. 

Every two weeks (the one when there is no lecture), you will have a TD. You should think about  the challenge/exercise before TD. You can try to solve it partially but do not need to write something or search all questions. The TDs will be devoted to discussion about the challenge and correction of some questions.

Methodology for the grade

Grade= Max (F, 50% F + 50% Project) where

F= 50% Exam + 50% Participation

Project

It is a project which consists at picking a subject that leads to a mathematical modeling. In no more then 7 pages, you will describe and explain how to solve the problem by using some mathematical tools. You can also draw some graphics for illustration. A short defense could be organized if necessary.

Participation

The teacher in charge of the TDs will give you a grade regarding your involvement during the exercise sessions.

++++++