Face-to-face , first term, 30 hours of theory and 22,5 hours of exercises.

First term
Tuesday from 11:00 to 12:30 at 109 Marais 100
Thursday from 11:00 to 12:30 at 109 Marais 300
Monday from 08:00 to 09:00 at 43 Botanique 1

French.

In terms of content, by the end of this first mathematics course of the programme, the student should have extended his knowledge concerning the real functions of a real variable and have familiarised himself with the numerical sequences and set theory.

But, beyond the content, the student will have been trained in logical reasoning, argumentation, and/or precise demonstration of results, verbal and written expression of his knowledge. He will have learned to move from the intuitive understanding of concepts to their formal expression, essential to a certain level of abstraction or generalisation.

And, finally, this course also aims to teach the student to apply mathematical concepts in economic contexts.

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The written support of the course is essentially the book: Analyse, Concepts et contextes, Volume 1, Fonctions d'une variable, de James Stewart, traduction de la 1ère édition, aux éditions De Boeck Université.

After a chapter resuming some elements of logic, of the set and relations theory, the title of the five following chapters will give a general idea of the notions developed in this course:
Chapter 1: Functions and models
Chapter 2: Limits and derivatives
Chapter 3: Derivation rules
Chapter 4: Application of the derivative
Chapter 5: Infinite sequences and series

This course is proposed to the students in Economics and Management.

Exercise sessions (tutorials): The students are divided into groups of around 25. It is imperative to respect this group repartition because the quality of individual and collective work that is requested during this weekly one and a half hour session depends on the group size and its stability.
In order to increase the efficiency of the supervised exercises, the theme of each session will be announced in advance so that the students can prepare for it by doing the immediate computational applications. The student must have a calculator capable of performing basic operations as well as calculating exponential, logarithmic and trigonometric functions.

To encourage daily work, which greatly increases the success prospects, weekly tests, based on previously defined material, will be held. These tests are optional. They suppose a thorough initial approach of the subject matter. However, these tests cannot be considered as representative of the questions that will be encountered at the final examination (which require several successive in depth examinations of the subject matter). These weekly tests are only intended to allow the students to evaluate their knowledge of the subject matter.

In order to encourage the students in this continuous work, these tests may intercede positively in their final examination (see assessment method).

The final evaluation is a written examination.

It includes different kinds of questions:
- short questions designed to verify the acquisition of techniques;
- questions designed to verify the acquisition of the theory, the understanding of the concepts, the mastery of the technical language;
- essay questions that allow to assess the synthesis, writing and structuring abilities, but also the depth of the understanding, the ability to set out arguments and the know-how when face with a new mathematical problem.

The form from the handbook is authorised.

The students who will have taken at least 5 of the 7 tests, will benefit from a continuous assessment: the 5 best tests out of the 7 will be retained and, only in the case where the continuous assessment mark is higher than the final examination mark, will count for 5 points out of 20 of the final mark.

The written support of the course is the book: Analyse, Concepts et contextes, Volume 1, Fonctions d'une variable, de James Stewart, traduction de la 1ère édition, aux éditions De Boeck Université.

• The main written support of the course is the book: Analyse, Concepts et contextes, Volume 1, Fonctions d'une variable, de James Stewart, traduction de la 1ère édition, aux éditions De Boeck Université
• Additional notes are available for the chapters that are not included in the book
• An exercise syllabus