1. Accueil
  2. EN
  3. Studying at ULB
  4. Find your course
  5. UE
MATH-S1011

Mathématique générale : analyse

academic year
2023-2024
2024-2025

Course teacher(s)

Luca Paolo Merlino (Coordinator), Bram DE ROCK and Thomas DEMUYNCK

ECTS credits

5

Language(s) of instruction

french

Course content

The calculus course, after a short introduction on the set of real numbers, relations and functions, covers the concepts of

- topology on IR (bounded, open and closed sets; interior, adherent and accumulation points)

- convergence of real sequences (sub-sequences, operations on convergent sequences, infinite limits, monotone and bounded sequences)

- limits and continuity of functions of one real variable (properties of limits, limits and inequalities, infinite limits, monotone functions, continuous image of an interval, discontinuities)

- derivative of a function of one real variable (properties of differentiable functions, theorem of Rolle and mean value theorem, differential, elasticity, Taylor expansion, optimization)

- concave and convex functions.

Objectives (and/or specific learning outcomes)

LG2. Academic mindset
LO 2.2  Display critical thinking, logical and abstract reasoning and develop an independent approach to learning

LG3. Quantitative skills
LO 3.1  Solve standard mathematical problems
LO 3.3  Assess the quality of the a quantitative analysis of an economic problem

Prerequisites and Corequisites

Courses requiring this course

Teaching methods and learning activities

Theory: ex cathedra course.

Notes for the theoretical part: slides that are projected (and commented!) during the course.

Exercises: students are divided into groups for exercise sessions.

Exercise booklet divided into 12 lessons, each of which starts by a short reminder of the corresponding theory followed by some solved exercises, plus some proposed exercises (final answers (at least) are provided).
Some solved exams from previous years are available on the "université virtuelle".

During the academic year, guidance sessions and assistance are organized.

References, bibliography, and recommended reading

Cours de mathématiques pour économistes, 1989, Philippe Michel, Economica.

Mathématique pour économistes et gestionnaires, 2010, Louis Esch, 4e édition, ouvertures économiques, De Boeck Université.

Course notes

  • Podcast
  • Université virtuelle
  • Syllabus

Other information

Contacts

Bram DE ROCK Bâtiment R42 - 6e niveau - bureau R42.6.218 - Tél.: (02) 6504214 - e-mail: Bram.De.Rock@ulb.be
Thomas DEMUYNCK Bâtiment R42 - 6e niveau - bureau R42.6.220 - Tél.: (02) 6504221 - e-mail: thomas.demuynck@ulb.be
Marjorie GASSNER Bâtiment H - 4e niveau - bureau H.4149 - Tél.: (02) 6503843 - e-mail: marjorie.gassner@ulb.be

Campus

Solbosch

Evaluation

Method(s) of evaluation

  • written examination

written examination

A written exam on the theory as well as the exercises takes place during the January exam session. This exam can be taken again during the May/June exam session. In such a case, the grade obtained in May/June replaces the one obtained in January. 

The final first-session grade for the course MATH-S-101 is the average of the grades obtained for Calculus and Linear Algebra.

During the second exam session (August/September), a written exam of the same type as the one organized during the first exam session is organized. 

Mark calculation method (including weighting of intermediary marks)

100% written exam.

Language(s) of evaluation

  • french

Programmes