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6.00 credits
30.0 h + 30.0 h
Q1
Language
French
Prerequisites
The course has no prerequisites other than the mathematical background corresponding to a program of at least 4 hours of mathematics during the final years of secondary education. This course is reserved for enrolled students.
Main themes
The teaching aims to lay the foundations for a systematic approach to problem analysis and solving in management sciences. It seeks to answer the following questions:
- How can one express ideas rigorously in quantitative terms?
- What mathematical tools allow for precise and structured analysis?
- How can these tools be effectively implemented?
Learning outcomes
At the end of this learning unit, the student is able to : | |
| 1 | This mathematics course ("analysis" part) is primarily dedicated to a general introduction to the use of mathematics in management sciences and the study of "real functions of a real variable." The objectives and purposes of the course can be summarized in three essential dimensions: Learning mathematical tools (which directly targets a set of knowledge). The expected outcome is a reasonable ability to manipulate the notions studied in the course, which are the fundamental concepts used in the quantitative models and methods in economics and management sciences. Learning formal and rigorous reasoning (which is more challenging to achieve and focuses more on mathematical modeling skills). Developing student autonomy in work and learning approaches. This course is applied to mathematical formalization in economics, political, and social sciences in general, with a particular emphasis on management applications. It aims to prepare students for the study of advanced or "state-of-the-art" quantitative models for analysis and decision-making in various management fields. The contribution of this UE to the development and mastery of the skills and learning outcomes of the program(s) is accessible at the end of this document, in the section "Programs/courses offering this teaching unit." Regarding the LSM Compass, the targeted skills are: Knowledge and reasoning. Regarding the Transition Wheel, the targeted skills are: Scientific knowledge and methods. Both concern the dimension Scientific knowledge and approach. |
Content
- Logics, sets, real numbers
- Sequences, series, limits
- Real-valued functions: Classical functions, graphs, limits, continuity
- The derivative and its applications
- Optimisation in one variable
- Integration
- Ordinary differential equations
- Mathematical proofs
Evaluation methods
Students will be evaluated in a written exam at the end of the course.
Online resources
https://moodleucl.uclouvain.be/course/view.php?id=7508
Teaching materials
- Mathématiques pour l'économie, K. Sydsaeter et P. Hammond, 5e édition, Pearson
Faculty or entity
