UCL - Management Science: Deterministic models

[INGE1216]

[30h + 15h] 5 credits

Teacher(s): Philippe Chevalier, Mathieu Van Vyve

Language: French

Level: First

Aims
Main themes
Content and teaching methods

Aims

This mathematics course is the third part of the course of Mathematics given in BAC1. This part is devoted to the optimization and differential equations.
We can summarize the objectives and purposes of the course to three dimensions:
- The learning of the mathematical tool (which is directly targeted a set of knowledge). Acquis should be a reasonable ability to handle the concepts discussed in the course, which are the basic concepts used in the models and quantitative methods in economics and management.
- The learning of a formalized and rigorous reasoning (which is more difficult to achieve and is more of "knowledge" of mathematical modeling)
- The development of student autonomy in the workplace and in the process of learning.
This course is applied to the mathematical sciences in economic and social policies in general, with particular emphasis to business applications. It aims to prepare students for the study of advanced quantitative models or "state of the art" analysis and decision support in different areas of management

Main themes

Education focuses on the approach to modeling, and on solving problems in applications and management science by using mathematical methods or formal logic. It aims to develop a systematic analysis and resolution: What is the matter in quantitative terms, what model is the question correctly? What tools are useful? The conditions of application are respected? How to implement these tools, what is the solution of the model? What is the answer to the original question (in the context of the original question, not in the world of its mathematical abstraction or logic)?

Content and teaching methods

- Optimization without constraints
- Optimization under constraints
- Linear programming
- Equations differences
- Differential Equations
Each topic is dealt with examples and illustrations in Economics and Management
The course is given in the form
- lectures (the teacher defines the concepts, demonstrates the results, and illustrated with an application),
- of exercises (the teacher will submit applications / problems for students and offers a resolution )
- supplemented by active participation of students in the form of lectures, independent resolution of problems, reports of resolution of cases, tests.