6.0 credits
45.0 h + 30.0 h
1q
Teacher(s)
Van Vyve Mathieu ;
Language
Français
Main themes
Gone 1: Wholes, Relations and Elements of formal logic
Wholes. Numbers. Relation of order. Theorems and methods of demonstration.
Gone 2: Plane geometry: tie algebra - geometry
Distance in the plan. Rights and circles. Equations and Inequations.
Gone 3: Real functions of a real variable, elements of analysis.
Definition. Graphs of function. Limits. Continuity. Derivative. Applications of the derivative. Optimization of functions of a variable. Functions powers, polynomials, exponential and logarithms.
Derivative of superior order. Linear and polynomial (Taylor) approximations (differential). Integration.
Gone 4: Introduction to the functions of several variables
Representation of the functions to two variables. Derivative partial, economic Applications. Tools of comparative statics: Rule of derivation in chain, Springiness.
Gone 5: Introduction to the matrix calculation
Matrixes. Resolution of linear systems. Inverse. Determining.
The teaching puts the accent on the gait of modelling, and on the resolution of applications or problems in economics, political and social with the help of mathematical methods or formal logic. He/it aims to develop a systematic gait of analysis and resolution
Aims
This first math course is dedicated to the study of the real functions mainly to a real variable. The course also introduces to the study of the functions to several real variables and to the matrix calculus, and browses a large palette of techniques and essential mathematical concepts for the practitioners of the economy and the management. One can summarize the objectives and finalities of the course to two essential measurements :
- The training of the mathematical tool (what aims a set of knowledge directly). The acquirement should be a reasonable capacity to manipulate the notions studied in the course, that is the fundamental notions used in the models and quantitative methods in social studies.
- The training of a reasoning formalized and rigorous (what is more difficult to to reach and aim "ability" of mathematical modelling more)
The course also has a function of refresher the level of the mathematical formation that the students received in humanities. For a part of the students, it will be about a revision in the specific context of social sciences, for another part, it will be about a refresher course.
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
The course is given
- of lectures (the teacher defines the concepts there, demonstrate the results, and illustrates them with the help of an application),
- of sessions of exercises (the teacher submits some applications / problems there to the students and propose a thimble-walk of resolution),
- completed by an active involvement of the students as readings, autonomous resolution of problems, reports of resolution of case, tests of knowledge,
Other information
Prerequisite: The course has no prerequisites other than the mathematical background for a program of at least 4h mathematics final years of school.
Evaluation: The evaluation takes into account the reports submitted during resolution the course, test results and the results of a written examination.
Support: Syllabus
Faculty or entity<
