Mathematics in Economics and Management II
[ECGE1230]
[45h + 30h] 6 credits
Teacher(s): Raouf Boucekkine
Language: French
Level: First
Aims
- Learning about the mathematical tool (which is directly targeted a set of knowledge). The achievements 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 social sciences.
- The learning of a formalized and rigorous reasoning (which is more difficult to achieve and is more of "knowledge"; of mathematical modeling)
Main themes
Part 1: Linear Algebra. Indépendance linear bases, vector spaces. Fundamental theorem of linear algebra. Values and eigenvectors. Diagonalisation. Dynamical Systems. Quadratic forms.
Part 2: Analysis and Optimization of functions on several variables functions Théorème implied partial derivative of higher order, Hessienne matrix. Optimization free Optimization under constraints (equalities and inequalities). Applications.
Part 3: Introduction to linear programming. Modeling and mathematical formulation of problems of decision support and optimization. Primal Simplex, Dual simplex, economic interpretation of dual sensitivity analysis.
Each topic is dealt with examples and illustrations in economics and management.
Content and teaching methods
- lectures (the teacher defines the concepts, demonstrates the results, and illustrated with an application),
- of exercises (the teacher makes 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 of knowledge, ...
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Evaluation: The evaluation takes into account the reports of resolutions presented during the course, test results and the results of a written examination.
Support: Syllabus