Objectives
This course presents the basic tools of mathematical analysis necessary for the study of the models encountered in engineering and research.
Keywords
Mathematical analysis, integration, optimization, ordinary differential equations.
Programme
Notions of differential calculus. Optimization: free and bound extrema. Integration. Ordinary differential equations.
Learning Outcomes
- Be able to study an optimization problem without or with constraint, existence of extremum, optimality conditions, Lagrange multipliers.
- Mastering integral calculus.
- Be able to study a system of differential equations (existence, elementary qualitative analysis).
- Knowing how to situate the degree of difficulty in the mathematical analysis of a problem.
Assesment
Final mark = 80% Knowledge + 20% Know-how Knowledge mark = 100% final exam + 0% continuous assessment Know-how mark = 0% final exam + 100% continuous assessment