Objectives of Programme's Learning Outcomes

• Implement an engineering approach dealing with a set problem taking into account technical, economic and environmental constraints
• Design, evaluate and optimise solutions addressing the problem
• Identify and acquire the information and skills needed to solve the problem
• Understand the theoretical and methodological fundamentals in arts, science, engineering and construction to solve problems involving these disciplines
• Identify, describe and explain the basic artistic, scientific and mathematical principles
• Demonstrate thoroughness and independence throughout their studies
• Develop scientific and cultural curiosity and open-mindedness
• Learn to use various resources made available to inform and train independently

Learning Outcomes of UE

discuss the proof of theorems and identify the impact of their hypotheses.
solve a system of differential equations using Laplace transform or exponential of matrices
compute and use Fourier series and Fourier transforms
understand the basic principles of partial differential equations

understand and apply the theory of functions of complex variables, oriented towards engineering applications
 

UE Content: description and pedagogical relevance

ordinary differential equations; Laplace transforms; series of functions, Cauchy problem; systems of differential equations; Fourier series, Fourier transform;

introduction to partial differential equations

fonctions of a complex variable ; inversion of Laplace transform;  z transform

Prior Experience

Calculus