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 science and engineering to solve problems involving these disciplines
• Identify, describe and explain basic scientific and mathematical principles
• Select and rigorously apply knowledge, tools and methods in sciences and engineering to solve problems involving these disciplines
• Demonstrate thoroughness and independence throughout their studies
• Develop their scientific 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, with en emphasis on the identification of the impact of the hypothesis; Solve a system of differential equations using a Laplace transform or matrix exponential; Compute the Fourier series of a real periodical function, or a function defined over an interval; Use Fourier transforms in diverse applications; Know the basic elementary types of differential equations.

UE Content: description and pedagogical relevance

Ordinary differential equations, Laplace transform, Cauchy problem, systems of differential equations, series of functions, Fourier series, Fourier transforms, partial differential equations

Prior Experience

mathématiques pour l'ingénieur 1 et 2