Objectives of Programme's Learning Outcomes

• Implement an engineering approach dealing with a set problem taking into account technical, economic and environmental constraints
• 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
• Identify, describe and explain the basic principles of engineering particularly in their specialising field
• Select and rigorously apply knowledge, tools and methods in sciences and engineering to solve problems involving these disciplines
• Collaborate, work in a team
• Identify and appropriately implement the different ways of working in a group
• Communicate in a structured way - both orally and in writing, in French and English - giving clear, accurate, reasoned information
• Argue to and persuade customers, teachers and a board both orally and in writing
• Demonstrate thoroughness and independence throughout their studies
• Identify the different fields and participants in engineering
• Demonstrate self-awareness, asses themself, and develop appropriate learning strategies.
• Develop their scientific curiosity and open-mindedness
• Learn to use various resources made available to inform and train independently

Learning Outcomes of UE

Recognise the various mathematical objects of the course. Understand the theorems and their hypotheses. Recognize the different types of mathematical problems discussed during the course: differential equations, systems of differential equations, linear differential equations, linear differential equations with constant coefficients, partial differential equations, problems in complex analysis. Manipulate and make use of the transforms of functions: Fourier series, Fourier transforms and Laplace transforms. Manipulate and make use of complex analysis to solve mathematical problems. Apply the mathematical notions and theorems of the course to solve problems of the types that were met during classes. Apply the mathematical notions and theorems of the course to solve new problems.

UE Content: description and pedagogical relevance

Differential equations and associated techniques of resolution. Fourier series. Complex Analysis. Fourier Transforms. Laplace transforms. Linear partial differential equations: heat, wave and Laplace. Techniques of resolution: direct, via Fourier and Laplace transforms, via complex analysis.

Prior Experience

The course of mathematics I and II.