Objectives of Programme's Learning Outcomes

• Implement an engineering approach dealing with a set problem taking into account technical, economic and environmental constraints
• Understand the stages of an engineering approach
• 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
• 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
• Demonstrate self-awareness, asses themself, and develop appropriate learning strategies.
• Direct their choice of modules within their degree programme in order to develop a career plan in line with the realities in the field and their profile (aspirations, strengths, weaknesses, etc.)
• 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 different type of numerical problems. Apply the correct numerical methods to solve those problems. Discuss the advantages, disadvantages and limitations of the various numercial methods. Understand and explain why those methods work. Recognise an ill posed problem. Recognise an ill conditionned problem. Implement the numercial methods in Matlab/Octave. Write numerical code on paper before implementing it in the computer.

UE Content: description and pedagogical relevance

Floating point representation. Systems of linear equations: direct and iterative methods. QR factorisation and least squares. Non-linear equations and systems of equations. Interpolation and approximation. Numerical integration. Differential equations with initial conditions. Differential equations with boundary conditions. Stability and conditioning.

Prior Experience

Mathématiques I et II.