TCSS5AA: Mathematics 1: Numerical analysis | Duration : 30 hours | ECTS Credits : 3.5 | Semester: S5 | |
Course Title: Mathematics 1: Numerical analysis | ||||
Person(s) in charge: Antoine Henrot and Xavier Antoine, Professor xavier.antoine@univ-lorraine.fr, antoine.henrot@univ-lorraine.fr | ||||
Keywords :Numerical analysis, simulation, linear algebra, approximation, MATLAB
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Prerequisites : Basic Mathematics
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Objective: Fundamentals of numerical analysis and MATLAB programming
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Program and Contents: Errors in numerical analysis Non linear equations resolution Polynomial interpolation Numerical integration and derivation, finite difference methods Ordinary differential equations : theory and quadrature methods Linear systems resolutions Numerical optimization
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Abilities: | ||||
Levels | Description and operational verbs | |||
Know | The fundamental aspects of numerical analysis for engineering and scientific calculus | |||
Understand | Numerical simulations as a prediction tool, with its qualities as well as its limits | |||
Apply | Resolving the practical issues related to engineering development with algorithmic methods | |||
Analyse | Numerically modelling simulation situations, and graphically analysing the results | |||
Summarise | All the methods and numerical models in regards of complex and realistic problem solving | |||
Assess | The relevance of the obtained results from a numerical simulation and comparing it to the experiment | |||
Evaluations : | ||||
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