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Objectives of the ISC3 half course :

  • Feel at ease with basic mathematical/numerical tools for scientific computing and computational methods 
  • Use a numerical development environment: python into Jupyterlab 
  • Apply mathematical tools to some real applications and Engineering problems
  • How to use python/numpy/matplotlib to solve the problems
  • Learn the use of LaTeX typesetting system for technical mathematical writing (into notebooks) 
  • Be ready for the next ISC4 half-course (2nd trimester)

The half course unit (3 credits) is organized into 7 chapters :

  • Chapter 1 : mathematical prerequisites, introduction to Jupyterlab and python/numpy
  • Chapter 2 : polynomial interpolation
  • Chapter 3 : linear approximation techniques
  • Chapter 4 : solution of algebraic equations
  • Chapter 5 : ordinary differential equations (ODEs)
  • Chapter 6 : numerical schemes for differential equations
  • Chapter 7 : differential algebraic equations (DAEs, if remainding time)

 

Weekly: 2h amphi course + 2h computer tutorial in Computer room (+1h personal work, notebook completed)

Evaluation: 50% tutorial works in UTC Computer room + 50% final examination (end of october)

 

Example of a Jupyter notebook for tutorial works

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