Student in bio-chemistry courses © Arthur Pequin

Maths and linear algebra

Student in bio-chemistry courses © Arthur Pequin

Maths and linear algebra

Overview

The Health and Science is established since 2107 and proposes to the students of second year medical studies, pharmacology and odontology an early formation to research.

Course

  • Physical problem example: two weights bound with a spring. System of two bounded ordinary differntial equations (EDO). Solution with no linear algebra general theory.

  • Linear algebra discovering: vectors, matrices, basis operations: sum, product, trace, determinant, inverse. Notions of free family. Diagonalisation.

  • Two applied examples:

    • Square inverse problem (as much equations as variables): solution with matrix inversion.
    • Solve a system of coupled linear EDO thanks to diagonalisation.

Practical work on Python

  • General formalism over Python for vectors and matrices.
  • How can we do the loops ?
  • Square linear problem resolution.
  • Eigen-space decomposition.
  • Numerical solution of the problem: two weights bound with a spring.

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Hadrien Lorenzo
PhD student in Biostatistics

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