National School of Applied Sciences - Agadir

Master: Embedded Systems & Biomedical Engineering

Course: Applied Mathematics

Course objectives

The student will learn some basic mathematical tools and gain experience in the modelling and simulation of physical and technical phenomena with partial differential equations.

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Course content

• Matrix algebra and eigenvalues

• Solving systems of linear equations

• Solving 2D linear dynamical systems

• functions in multiple variables

• Least squares optimization

• Solving partial differential equations (pde’s)

– Reaction-diffusion equations

– Population dynamics

– Finite differences method for discretizing pde’s

– Applications in image processing

• Radon Transforms for X-ray tomography

Labs and problems

Lab1 Matrices - Gauss elimination - images.pdf
Problem set - Matrix algebra.pdf
Problem set 2 Linear dynamical systems.pdf
Radon Transform.pdf
final exam matrix diagonalisation dynamical system.pdf

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