--- title: Maths training ---  # Maths training -- Group 2 ## Planning Schedule 9-12AM, room 316. | Wed 4th | Thu 5th | Fri 6th | Mon 9th | Tue 10th | Wed 11th | | -------------- | ------------------------------- | ------------------------------- | ----------------- | ------------------------ | ------------------------ | | Linear algebra | Linear algebra | Probabilities and Markov chains | Dynamical systems | Free time for questions | Statistics | | | Probabilities and Markov chains | Dynamical systems | | | | | | | | | ==Course ends at 11.30== | ==Course ends at 11.30== | ## Homework * For Thursday, 5th September : * exercise 1 of the [Linear algebra](https://hub.bio.ens.psl.eu/index.php/s/2MgoBKjTqMoKSXT/download/exercises_linear_algebra.pdf) sheet + for linear applications, calculate the matrix. * calculate the characteristic polynomial of the matrix \begin{equation} M = \begin{pmatrix} 3 & 1 & 1 \\ 1 & 3 & 1 \\ 1 & 1 & 3 \end{pmatrix} \end{equation} ie $\det(M-\lambda I_3)$ and find the eigenvalues. * For Friday, 6th September : * exercise 4 of the [Markov chain](https://codimd.math.cnrs.fr/s/k_XMH8NVc) sheet : only question 1 + partition of states ## Exercises * [Differential equations](https://codimd.math.cnrs.fr/s/kDYb6vnKq#) * [Dynamical systems](https://hub.bio.ens.psl.eu/index.php/s/5JjYTdpsSEEBzDC/download/dynamical_systems_exercises.pdf) * [Markov chains](https://codimd.math.cnrs.fr/s/k_XMH8NVc) * [Linear algebra](https://hub.bio.ens.psl.eu/index.php/s/2MgoBKjTqMoKSXT/download/exercises_linear_algebra.pdf) * [Stats](https://hub.bio.ens.psl.eu/index.php/s/TjyQHEDjHZfifK5/download/exercises_stats.pdf) ## Resources * [Memo linear algebra](https://codimd.math.cnrs.fr/s/H6hjn2FUX#) * [Cheat sheet probabilities](https://codimd.math.cnrs.fr/s/k-RhvcpOv#) * [Course differential equations](https://hub.bio.ens.psl.eu/index.php/s/dXm3EZoPfMWfXCC) (in French) * [Statistics memo](https://codimd.math.cnrs.fr/s/_UZZ6PCog#) and [slides](https://codimd.math.cnrs.fr/s/o2cQbsiHz#) [Course notebook](http://www.normalesup.org/~bperezlamarq/training_imalis/Training_v1_2020.pdf), not up to date. (c) Benoît Perez-Lamarque and Antoine Sicard. ## Contact **Teacher** Pierre Veron, PhD student `pveron [at] bio.ens.psl.eu` **Course supervisor** Amaury Lambert, Professor `amaury.lambert [at] ens.psl.eu` ## Links [Course webpage on the department site](https://www.edu.bio.ens.psl.eu/spip.php?article102)