This is the first course on partial differential equations (PDE) with applications in sciences and engineering. The objective is two-fold: To cover an up-to-date basic theory and to introduce some modern approximation tools. In the theoretical part we study existence, uniqueness and stability concepts for the basic PDEs: Poisson, heat, and wave equations. As for the approximation we focus on constructing and analysing Galerkin methods from two point of views. On one hand we consider the numerical analysis aspects of the approximation procedure: such as, variational principle, minimization problem and representation theorems, on the other hand we deal with the important implementation aspects of

*a priori*and*a posteriori*error estimates, and construction of numerical algorithms deriving, e.g., stiffness-, mass- and convection matrices.**Syllabus**The course is given

- in the fist part of spring
- jointly with Chalmers TMA372

#### Course information 2021

- Course coordinator: David Cohen

#### Course information 2020

- Course coordinator: Mohammad Asadzadeh

#### Course information 2019

- Course coordinator: Mohammad Asadzadeh

#### Course information 2018

- Course coordinator: Mohammad Asadzadeh
- Schedule 2018

#### Course information 2017

Course coordinator: Mohammad Asadzadeh

Schedule 2017

Course coordinator: Mohammad Asadzadeh

Schedule 2017

- Course coordinator: Mohammad Asadzadeh
- Schedule 2016

#### Course information 2015

- Course coordinator: Mohammad Asadzadeh
- Schedule

#### Course information 2014

- Course coordinator: Mohammad Asadzadeh
- Schedule

#### Course information 2013

- Course coordinator: Mohammad Asadzadeh
- Schedule

#### Course information 2012

- Course coordinator: Mohammad Asadzadeh
- Schedule

#### Course information 2011

- Course coordinator: Mohammad Asadzadeh
- Schedule

#### Course information 2010

- Course coordinator: Mohammad Asadzadeh
- Schedule

#### Course information 2009

- Course coordinator: Mohammad Asadzadeh
- Schedule

#### Course information 2008

- Course coordinator: Mohammad Asadzadeh
- Schedule