During the course we will learn about many applications of PDEs and methods of solving them.

During the semester you will collect points from various activities.

• Solving problems (10 points). During each tutorial class you will present solutions of problems from the published sets (see below). Probably not every problem from each set will be presented due to time limitations (but we shall see).

If it will physically be impossible to score 10 points from the problem solving part due to a large number of volunteers (approximately an uniform distribution of points), then we will rescale the total number of points so that everyone working systematically will be awarded.

• Test (20 points). There will be one test during the semester approximately in the middle.

This will concern application and implementation of a chosen PDE problem. The details will be given in March. Projects are necessary to pass the course.

Project rules

Choosing a topic: 2 April
Project deadline: 9 June
Project upload: ePortal

Notes concerning numerical methods.

There will be two possible examinations. Everyone has to take the primary exam. The secondary is only for those who will fail to score the minimal passing number of points throughout the semester. The successful secondary exam grants the minimal grade, that is $3.0$.

1. Primary. 27.06 from 09:00 until 11:00 in 1.27@C13.
2. Secondary. 04.07 from 09:00 until 11:00 in 1.27@C13.

Details will be given in the future.

In total you can obtain $S \leq 70 = 30 + 15 + 25$ points. The final mark will be derived from the table below. I reserve the right to change these rules but only for your convenience.

In order to pass it is obligatory to return the project.

Here you can find the contents of the course that has been covered so far.

Lecture Notes contain more material that we will be able to cover. I will indicate what is obligatory, however, going through all the book is certainly beneficial.

There are many more problems on the list than you will be able to solve during your classes. However, it is strongly recommended to practice as much exercises as possible on your own. Moreover, during the tutorial you will be required to solve also the modelling or more difficult problems (and not only the standard calculation practice).

Problem Set 1 - First order equations and shock waves Problem Set 2 - Fourier's method Problem Set 3 - Heat equation Problem Set 4 - Laplace's and Poisson's equation