260098 PUE Scientific Computing (2024S)

The topics discussed in the main lecture "Scientific Computing" are applied via exercises and hands-on sessions.
The goal of the course is to learn to write computer codes for the numerical solution of problems in the field of numerical mathematics.
Topics to be discussed are, among the others:
- systems of linear equations
- error and convergence analysis
- regression analysis
- solution of nonlinear equations
- linear eigenvalue problems
- interpolation
- numerical differentiation
- numerical integration
- ordinary and partial differential equations

The chosen programming environment is Python.
Students are supposed to have Python 3 installed on their laptops before the first class (March, 7th), and to have at least a basic knowledge about Python coding.

Please try to be present for the first lecture (March, 7th) as details about logistic, organization and other important matters will be discussed.
If, for any reason, you cannot be in class but you still want to attend the course, please communicate your absence by email.

There are a total of 12 sessions organized as follows (more details in Moodle):
- The first class will be used to present the course and set up the Python Environment.
- The second and third class will be used to recall the Python programming language basics.
- The fourth class, and every second class after that, will be a hands-on session where students are supposed to work on the assigned exercises and can ask questions to the teacher and the tutor.
- In the fifth class, and in every second class after that, a presentation will be held by selected students (volunteers are highly encouraged) where programs are explained and discussed.