Scientific calculations and numerical methods - course description

General information

Course name	Scientific calculations and numerical methods
Course ID	13.7-WF-FizP-SCNM-S17
Faculty	Faculty of Physics and Astronomy
Field of study	Physics
Education profile	academic
Level of studies	First-cycle studies leading to Bachelor's degree
Beginning semester	winter term 2022/2023

Course information

Semester	5
ECTS credits to win	3
Available in specialities	Astrofizyka komputerowa
Course type	obligatory
Teaching language	english
Author of syllabus	dr Krzysztof Maciesiak

Classes forms

The class form	Hours per semester (full-time)	Hours per week (full-time)	Hours per semester (part-time)	Hours per week (part-time)	Form of assignment
Class	45	3	-	-	Credit with grade

Aim of the course

Learning basic both theoretical and practical skills in numerical methods. Moreover, writing computer codes and using already existing procedures to analysing research results, especially statistics. Computer simulations e.g. Monte Carlo or simple genetic algorithm.

Prerequisites

Finished course: Programming basics, Programming languages and paradigms.

Scope

- Interpolation – equations (Lagrange, Newton), selection of interpolation nodes and converging of interpolation processes.

- Approximation – least squares, polynomial, trigonometrical, fast Fourier transform.

- Numerical integration.

- Obtaining pseudorandom numbers with a set distribution.

- Approximate solving non-linear equations.

- Methods of solving boundary conditions for ordinary differential equations.

- Monte Carlo simulations in astronomy.

- Basics of genetic algorithms.

Teaching methods

Programming exercises

Learning outcomes and methods of theirs verification

Outcome description	Outcome symbols	Methods of verification	The class form

Assignment conditions

Get a pass from minimum 75% programming tasks.

Notes

Modified by dr Marcin Kośmider (last modification: 04-04-2022 20:49)

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