# Mathematical Physics Seminary

2023/2024
Programme:
Applied Physics, First Cycle
Year:
3 year
Semester:
second
Kind:
mandatory
ECTS:
5
Language:
slovenian
Course director:
Lecturer (contact person):
Hours per week – 2. semester:
Lectures
0
Seminar
4
Tutorial
0
Lab
0
Prerequisites

Content (Syllabus outline)

Graphical representation of functions and fields in one and more dimensions. Search for function extremes and zeros. Matrix diagonalization. Numerical integration. Monte Carlo methods for numerical integration and modeling of probability distributions. Numerical solutions of differential equations of first and higher degrees. Numerical solutions of differential equations in many dimensions. Solving partial differential equations. Numerical Fourier transforms and Fast Fourier Transform methods.

1.) Numerical Recipes: The Art of Scientific Computing, Third Edition (2007), 1256 pp. Cambridge University Press ISBN-10: 0521880688

2.) Skripta za Matematično fizikalni seminar z primeri, dosegljiva na spletu: www-f9.ijs.si/~kersevan/

Objectives and competences

Objectives: Advanced understanding and application of numerical methods in Physics calculations. Presentation of basic numerical methods and their use in calculating and modeling representative Physics problems.

Competences:
The competence to use numerical modeling for solving Physics problems.
Mastering the principal numerical methods and approaches.
The skill to research the existing methods in scientific literature and adequate implementation of these.
The competence to code the numerical methods in at least one of programming languages and programming tools.

Intended learning outcomes

Knowledge and understanding:
Familiarity and understanding of fundamental numerical methods and approaches in solving Physics problems. Understanding the principles and limitations of different apporaches in numerical calculations and modeling of Physics problems.
Application of Physics principles and approaches using numerical calculations in problem solving in represetative cases.
Application of simplified models for numerical calculations with substantiated and explained validity of simplifications applied.

Learning and teaching methods

Individual tasks with practical and actual tasks of applying numerical methods, with presentation of the background and context of the category and type of problems and methods of solving these, computer demonstrations.

Assessment