Course detail

Computer Physics II

FSI-T2FAcad. year: 2023/2024

Independent physical problems solving using the computer. Problems are selected to amplify the knowledge of the numerical methods application for engineering calculations. In addition to Excel and MathCad, students use also MatLab, Maple or other programming environment according the content of individual projects.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

doc. RNDr. Miroslav Doložílek, CSc.

Department

Institute of Physical Engineering (ÚFI)

Entry knowledge

Programming of macros in Visual Basic for MS Excel. Fundamentals of Mathcad and MATLAB environment. Solution of the differential equations system. Fourier series, expansion of functions.

Rules for evaluation and completion of the course

To receive a graded course-unit credit, students have to solve all assigned tasks and work-out an individual project. The theme of the project is assigned during the term according to the mutual agreement. The form of the submission of the project is specified in the project assignment. A student will present a paper about the results of the project. Students are evaluated predominately according to the quality of the project:
problems solving 30%,
the individual project 70%.
A teacher checks the attendance on seminars stated in the timetable. The form and the date of the compensation of missed lessons are specified by the teacher.

Aims

The aim of the course is to deepen the knowledge of a PC usage in engineer`s everyday work .After completing the course students should be able to use PC effectively for engineering calculation tasks and the evaluation and presentation of technical measurements. Independent work of students is required.
Students will get the idea and acquire the experience of using different programming tools (MathCad, MatLab, etc) for the solution of engineering computational tasks.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Gould, H. - Tobochnik, J.: An Introduction to Computer Simulation Methods. Part 1 and 2. Adison-Wesley Publishing Company, 1995.
Wieder, S.: Introduction to MathCad for Scientists and Engineer. McGraw-Hill, Inc. New York, 1992.
Zimmerman, R.L. - Olness F.I.: Mathematica for Physics. Addison-Wesley Publishing Company, 1989.

Type of course unit

Lecture

13 hod., optionally

Teacher / Lecturer

doc. RNDr. Miroslav Doložílek, CSc.

Syllabus

Tasks solved in seminars in computer labs are introduced at lectures. They are focused on:
- the physical base of solved exercises,
- the common context of the numerical methods and algorithms used for the solution,
- programming methods, particularity and restrictions of the programming environment used for the solution.

Computer-assisted exercise

13 hod., compulsory

Teacher / Lecturer

doc. RNDr. Miroslav Doložílek, CSc.

Syllabus

Coupled harmonic oscillators and normal mode behaviour. Numerical solution of the system of the differential equations.
Chaotic motion of dynamic systems. A simple one-dimensional map and their common characteristics. Chaotic behaviour in classical mechanics.
Random numbers. Testing of random numbers generators (uniformity, periodicity, etc). Transformation of the distribution, Random walks.
Fourier expansion of a periodic function. Fast Fourier transformation.
Frequency analysis of real audio signal time windows. Filtration of a noise signal.
Errors of numerical calculations. Well-posed and conditioned tasks. Stability of the solution.
Individual project.

VUT

Faculties

University Institutes

Parts

Computer Physics II

Type of course unit