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Main menu for Browse IS/STAG
Course info
KME / PMFB
:
Course description
Department/Unit / Abbreviation
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KME
/
PMFB
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Computer Modelling in Physics
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
3
Cred.
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Type of completion
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Oral
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Type of completion
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Oral
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Time requirements
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Lecture
2
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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0 / -
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6 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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10
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
Yes
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Fundamental theoretical course |
No
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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UMS/PMFB
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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Students will be familiarized with the dimensional analysis, the use of the theories of differential equations and the methods fro approximating solutions in modeling some real physical process.
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Requirements on student
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Conditions for the partial test:
test on overall knowledge (in the range of the courses).
Conditions for the final test:
The students must by a certifiable way demonstrate their knowledges in a written form.
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Content
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1. Dimensions, unities, basic variables, basic variables, dimensional independence and dependence.
2. Dimensional independence and dependence: exercises.
3. Pi-theorem (introduction, development, and examples).
4. Physical similitude
5. Self-similitude
6. Dynamic systems with one degree of freedom, equilibrium point, bifurcation
7. Dynamic systems with two degress of freedom, atractors
8. An example of dynamic system: Van Der Pol oscillator
9. Other examples: Lotka-Voterra system, retarded fall
10. Approximation for solving problems in physics: residua method, Galerkin method
11. Finite element method (1)
12. Finite element method (2)
13. Exhibitions of uses of some software products
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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-
Recommended:
Barenblatt, G.I. Similarity, Self-Similarity, and Intermediate Asymptotics. New York, 1977.
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Recommended:
Krempaský, Július. Synergetika : v astrofyzike, chémii, biológii, ekológii, medicíne, ekonómii a v sociológii. Vyd. 1. Bratislava : Veda, 1988.
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Recommended:
Slavík, Jan. Teoretická mechanika : moderní přehled. I. díl. 1. vyd. Plzeň : Pedagogická fakulta Západočeské univerzity, 1994. ISBN 80-7043-105-9.
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Recommended:
Slavík, Jan. Teoretická mechanika : moderní přehled. II.. 1. vyd. Plzeň : Pedagogická fakulta Západočeské univerzity, 1995. ISBN 80-7043-158-X.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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26
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Preparation for an examination (30-60)
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60
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Total
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86
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
The students know basic methods for solving linear differential equations, basic rules for solving systems of linear equations, Taylor development, matrix and vector calculus (calculus of eigenvalues). |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
The students will be able to analyze a problem in physics, to choice the suitable variables and to verify their supposition using the dimensional analysis. They will be able to rewrite the equations of the physical problem in a adimensional form. They will be able to study the equilibrium points of the solution, to dispute their stability and the eventual bifurcations of the trajectories in dynamical case. They will be also familiarized with the finite element method for approximating solution of static problems. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Written exam |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture supplemented with a discussion |
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