F2423 Computing practice 2

Faculty of Science
Spring 2011
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Marek Chrastina, Ph.D. (lecturer)
prof. RNDr. Jana Musilová, CSc. (lecturer)
Guaranteed by
prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Marek Chrastina, Ph.D.
Timetable
Wed 8:00–10:50 F3,03015
Prerequisites
It is recommended to master basic operations of differential and integral calculus on the secondary school level.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Routine numerical skills necessary for bachelor course of general physics and basic biophysics.
Syllabus
  • 1. Double integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a surface).
  • 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, centre of mass, moment of inertia of a body).
  • 3. Surfaces in threedimansional euclidean space: parametrizations, cartesian equations.
  • 4. Surface integral of the first type, physical characteristics of bodies (mass, center of mass, tensor of inertia).
  • 5. Surface integral of the secnond type, physical applications (flow of a vector field).
  • 6. Calculus of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of integrals and integral theorems: Integral and differential form of Maxwell equations.
  • 9. Applications of integral theorems in fluid mechanics.
  • 10. Series of functions: Taylor series, physical applications (estimations).
  • 11. Series of functions: Fourier series, applications (Fourier analysis of a signal).
  • 12. Elements of tensor algebra.
Literature
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 1. Praha: Academia, 1989, 383 s. ISBN 8020000887. info
Teaching methods
Seminar based on the solution of the typical problems.
Assessment methods
Final grade will be determinated from the sum of marks achieved from 3 particular written tests. 5 marks can be achieved in each particular test. Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by compensatory homework. Deadline for compensatory homework is 27.6.2011.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://physics.muni.cz/~chm/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2011, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2011/F2423