F2423 Computing practice 2

Faculty of Science
Spring 2016
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Ing. arch. Petr Kurfürst, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F2423/01: Mon 17:00–19:50 F3,03015
F2423/02: Thu 17:00–19:50 F3,03015
Prerequisites
Mastering of mathematics on the level of the course Computing practice 1.
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
Obtain 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, center of mass, moment of inertia of a surface).
  • 2. Triple integral, methods of calculation (Fubini theorem, transformation of coordinates), physical and geometric applications (mass, center of mass, moment of inertia of a body).
  • 3. Surfaces in three-dimensional Euclidean space: parameterizations, 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 second type, physical applications (flux of a vector field).
  • 6. Practical calculations of surface integrals.
  • 7. Integral theorems.
  • 8. Physical applications of multidimensional integrals and integral theorems: differential and integral forms of Maxwell equations.
  • 9. Applications of integral theorems in fluid mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimations).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier analysis of a signal).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
  • ARFKEN, George B. and Hans-Jurgen WEBER. Mathematical methods for physicists. 6th ed. Amsterdam: Elsevier, 2005, xii, 1182. ISBN 0120598760. info
Teaching methods
Seminar based on the solution of typical problems.
Assessment methods
Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by elaboration of additional exercise from the set of examples in the textbook "Kurfürst Petr, Početní praktikum, 2015", published on the website of the course, selected individually by the teacher. Deadline for additional homeworks is 1.7.2016, however, better is to hand them over continually. Students harvest points for lecture activity. Each lecture activity is evaluated with one point for correct and complete solution of any of pre-assigned example. Subject matter is divided into three particular tests, which are written during the semester. For each test student can obtain a maximum of 10 points. Student write fourth test from whole semester, if achieve less then 15 points. Time limit for each test is 60 minutes. Students of combined form also write three particular tests. Final grade will be determinated from sum of all points gained by each student during the semester, the methodic of grading is published on course website.
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/~petrk/
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2016, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2016/F2423