F2423 Computing practice 2

Faculty of Science
Spring 2020
Extent and Intensity
0/3/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Ing. arch. Petr Kurfürst, Ph.D. (lecturer)
Guaranteed by
Mgr. Ing. arch. Petr Kurfürst, Ph.D.
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: No timetable has been entered into IS.
Prerequisites
Mastering mathematics at the level of the course F1422 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
Acquiring routine numerical skills necessary for the bachelor course of physics and applied physics.
Learning outcomes
Students will be able to:
- solve the surface integrals of the 1st and 2nd types and the volume integrals and apply them to physical and geometric situations in Cartesian, cylindrical and spherical coordinates;
- solve the above-mentioned integrals using integral theorems - Green's, Stokes' and Gauss's;
- master the principles of the expansion of functions of one or more variables into series - Taylor and Fourier - and use these expansions to solve physical problems;
- understand the basics of computation with complex numbers and complex variable functions;
- understand the basics of tensor algebra.
Syllabus
  • 1. Double integral: Fubini's theorem, integral transformation theorem, physical applications (surface area, physical characteristics of two-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 2. Triple integral: Fubini's theorem, integral transformation theorem, physical applications (volume, physical characteristics of three-dimensional structures with continuously distributed mass, i.e., total mass, center of gravity, moments of inertia).
  • 3. Surfaces in three-dimensional Euclidean space: parametrization, Cartesian equations.
  • 4. Surface integral of the first type, physical characteristics of surface formations (mass, center of gravity, moment of inertia).
  • 5. Surface integral of the second type, physical applications (vector field flux through the surface).
  • 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 continuum mechanics.
  • 10. Expansion of functions to series: Taylor series, physical applications (estimates).
  • 11. Expansion of functions to series: Fourier series, applications (Fourier signal analysis).
  • 12. Fundamentals of tensor algebra.
Literature
    recommended literature
  • KURFÜRST, Petr. Početní praktikum. 2. vyd. Brno: Masarykova univerzita, 2017. Elportál. ISBN 978-80-210-8686-9. html PURL url info
  • 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
Practical course based on solving typical problems.
Assessment methods
According to the 'Masaryk University Study and Examination Regulations', Article 9 (2), attendance at lessons is obligatory for full-time students, only one unexcused absence during the semester is allowed. Attendance at lessons can be substituted by additional examples from the textbook "Kurfürst Petr, Computational Practice, 2017", published on the course pages, these examples will be individually assigned by the teacher. Additional examples must be submitted by the end of the examination period, but it is better to submit them continuously. The activity in the course is evaluated by crediting one point to the appropriate student for correct and complete solution of one of the given examples. The semestral stuff is divided into three sub-exams, which will be written during the semester, typically in the 5th, 9th and last week. A maximum of 10 points can be earned for each exam. Students who earn less than 15 points during the semester will write the fourth test of the whole semester. There is a time limit of 60 - 90 minutes per test. At their own discretion, previously successful students can also improve their grading by oral examination. Students in the combined form also write 3 sub-exams or they can write one summary exam in the exam period. The final grading is determined from the total number of points earned during the semester. All details regarding the method of grading and more are given on the course pages on my 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 2016, Spring 2017, spring 2018, Spring 2019.
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