F2423 Computing practice 2

Faculty of Science
spring 2018
Extent and Intensity
0/3. 3 credit(s). Type of Completion: zk (examination).
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: Thu 17:00–19:50 F4,03017
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 physics and applied physics.
Learning outcomes
Student will be able after completing the course:
- to solve surface integrals of 1st and 2nd type and volume integrals and to apply them to physical and geometrical situations in Cartesian, cylindrical and spherical coordinates;
- to solve the above integrals using integral theorems - Green, Stokes and Gauss;
- to master the principles of expansion of the functions of one or more variables in Taylor and Fourier series, and to use these expansions to solve physical problems;
- to understand the basics of calculating complex numbers and functions of complex variable;
- to understand the basics of tensor algebra.
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
• 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
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 for students of full-time form of study, there is only one unexcused absence tolerated during the semester. The absences can be compensated by elaboration of additional exercise from the set of examples in the textbook "Kurfürst Petr, Početní praktikum, 2017", published on the website of the course, selected individually by the teacher. Deadline for any additional homework is 30.6.2018, however, it is better to hand them over continually. Students also gain points for individual activity, each exercise activity is evaluated with one point for correct and complete solution of any of pre-assigned example. Subject stuff is divided into three particular credit tests, which are written during the semester, typically in the 5th, 9th and the last week. For each credit test student can obtain a maximum of 10 points. Student write fourth credit test from whole semester, if achieve less then 15 points. Time limit for each test is 60 - 90 minutes. The course may be completed also by oral examination. Students of combined form also write three particular tests or they can write one summary test during the exam period. Final grade will be determined from sum of all points gained by each student during the semester and eventually from knowledges proven at the oral exam. All the detailed informations about the method of final classification, and others, are also published on the website of the course 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 2019, Spring 2020.
• Enrolment Statistics (spring 2018, recent)