F2422 Fundamental mathematical methods in physics

Faculty of Science
Spring 2003
Extent and Intensity
2/1. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
Teacher(s)
Mgr. Pavla Musilová, Ph.D. (seminar tutor)
Mgr. Ondřej Přibyla (seminar tutor)
prof. RNDr. Jana Musilová, CSc. (lecturer)
Guaranteed by
prof. RNDr. Michal Lenc, Ph.D.
Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Timetable of Seminar Groups
F2422/01: No timetable has been entered into IS. P. Musilová, O. Přibyla
F2422/02: No timetable has been entered into IS. P. Musilová, O. Přibyla
Prerequisites
Differential and integral calculus of functions of one variable, theoretical background and practical calculus.
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 (in Czech)
Předmět je zaměřen na získání přehledu o základních matematických postupech používaných ve fyzikálních teoriích, především z oblasti matematické analýzy (diferenciální a integrální počet funkcí více proměnných, vektorová analýza, křivkový a plošný integrál, integrální věty, diferenciální rovnice). Důraz je kladen na pochopení základních pojmů, výpočetní praxi a fyzikální aplikace.
Syllabus
  • 1. Basic operations with scalar and vector functions of many variables, derivative along a direction, gradient, divergence, rotation. 2. Double and triple integral, Fubini theorem, transformation of integrals. 3. Total differential of functions of many variables. 4. Curve integral of the first and second type, work of a force field. 5. Surface integral of the first and second type, flow of a vector field. 6. Integral theorems. 7. Physical applications of integrals. Integral and differential form of Maxwell equations. 8. Applications of integral theorems in fluid mechanics. 9. Fourier series, applications. 10.,11. Some aspects of solving differential equations.
Assessment methods (in Czech)
přednáška+cvičení, klasifikovaný zápočet - viz podmínky v položce Informace učitele.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2002, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, 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 2003, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2003/F2422