Course: Mathematical Analysis 3

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Course title Mathematical Analysis 3
Course code KMA/MA3
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 7
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Fürst Tomáš, RNDr. Ph.D.
  • Tomeček Jan, doc. RNDr. Ph.D.
  • Ludvík Pavel, RNDr. Ph.D.
Course content
1. Lebesgue measure and integral. 2. Limits, sums and differentiation after the integral sign. 3. Fubini's Theorem and integration by substitution. 4. Curve integrals and potential. 5. Surface integrals. 6. Gauss-Ostrogradsky's, Green's and Stokes' Theorems. 7. Introduction to the calculus of variation

Learning activities and teaching methods
Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
Learning outcomes


Prerequisites
unspecified
KMA/MA2

Assessment methods and criteria
Oral exam, Written exam

Recommended literature
  • Černý, R., Pokorný, M. (2023). Základy matematické analýzy pro studenty fyziky 3. Praha.
  • Kopáček, J. (2007). Matematická analýza nejen pro fyziky (III). Praha.
  • Kopáček, J. (2015). Matematická analýza nejen pro fyziky (II). Praha.
  • Kopáček, J. (2006). Příklady z matematiky nejen pro fyziky III. Praha.
  • R. Feynman. (2005). The Feynman Lectures on Physics.
  • Stewart, J. (2015). Multivariable Calculus. Brooks Cole.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Mathematics (2020) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Mathematics - Specialization in Business Mathematics (2026) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Mathematics - Specialization in Mathematics for Sustainable Innovation (2026) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Mathematics - Specialization in Data Science (2026) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Mathematics - Specialization in Industrial Mathematics (2026) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter