Course: Mathematical Analysis 3

« Back
Course title Mathematical Analysis 3
Course code KMA/MAF3
Organizational form of instruction Lecture + Lesson
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)
  • Burkotová Jana, Mgr. Ph.D.
  • Jančí Tatjana, PhDr.
  • Pastor Karel, doc. Mgr. Ph.D.
  • Tomeček Jan, doc. RNDr. Ph.D.
  • Fürst Tomáš, RNDr. Ph.D.
  • Ligurský Tomáš, 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.

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration
  • Attendace - 78 hours per semester
  • Homework for Teaching - 30 hours per semester
  • Preparation for the Course Credit - 40 hours per semester
  • Preparation for the Exam - 60 hours per semester
Learning outcomes
Understand integral calculus of functions of several variables
Comprehension Understand integral calculus of functions of several variables.
Prerequisites
Differential calculus of functions of several variables, integration on the real axis.
KMA/MAF2

Assessment methods and criteria
Oral exam, Written exam

Credit: the student has to pass two written tests (i.e. to obtain at least half of the possible points in each test).
Recommended literature
  • J. Kopáček. (2001). Matematická analýza pro fyziky III. Matfyzpress.
  • J. Kopáček. (2001). Příklady z matematiky pro fyziky III. Matfyzpress.
  • R. Feynman. (2005). The Feynman Lectures on Physics. Addison Wesley.
  • Rudin, W. (1964). Principles of Mathematical Analysis. McGraw-Hill.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science Computer Physics (1) Physics courses 2 Winter
Faculty of Science Biophysics (2015) Physics courses 2 Winter
Faculty of Science Optics and Optoelectronics (1) Physics courses 2 Winter
Faculty of Science Applied Physics (1) Physics courses 2 Winter
Faculty of Science Molecular Biophysics (2015) Physics courses 2 Winter
Faculty of Science General Physics and Mathematical Physics (1) Physics courses 2 Winter
Faculty of Science Nanotechnology (1) Special and interdisciplinary fields 2 Winter