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Lecturer(s)
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Fürst Tomáš, RNDr. Ph.D.
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Tomeček Jan, doc. RNDr. Ph.D.
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Ludvík Pavel, RNDr. Ph.D.
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Radová Jana, Mgr.
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Course content
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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
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
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Learning outcomes
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Understand integral calculus of functions of several variables
Comprehension Understand integral calculus of functions of several variables.
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Prerequisites
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Differential calculus of functions of several variables, integration on the real axis.
KMA/MA2
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Assessment methods and criteria
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Oral exam, Written exam
Credit: active participation, the student has to pass two written tests (i.e. to obtain at least half of the possible points in each test). Exam: Understand the subject and be able to prove the most important results
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Recommended literature
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Kopáček, J. (2007). Matematická analýza nejen pro fyziky (III). Matfyzpress, Praha.
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Kopáček, J. (2015). Matematická analýza nejen pro fyziky (II). Matfyzpress, Praha.
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Kopáček, J. (2006). Příklady z matematiky nejen pro fyziky III. Matfyzpress, Praha.
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R. Feynman. (2005). The Feynman Lectures on Physics. Addison Wesley.
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Stewart, J. (2015). Multivariable Calculus. Brooks Cole.
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