Lecturer(s)


Burkotová Jana, Mgr. Ph.D.

Pavlačková Martina, RNDr. Ph.D.

Pastor Karel, doc. Mgr. Ph.D.

Kouřilová Pavla, Mgr. Ph.D.

Course content

Line integrals of first and second kind. Multiple integrals. Surface integrals of first order and second order. Green's theorem, Stokes' formula, the GaussOstrogradskii formula. Applications of integral calculus in mechanics. Riemann's and Lebesgue's approach to integration  comparison. Integrals depending on a parametr: continuity, differentiability, integration. The Beta function, the Gamma function. Elements of vector analysis. Exact differential equations.

Learning activities and teaching methods

Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
 Attendace
 78 hours per semester
 Preparation for the Course Credit
 25 hours per semester
 Preparation for the Exam
 75 hours per semester

Learning outcomes

Understand integral calculus of functions of several variables.
Comprehension Understand integral calculus of several variables.

Prerequisites

Knowledge of the notions of derivative of function of several variables and integral of one variable.
KMA/MA3M

Assessment methods and criteria

Oral exam, Written exam
Credit: active participation, homework solving, to obtain at least 60 percent of the possible points in a written test. Exam: the student has to understand the subject and be able to prove the principal results.

Recommended literature


Brabec J., Hrůza B. (1989). Matematická analýza II. SNTL, Praha.

Jarník V. (1976). Integrální počet II. Academia, Praha.

Kopáček J. (2002). Matematická analýza pro fyziky III. Matfyzpress, Praha.

V.A. Zorich. (2004). Mathematical Analysis II. Springer, Berlin.
