Course: Mathematical Analysis III

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Course title Mathematical Analysis III
Course code KMA/M102
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study 1
Semester Winter
Number of ECTS credits 4
Language of instruction Czech, English
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Lacková Veronika, RNDr. Ph.D.
Course content
Continuity and limits of functions of more variables Deeper properties of partial derivatives, gradient Implicit functions and their derivatives Extrema of functions of more variables Extrema of functions of more variables (constrained) Integration of functions of more variables Riemann approach, relations to measures, other integrals Regular mapping, substitution in integrals of functions of more variables Application of integration of functions of more variables in geometry and in physics Function series, uniform convergence Derivative and integration of function series Power series

Learning activities and teaching methods
unspecified
Learning outcomes
Theory of differential and integral analysis of functions of more variables, their usage in geometry and physics. Function series, their convergence, derivatives and integration, power series.

Prerequisites
Teaching in English is meant only for erasmus and foreign students. In the case of a small number of students is teaching in a form of individual consultations.

Assessment methods and criteria
unspecified
Recommended literature
  • J. Kopáček. Matematika pro fyziky II, Praha, Matfyzpress, 1998.
  • JARNÍK, V. Diferenciální počet II, Pha, Academia, 1984.
  • JARNÍK, V. Integrální počet II, Pha, Academia, 1984.
  • KOPÁČEK, J. Matematika pro fyziky III. Matfyzpress, Praha.
  • KOPÁČEK, J. Matematika pro fyziky IV. Matfyzpress, Praha.


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): Teaching of mathematics for Secondary schools (A14) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter