Course: Mathematical Analysis II

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Course title Mathematical Analysis II
Course code KMA/P401
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 2
Semester Summer
Number of ECTS credits 6
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.
  • Eisenmann Petr, doc. PaedDr. CSc.
Course content
Primitive functions (antiderivatives) and their basic properties Integration by parts and substitutions Integration of rational functions and of functions transformed to them Newton integral and his basic properties Riemann integral and its relation to Newton integral Numerical approach to integrals Application of integrals in geometry (surfaces, volumes, lengths) Application of integrals in physics (centers of mass, work) Ordinary differential equations of 1st order Ordinary differential equations of 2nd order Applications of differential equations

Learning activities and teaching methods
unspecified
Learning outcomes
Students will learn calculus of integration of real-valued functions of one variable and its applications in geometry and physics. They will also learn basic facts about ordinary differential equations.

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.
KMA/P336

Assessment methods and criteria
unspecified
Recommended literature
  • ČERNÝ, I. Matematická analýza 2. část, Liberec, 1995.
  • ČERNÝ, I. Matematická analýza 3. část, Liberec, 1996.
  • JARNÍK, V. Integrální počet I, Praha, ACADEMIA, 1984.
  • VESELÝ, J. Matematická analýza pro učitele I, II, Matfyz press, 1994.


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 (double subject) (A14) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Summer