Course: Mathematic Practice I

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Course title Mathematic Practice I
Course code UMKM/AMS1
Organizational form of instruction Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 2
Language of instruction English
Status of course Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Koudela Libor, Mgr. Ph.D.
Course content
Mathematical logic - statements, logical connectives, quantifiers. Set theory - operations with sets, sets of numbers, relations and mappings. Sequences of real numbers and their limits. Functions of a real variable - properties, elementary functions, limits and continuity. Differential calculus of functions of a single variable - derivative, differential, theorems on derivatives. Investigation of a function - local extrema, intervals of monotonicity, inflections, concavity, asymptotes. Antiderivatives - elementary methods of calculation. The Riemann and Newton integral, improper integrals, applications. Infinite series - sum, convergence tests, absolute convergence. Function series, power series, radius and domain of convergence, Taylor series.

Learning activities and teaching methods
Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
Learning outcomes
The course is designed to help students in understanding basic mathematical concepts and to develop their ability to solve independently all problems concerning the topics covered by the course Mathematics I.
Students will be able to solve independently all problems concerning the topics covered by the course Mathematics I.
Prerequisites
Secondary school mathematics.

Assessment methods and criteria
Written examination

Assignment - active attendance and succesfully answered written test.
Recommended literature
  • JORDAN, D. W. - SMITH, P. Mathematical Techniques.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Economics and Administration Regional and Information Management (2013) Economy 1 Winter