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.
