|
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.
|