International Cooperation and Mobility
Study level: BSc
Course code: 19121
Available in 2022/23: Yes
Objective of the course:
After the completion of the course the students will be able to:
Directed line segment. Vectors. Cartesian coordinate system. Scalar product and Vector product. Mixed product. Composition of functions. Inverse function. Monotone functions and local extremes. Convexity, concavity and points of inflection. Exponential function. Trigonometric functions. Cyclometric functions. Arrays. Limes series. Limes and continuity of function. Basic rules of derivation. Derivation of the composition of functions. Derivation of the inverse function. Higher order derivatives. Derivation of an implicitly given function. Basic theorems of differential calculus. Application of derivations to the search for insreasing and decreasing intervals and local extremes of function. Application of derivations to the search for convexity and concavity intervals and inflection points of functions. L’Hospital’s rule. Asymptotes. Function flow testing. Integrals. Definition of a definite integral. Antiderivation of function, indefinite integral. Leibniz-Newton’s formula. Direct integration. Substitution method. Partial integration method. Integrating rational functions. Integrating trigonometric functions. Integrating some
irrational functions. Application of definite integrals. Calculating the areas of plane figures. Calculation of the volume of rotating solids.