Dr. Slagana Brsakoska, Professor
MSc Stevo Gjorgjiev, Assistant
Course content:
Real numbers.
Sets of real numbers and their basic characteristics. Complex numbers.
Vector spaces.
Polynomials (real and complex).
Eigenvalues and eigenvectors.
Scalar products.
Arrays: Array boundary; Cauchy criterion; Weierstrass theorem; Countability and Continuum.
Functions: Limit of a function; Continuity; Inverse function; Decomposing rational fractions; Elementary functions; Basic limits.
Differential calculus for functions of one independent variable: Derivative and differential of first and higher order; Derivative of complex and inverse function; Lopital's Rule; Extremes; Examining and drawing functions; Taylor's formula; Application.
Multidimensional space. Vector space. Euclidean space. Standard space; Derivative of a vector function; Elements of differential geometry in plane and space.