Syllabus
Functions of one variable
· important types of functions and their characteristics
· main rules for graphs drawing and graphical representation of functions
· graphical solution of equations
· function identification using transformation of coordinates
Derivatives
· properties, physical and geometrical meaning of derivatives
· extrema and behaviour of functions
· Taylor series and error estimates
Integrals
· indefinite integrals
· definite integrals
· basic properties of differential equations
Functions of multiple variables
· definition and geometrical meaning of partial derivatives
· extrema of functions of two variables
Matrices
· basic matrix operations solution of systems of linear equations using the inverse matrix
Annotation
To enrich and deepen the knowledge of the essentials of calculus and ensemble it with some concepts of discrete and numerical mathematics is the main goal of the subject. The teaching is focused on the understanding of mathematical concepts with regard to their application, not on formalism and proofs of theorems.