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