Elements of set theory.
Common number sets and their properties. Completness of Real number. Elements of complex numbers.
Mathematical induction.
Cartesian coordinate system, lines in the plane and distances.
The circle in the plane.
Functions. Elementary functions and their graphs.
Limit of a function. Main theorems on limits.
Function composition and inverse functions.
Continuous and discontinuous functions. Main theorems on continuous functions.
Derivative of a function and tangent line.
Basic derivative rules. Maxima and minima of a function.
Main theorems on derivatives.
Graph of a function.
Higher derivatives.