Syllabus
Real numbers, supremum and infimum, minimum and maximum.
Limit of a sequence and its basic properties, arithmetics of limits, limit of a monotone sequence, Weierstrass theorem.
Functions of one real variable: limit of a function, elementary functions and their properties, derivative, properties of continuous functions, Langrange mean value theorem, extrema and their finding, convexity, examination and construction of graphs of functions.
Annotation
Basic definitions and theorems from the theory of real functions of one variable will be presented.