Syllabus
1. Introduction: sets, logic, sets of numbers, supremum and infimum, minimum and maximum. 2.
Sequences: limit of a sequence - finite and infinite, theorem on limit of a monotone sequence. 3. Functions of one variable: limit of function, elementary functions and their properties, derivative, properties of continuous functions, Langrange theorem, finding of extrema, convex and concave functions, investigation of function and construction of its graph.
Annotation
A basic course of mathematics for students of FSV UK - the first semester. Students become familiar with mathematical analysis of functions of one variable.
The presented methods are convenient for solving problems in economy.
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