Mathematical analysis in examples and tasks. Part 1

The purpose of the training manual is to help bachelors master the basic concepts and research methods used in mathematical analysis. Part 1 proposed a cycle of practical classes in sections: the theory of the sets, the theory of limits, the theory of continuity of functions, the differential calculation of the functions of one variable, its application to the study of the properties of the function and the construction of the graph, the integral calculation of the functions of one variable: uncertain, certain, non -universal integrals, hyperbolic functions, applications of integral calculus to analysis and solving practical problems.
For the development of each topic, the necessary theoretical and reference material has been proposed, a large number of examples with detailed analysis and solutions have been considered, and options for independent work are given. For independent preparation and quality control of the knowledge gained, exercises and tasks with answers and instructions are given.
For teachers, students and graduate students of universities studying higher mathematics