The textbook gives a brief description of theoretical material on the studied sections of the course. There are given and analyzed numerous examples illustrating various types of tasks and methods for solving them. At the end of each chapter, there are given tasks for independent solution. All these tasks are provided with answers. The tutorial contains a lot of illustrations.The given textbook is intended to help the students of the training program 02.03.02 «Computer Science Informatics and Information Technologies» in studying the practical part of the course «Continuous Mathematics» in the first semester.