The textbook is addressed to students majoring in technical degrees at universities and meets the state compulsory educational standards for the course of Calculus I. Theoretical material is presented in sufficient detail. Moreover, the material on analytical geometry, mathematical analysis, and algebra is in accordance with the state compulsory educational standards of the Republic of Kazakhstan. Examples of solving routine problems are provided. At the end of each chapter, there are several exercises carefully designed to promote active learning through self-guided work and practice. The work is supported by the State Program for Development of Education and Science of the Republic of Kazakhstan for 2016–2019.