The content corresponds to the programs of mathematical training of bachelors and specialists in the areas of Engineering, Technology and Technical Sciences and Social Sciences. Examples of applying mathematics to solving specific technical and economic problems are given. Solutions of typical tasks are disassembled. Conditions of tasks for independent solution and tasks for performance of calculation works are given. Questions for self-testing of material assimilation and typical control works are given. The manual is intended for the preparation of university students of various forms of education, in particular for independent mastery of the material. Methodical development of practical classes will be useful for teachers of mathematics