(Igor Sikorsky Kyiv Polytechnic Institute, 2021) Zhuravska, Ganna V.
This textbook is designed for students of the first year of technical university. It covers three content areas to be studied in the second semester: Differential and Integral Calculus of the Multivariable Function and Vector Calculus.
The manual can be helpful for students who want to study the concepts of differential calculus of multivariable functions; multiple, curvilinear and surface integrals; vector calculus. There are a lot of applications of these ideas for solving some tasks from geometry and physics. The textbook contains theoretical material, which presents the basic formulas, definitions and theorems, illustrated by examples and figures, shows the basic methods of solving typical problems.
The proposed manual will help students of engineering specialties studying Higher Mathematics.