The manual is intended for 1st and 2nd year students of YSU Faculty of Physics. In the first chapter of the manual, boundary problems of physics have been considered, the solutions of which lead to the calculation of definite, curvilinear, double, triple, surface integrals, as well as the limits of integral sums.

In the second chapter, such boundary problems of physics have been included, which are brought to the application of ordinary differential equations of the first and second order.

Solved problems and tasks on the topics discussed in the educational manual will increase the level of students’ knowledge.