Автор: S.V. Podkletnova

This lecture introduces functions of several variables, explaining the roles of independent and dependent variables, domain, and range. It covers methods for visualizing such functions, including graphs in three-dimensional space and level lines...

This lecture explores differentiability for functions of several variables. It begins by defining first-order partial derivatives, explaining that to compute them, all other variables are treated as constants. The geometric meaning is...

This practical class consolidates key concepts from the first two lectures. Students practice finding domains of definition by solving inequalities involving square roots, logarithms, and inverse trigonometric functions, then sketch the...

This practical session focuses on applying line integral concepts through handsoll problem-solving. Students work through six problems covering scalar line integrals, work calculations, Green's Theorem applications, area computation using line...

This practical session focuses on applying surface integral concepts through hands-on problem-solving. Students work through seven problems covering scalar surface integrals, surface area calculation, flux integrals, Stokes' Theorem, and the...