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…

This practical class reinforces theoretical concepts through hands-on problem-solving. The session focuses on three key skills: finding domains of definition for functions with square roots, loga…

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…

This practical class develops skills in differentiating functions of several variables. Students learn to compute first-order partial derivatives by treating all variables except one as constants…

This lecture introduces line integrals, extending integration from intervals to curves. Two types are covered: scalar line integrals with respect to arc length and vector line integrals. Physical…

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 …

This lecture introduces surface integrals, extending integration from curves to two-dimensional surfaces. Two main types are covered: scalar surface integrals for functions like mass density, and…

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 calcul…