S.V. Podkletnova

This practical class focuses on applying the chain rule to composite functions of several variables, finding derivatives of implicitly defined functions, and computing gradients and directional d…

The lecture focuses on differential calculus for functions of several variables. It begins with the chain rule for differentiating composite functions, covering cases where arguments depend on on…

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 functions of several variables, explaining the roles of independent and dependent variables, domain, and range. It covers methods for visualizing such functions, including…

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 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 is designed to reinforce the theoretical material from the first lecture on series. Students will practice calculating sequence limits and learn to determine the convergenc…

This lecture opens a new section of the mathematical analysis course dedicated to the theory of series. Students will be introduced to the fundamental concepts needed to understand how infinite s…