Книги автора S.V. Podkletnova

This lecture introduces line integrals, extending integration from intervals to curves. Two types are covered: scalar line integrals with re…

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

This practical session is designed to reinforce the theoretical material from the first lecture on series. Students will practice calculatin…

This lecture opens a new section of the mathematical analysis course dedicated to the theory of series. Students will be introduced to the f…

This practical session focuses on applying line integral concepts through handsoll problem-solving. Students work through six problems cove…

This practical session focuses on applying surface integral concepts through hands-on problem-solving. Students work through seven problems…

This practical class focuses on applying the chain rule to composite functions of several variables, finding derivatives of implicitly defin…

The lecture focuses on differential calculus for functions of several variables. It begins with the chain rule for differentiating composite…

This practical class develops skills in differentiating functions of several variables. Students learn to compute first-order partial deriva…

This lecture introduces functions of several variables, explaining the roles of independent and dependent variables, domain, and range. It c…

This lecture explores differentiability for functions of several variables. It begins by defining first-order partial derivatives, explainin…

This practical class reinforces theoretical concepts through hands-on problem-solving. The session focuses on three key skills: finding doma…

This practical class consolidates key concepts from the first two lectures. Students practice finding domains of definition by solving inequ…