Автор: S.V. Podkletnova

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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 convergence of series through concrete examples. The main...

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 sums can lead to finite results. The first part...

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 vector surface integrals (flux) for fields like...

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 motivations include finding the mass of a wire...

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, logarithms, and fractions by identifying constraints...