Cерия Higher Mathematics – IV semester

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 thorough…

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 focus i…

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 fluid …

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 integ…

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 Diverge…

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 with va…