Covers the proof of the Green theorem, showing how the integral of a vector field along a domain's boundary equals the integral of the curve within the domain.
Explores curve integrals, demonstrating properties and real-life applications, including tunnel excavation and safety assessment based on crime density.
Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.
Covers the definition and applications of generalized integrals in advanced analysis, including real functions, differential equations, and multiple integrals.