Description about the workshop

This short-term workshop on Vector Calculus offers a rigorous introduction to foundational concepts of vector functions and space curves, derivatives and integrals of vector functions, arc length and curvature, motion in space- velocity and acceleration; Double integrals over rectangles, iterated integrals, double integrals over general regions, change of order of integration; double integrals in polar coordinates, applications, surface area, triple integrals, triple integrals in cylindrical and spherical coordinates, change of variables; Vector fields, line integrals, fundamental theorem for line integrals, gradient, curl and divergence, parametric surfaces and their areas, surface and volume integrals, Green’s theorem, Stoke’s theorem, Divergence theorem.

Participants will engage with curated exercises, historical insights, and intuitive geometric interpretations to build deep conceptual clarity. The program is ideal for those who are in theor first or second year, preparing for competitive exams, research or advanced coursework in pure and applied mathematics. Prior exposure to calculus is recommended; mathematical maturity will be nurtured throughout.