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Mathematics LibreTexts

UCD Mat 21D: Vector Analysis

This course is the last of the four-quarter sequence on Differential Calculus at UCD. It focuses on vector analysis which is a branch of mathematics concerned with differentiation and integration of vector fields, in particular in 3 dimensional Euclidean space. The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus. Vector calculus plays an important role in differential geometry and in the study of partial differential equations. It is used extensively in physics and engineering, especially in the description of electromagnetic fields, gravitational fields and fluid flow. The highlights of this course will be Green's theorem, Stoke's theorem, and the Divergence theorem. The modules in this section complement Corral's Vector Calculus TextMap and the Vector Calculus (UCD Mat 21D) Libretext.