This course on Vector Calculus aims to teach the concepts of vector point functions, vector differentiation, gradient of a scalar field, directional derivative, divergence, curl of a vector field, line integrals, applications of line integrals, Green's theorem, Stokes theorem, and Gauss divergence theorem. Students will learn skills such as calculating gradients, divergences, curls, and performing line integrals. The teaching method includes theoretical explanations, examples, and solutions. This course is intended for students and professionals interested in advanced mathematics, particularly in the field of vector calculus.
Overview
Syllabus
Concept of Vector Point Function & Vector Differentiation By GP Sir.
Gradient of a Scalar Field & Directional Derivative | Normal Vector.
Divergence and Curl of vector field | Irrotational & Solenoidal vector.
Vector Calculus - Line Integrals of Vector Field | Example & Solution.
Vector Calculus- Application of Line Integral |Scalar Potential | Work Done By Force |.
Vector Calculus - Green's Theorem | Example and Solution by GP Sir.
Vector Calculus - Stoke's Theorem | Example and Solution by GP Sir.
Vector Calculus - Gauss Divergence Theorem | Example and Solution.
Vector Calculus | Vector Differentiation With Short Tricks For GATE, IIT-JAM, PGT , GIC.
Vector Calculus | Vector Integration With Short Tricks For GATE, IIT-JAM, PGT, GIC.
Taught by
Gajendra Purohit
