Vector Calculus Part 1: Gradient Divergence & Curl of vector

In course , Vector Calculus Part 1 the student will learn about the following topics: Basic concepts of Vectors and detailed definitions Scalar and Vector point functions Constant Vectors and all Based Theorems. The proof of the Theorem that every Differentiable vector function is Continuous. The proof of the result that_The Necessary and sufficient condition for a vector point function to be Constant.

The proof of the result that _If vector function has a Constant magnitude then f and df/dt are perpendicular. The Necessary and sufficient condition for a vector function to have Constant magnitude. The Necessary and sufficient condition for a vector function to have Constant direction.

Directional Derivatives with examples Tangent Plane and Normal, Level Surfaces with definitions and detailed explanation Geometrical interpretation of vectors Geometrical Interpretation of Gradient of scalar point function Gradient, Divergence, and Curl of a vector and Many more Based examples and assignments with Theorems and proofs. Del Operator & Laplacian operator with examples. Solenoidal vector & Irrotational vector Important various Results, Expected Theorems, and Based AssignmentIf you need any help in understanding the topics or If you have any queries, feel free to revert back.

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