Knowledge in Vector calculus
Scalar and vector field
Definition of scalar field and examples; definition of vector field and examples and some questions to practice and then there is the formula for diff. of operators
Ishant Goel
Differential operator
Symbol of differential operator is also called nabla.... there is a concept of gradient and questions of finding the gradient of given function and proofs of relation between them
Divergence of a vector
Divergence is particularly defined as product of the operator and the vector itself... but in divergence, it is not commutative.... Moreover, there is a formula defined for the divergence of a vector
Curl of a vector
The curl of a vector is actually the cross product between the operator and the function.... That is the determinant value.... There we have various questions including both dot as well as cross product
Vector Differentiation assignment and solutions
It consists of the Vector differentiation assignment along with detailed solution and is the most detailed description you can come across. Its a detailed description of all of the above and will help second year electronics and telecommunication engineering students in their curriculum. I hope everyone is comfortable with the notes and can ask or share their thoughts if they have doubts related to anything. These notes are made by me and one of the faculties of our prestigious college and will help score high in your exams.
VEDANT MILIND ATHAVALE
VECTOR CALCULUS
Vector calculus, or vector analysis, is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space ℝ³. The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus, which includes vector calculus as well as partial differentiation and multiple integration. Vector calculus plays an important role in differential geometry and in the study of partial differential equations.
SUMMATION DELTA
In the Calculus of Limits, the Poisson Summation Formula holds under unnecessary conditions. Using Delta function, and Periodic Delta Functions, we present here an Infinitesimal Calculus proof, that is free of unnecessary conditions. Then, we apply the formula to a particular series.
Subham Bera