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Gauss Divergence theorem
Gauss Divergence theorem is one of the three important theorems in this topic which states that If V is the volume bounded by a closed curvr then we have the formula for the theorem
Ishant Goel
Volume integral
Volume integral is also known as space Integral.... Here for the volume or space integral, we also have to consider thrice integral....we will proceed afterwards by Integrating it three times
Surface Integral
Surface Integral is also an important topic of vector integration.... It's examples and questions are of utmost importance with respect to examination purpose i.e. integral over the surface
Green's theorem
Green's theorem is an important theorem of ventor integration....it applies in closed region and M and N are continuous functions then we have the formula for the theorem
Double Integral
Double Integral in a vector function is like two times integral..... First for the inner function abd then we integrate it further for the second time with the function that we got as a result of first function
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
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
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
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
Relativity
Relativity theory is one of the most important theory in this context.... Relativity explanation with diagrams and proper functioning... The result of Michelson-morley experiment.... Some postulates of relativity theory and derivation of laurenz transformation
Escape velocity
Is is the self energy or the gravitational potential energy.... Consider a solid core then find it's potential energy, mass of core and mass of shell and then find potential energy under a central force
Central force motion
This lecture includes radial equation of force and reduced mass and then the most important Kepler's second law and Kepler's third law