
Question Bank
Dear Students the Question Bank has been uploaded for the following topics:
Multiple Integrals,
Vector Calculus,
Complex Variables,
Complex Integration,
Laplace transforms 
Youtube Video
Dear Students the Youtube Video has been uploaded for the following topics:
Laplace Transforms
Multiple Integrals
Vector Calculus 
Resource Link
Dear Students the Resource Link has been uploaded for the following topics:
Multiple Integrals
Vector Calculus
Complex Variables
Complex Integration
Laplace Transforms 
Puzzles
Dear Students the Puzzles has been uploaded for the following topics:
Puzzles,
Puzzles 
Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:
Problems based on Cauchy’s integral formula,
Taylor’s series,
Laurent’s series,
Cauchy Residue theorem,
Conditions Transforms of standard functions , Properties,
Transforms of derivatives and integrals,
Inverse Laplace transforms,
Convolution theorem,
Applications to solution of linear ordinary differential equations of second order with constant coefficients,
Laplace transform of periodic functions 
Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:
Derivatives: Gradient of a scalar field. Directional derivative ,
Divergence of a vector field – Curl of a vector field,
Solenoidal and Irrotational of a vector ,
Greens theorem.,
Gauss Divergence Theorem,
Stokes Theorem,
Derivatives of f(z) – Analytic function ,
Harmonic function ,
Construction of Analytic function ,
Conformal Mapping,
Mobius transformations 
Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:
Double integration (Cartesian coordinates) ,
Double integration (Cartesian coordinates) ,
Change of order of integration ,
Applications of double integral (Area) 
Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:
Triple Integration (Cartesian coordinates) ,
Triple Integration (Cartesian coordinates) ,
Applications: Volume as triple integrals and solids of revolution.,
Problems based on Greens theorem.,
Problems based on Gauss Divergence Theorem,
Problems based on Stokes Theorem,
CauchyRiemann Equations ,
Harmonic conjugate,
Conformality of w= z + c, cz , 1/z ,
Application to flow problems,
Problems based on Cauchy’s integral formula,
Zeros & Singularities of an analytic function,
Cauchy Residue theorem,
Unit step function (Heaviside function)& Dirac’s Delta function,
Simultaneous linear equations with constant coefficients,
Partial fraction method