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