Dear Students the Lecture Notes has been uploaded for the following topics:Double Integration in Cartesian coordinates, Change of order of integration, Problems on Change of order of integration, Area enclosed by plane of curves, Problems on Area enclosed by plane of curves, Triple integrals, Problems on Triple integrals, Volume of solids, Problems on Volume of solids, Introduction of vector operations, Gradient , Directional derivatives, Divergence of a Vector field, Curl of a vector field, Solenoidal , irrotational of a vector, Greens theorem and Applications, Problems in Greens theorem, Gauss divergence theorem and Applications, Problems in Gauss divergence theorem., Stokes theorem and Applications, Problems in Stokes theorem, Introduction to complex variables, Derivative of f(z) and analytic functions and CR equations, Harmonic function and Harmonic conjugate, Construction of Analytic functions, Problems based on construction of analytic functions, Problems based on conformal mapping w = z+c ,cz, Problems based on conformal mapping w=1/z, Mobius transformation, Problems based on Mobius transformation, Application to flow problems, Introduction to complex integration ,Cauchy’s integral theorem, Cauchy’s integral formula, Taylors series, Laurent’s Series, Problems based on Laurent’s series, Singular points, Residues, Cauchy Residue theorem, Problems on Cauchy Residue theorem, Introduction to Laplace transforms and transforms of elementary functions, Properties of Laplace transform, Derivatives of Transforms, Integrals of Transforms, Transform of unit step function and impulse function, Transform of Periodic functions, Inverse Laplace transforms, Problems in convolution theorem, Partial fraction method, Solution of linear ODE of 2nd order by using Laplace Transform
Dear Students the Youtube Video has been uploaded for the following topics:COMPLEX INTEGRATION
Assignment topic is COMPLEX INTEGRATION AND LAPLACE TRANSFORMATIONS and due date is 24-07-2023.
Dear Students the Resource Link has been uploaded for the following topics:MULTIPLE INTEGRALSLAPLACE TRANSFORMCOMPLEX VARIABLES
Dear Students the Puzzles has been uploaded for the following topics:PUZZLES, PUZZLES
