UNIT 1:
Double integration (Cartesian Coordinates)
Triple Integration(Cartesian Coordinates)
Change of order of integration
Triple Integration(Cartesian Coordinates)
Applications of double integral(Area)
Applications of double integral(Area)
Triple Integration(Cartesian Coordinates)
UNIT 2:
Divergence & Curl of a vector field
Solenoidal and Irrotational of a vector
Derivatives: Gradient of a scalar field, Directional Derivative
Derivatives: Gradient of a scalar field, Directional Derivative
Solenoidal and Irrotational of a vector
Derivatives: Gradient of a scalar field, Directional Derivative
Problems based on Gauss Divergence theorem
Problems based on Stoke’s theorem
Problems based on Green’s theorem
Problems based on Green’s theorem
UNIT 3:
Derivatives of f(z) - Analytic function
Derivatives of f(z) - Analytic function
Construction of Analytic functions
Conformality of w = c+z, w = cz , w = 1/z
UNIT 4:
Cauchy’s integral theorem
Zeros & Singularities of an analytic function
UNIT 5:
Conditions -Transforms of standard functions , Properties
Transforms of derivatives and integrals
Unit step function (Heaviside function)& Dirac’s Delta function
Laplace transform of periodic functions
Inverse Laplace transforms
Applications to solution of linear ordinary differential equations of second order with constant coefficients
