UNIT 1:
Double integration (Cartesian Coordinates)
Change of order of integration
Applications: Volume as triple integrals and solids of revolution.
Double integration (Cartesian Coordinates)
Change of order of integration
Triple Integration(Cartesian Coordinates
Applications of double integral(Area)
Applications: Volume as triple integrals and solids of revolution.
Triple Integration(Cartesian Coordinates
UNIT 2:
Derivatives: Gradient of a scalar field, Directional Derivative
Divergence & Curl of a vector field
Solenoidal and Irrotational of a vector
Problems based on Stoke’s theorem
Problems based on Gauss Divergence theorem
Problems based on Green’s theorem
Problems based on Green’s theorem
Problems based on Gauss Divergence theorem
Problems based on Gauss Divergence theorem
UNIT 3:
Derivatives of f(z) - Analytic function
Construction of Analytic functions
Construction of Analytic functions
Derivatives of f(z) - Analytic function
UNIT 4:
Cauchy’s integral theorem
Cauchy’s integral theorem
Cauchy’s integral theorem
UNIT 5:
Conditions -Transforms of standard functions , Properties
Transforms of derivatives and integrals
Laplace transform of periodic functions
Inverse Laplace transforms
Applications to solution of linear ordinary differential equations of second order with constant coefficients
Simultaneous linear equations with constant coefficients
Inverse Laplace transforms
Transforms of derivatives and integrals