UNIT 1:
Derivatives: Gradient and Directional Derivative
Divergence & Curl of a vector field
Solenoidal and Irrotational of a vector
Problems based on Green’s theorem
Stoke’s theorem with problems
Application in evaluating line, surface and volume integrals.
Problems based on Gauss Divergence theorem
UNIT 2:
Higher order linear differential equations with constant coefficients
Problems based on higher order linear differential equations with constant coefficients
Problems based on higher order linear differential equations with constant coefficients
Method of variation of parameters
Method of variation of parameters
Homogeneous equation of Euler’s type
Homogeneous equation of Legendre’s type
Solution of system of simultaneous linear first order differential equations with constant coefficients
Solution of system of simultaneous linear first order differential equations with constant coefficients
UNIT 3:
Derivatives of f(z) - Analytic function
Construction of Analytic functions
Mapping by functions w = c+z, w = cz , w = 1/z
Application to flow problems
