VECTOR CALCULUS, GEOMETRY AND DIFFERENCE EQUATION

Vector triple product. Product of four Vectors. Vector differentiation. Gradient, divergence and curl. Solenoidal and irrotational vector field.

UNIT II

Double integration. Properties of double integration. Iterated integral. Change of order of Integration. Transformation of double integral in polar form.

UNIT III

Spheres, Plane section of a sphere. Intersection of two sphere. Sphere through a given circle cone. Equation of cone with Vertex at origin. Right circular cone. Right circular cylinder. 

UNIT IV

Formation of difference equation. Order of difference equation. Linear difference equation. Homogeneous linear equation with constant coefficient. Non homogeneous linear equation. Particular integrals.