Expansions of Cosnθ , Sinnθ, Cosnθ, Sinnθ - Hyperbolic Functions – Separations of real and Imaginary parts of Sin(α+iβ),Cos(α+iβ) ,Tan (α+iβ ), Sinh(α+iβ), Cosh(α+iβ ),Tanh(α+iβ ), Tan-1(α+iβ ).

Logarithm of a complex Quantities – Summation of Trigonometric series: Method of differences – Sum of sine series of n angles in A.P -Sum of cosine series of n angles in A.P

Scalar and vector point function –Differentiation of Vectors – Directional Derivative-Gradient

Divergence and Curl of a vector point function-Integration of vectors – line surface,surface integrals and volume Integrals

Greens theorem –stokes theorem-gauss divergence theorem(problems only).