Expansions of Cosnθ , Sinnθ, Cosn θ, Sinn θ - 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 (Chapter III: Section 1-11)

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).