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).
Reference Book:
No Reference Book
Text Book:
1. Trigonometry by S. Narayanan and T.K. Manicavachakam Pillai, S.Viswanathan (Printers and publishers) PVT Ltd.2007, For Units I And II. 2. Vector calculus by A.R.Vasistha and KiranVasistha,KRISHNAPrakashan Media (P) Ltd.Meerut for Units III And IV. 3.CALCULUS –VOL III BY S.Narayanan &T.K.Manicavachagom Pillay for Unit V.