5EE6.4 ADVANCED MATHEMATICS-II
 

1. COMPLEX VARIABLES: Analysis functions, cauchy-riemann equations. Elementary conformal mapping with simple applications. Line-integral in complex domain,cauchy's theorem. Cauchy's integral formula,Tayler's series Laurent's series, Poles residues, evaluation of simple definite real integrals using theorem of residues simple contour integratin.

2. SPECIAL FUNCTIONS: Bessel's functions of first and second kind.simple recurrence relations,orghogonal property of Bessel functions transformation,Generating function. Legendre's function of first kind,simple recurrence relations,Rodrigues formula,orthogonaoal property of Pn (x), Generating function.

3. CALCULUS OF VARIATIONS: Functional strong and weak variation,simple variation problems of Euler's equation.

RECOMMENDED BOOKS:

1. B.S. Grewal-Higher Engineering Mathematics.

2. Ervin Kreyzig-Advanced engineering maths.

3. Chardrika prasad-Advanced Maths for Engineering.

4. Gaur & Kaul-Higher Engineering Mathematics.