18MAT21 MODULE 4 ADVANCED CALCULUS AND NUMERICAL METHODS
Dr Ksc Maths Notes 2nd Sem Enginnering Mathematics PDF notes
2nd Sem Maths Notes
Module 4 ADVANCED CALCULUS AND NUMERICAL METHODS Textbook Notes
Infinite Series:-Series of positive terms-convergence and divergence. Cauchy's root test and D'Alembert's ratio test(without proof)-illustrative examples.Power Series solutions:-Series solution of Bessel's differential equation leading to Jn(x)-Bessel's function of first kind-orthogonality. Series solution of Legendre's differential equation leading to .Pn(x)-Legendre polynomials. Rodrigue's fonnula (without proof), problems.