MODULE - I(18MAT31): Laplace Transforms & Inverse Laplace Transforms

 MODULE - I

LAPLACE TRANSFORMS

(Laplace Transforms - I)

CONTENTS:

Laplace transform-Definition, Laplace transform of elementary functions, Properties-Problems. Laplace transform of periodic function-problems. Laplace transform of Unit Step function/Heavyside function-Problems.

MODULE - V(18MAT31): Calculus of Variations

 MODULE - V

CALCULUS OF VARIATIONS

CONTENTS:

Functional, Variation of a function, Euler's equation-Derivation and alternative forms. Problems on calculus of variations. Applications-Geodesics and Hanging cable problem.

MODULE - V(18MAT31): Runge-Kutta & Milne's Method for Second order ODE

 MODULE - V

Runge-Kutta & Milne's Method for Second order ODE

CONTENTS:

Numerical solution of second order ordinary differential equations by Runge-Kutta fourth order method and Milne's Predictor-Corrector method-Problems.

Module - IV (18MAT31): Numerical Methods

 MODULE - IV

NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS

CONTENTS:

Numerical solution of first order first degree ordinary differential equations by Taylor series method, Modified Euler's method, Runge-Kutta method, Milne's and Adams-Bashforth Predictor-Corrector method-Problems.