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SYLLABUS

UNIT-1

Solution of Algebraic and Transcendental Equations Introduction – Bisection Method – Iterative Method – Regula Falsi Method – Newton Raphson Method System of Algebraic Equations : Gauss Jordan Method – Gauss Siedal Method.

UNIT-2

Interpolation Finite Differences - Newton’s Forward and Backward Interpolation Formulae – Lagrange’s Formulae – Gauss Forward and Backward Formula – Stirling’s Formula – Bessel’s Formula

UNIT-3

Numerical Integration & Solution of Initial Value Problems to Ordinary Differential Equations Numerical Integration : Trapezoidal Rule – Simpson’s 1/3 Rule – Simpson’s 3/8 Rule Numerical Solution of Ordinary Differential Equations: Solution by Taylor’s Series – Picard’s Method of Successive Approximations – Modified Euler’s Method – Runge-Kutta Methods

UNIT-4

Probability Theory Probability – Probability Axioms – Addition Law and Multiplicative Law of Probability – Conditional Probability – Baye’s Theorem – Random Variables (Discrete and Continuous) – Probability Density Functions – Properties – Mathematical Expectation.

UNIT-5

Random Variables & Distributions Probability Distribution – Binomial, Poisson Approximation to the Binomial Distribution and Normal Distribution – Their Properties – Uniform Distribution – Exponential Distribution.