QUESTION PAPERS:-
SYLLABUS:-
UNIT-I
COMBINATORICS
ermutation and Combination, Repetition and Constrained Repetition, Binomial Coefficients, Binomial Theorem. PROBABILITY: Definition of Probability, Conditional Probability, Baye’s Theorem.
UNIT–II
PROBABILITY DISTRIBUTIONS:Review of Mean & Standard Deviation, Mathematical Expectation, Moments, Moment Generating Functions, Binomial, Poisson and Normal Distributions.
UNIT-III
INTERPOLATION: Operators: Shift, Forward Difference, Backward Difference Operators and their Inter-relation, Interpolation Formulae-Newton’s Forward, Backward and Divided Difference Formulae: Lagrange’s Formula. SOLUTION OF NON LINEAR EQUATION:Bisection Method, False Position Method, Newton –Raphson Method for Solving Equation Involving One Variable only.
UNIT–IV
SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS: Gaussian Elimination Method with and without Row Interchange: LU Decomposition: Gauss -Jacobi and Gauss-Seidel Method; Gauss–Jordan Method and to find Inverse of a Matrix by this Method. NUMERICAL DIFFERENTIATION-First and Second Order Derivatives at Tabular and Non-Tabular Points, Numerical Integration, Trapezoidal Rule, Simpsons 1/3 Rule: Error in Each Formula (without proof).
SYLLABUS:-
UNIT-I
COMBINATORICS
ermutation and Combination, Repetition and Constrained Repetition, Binomial Coefficients, Binomial Theorem. PROBABILITY: Definition of Probability, Conditional Probability, Baye’s Theorem. UNIT–II
PROBABILITY DISTRIBUTIONS:Review of Mean & Standard Deviation, Mathematical Expectation, Moments, Moment Generating Functions, Binomial, Poisson and Normal Distributions.
UNIT-III
INTERPOLATION: Operators: Shift, Forward Difference, Backward Difference Operators and their Inter-relation, Interpolation Formulae-Newton’s Forward, Backward and Divided Difference Formulae: Lagrange’s Formula. SOLUTION OF NON LINEAR EQUATION:Bisection Method, False Position Method, Newton –Raphson Method for Solving Equation Involving One Variable only.
UNIT–IV
SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS: Gaussian Elimination Method with and without Row Interchange: LU Decomposition: Gauss -Jacobi and Gauss-Seidel Method; Gauss–Jordan Method and to find Inverse of a Matrix by this Method. NUMERICAL DIFFERENTIATION-First and Second Order Derivatives at Tabular and Non-Tabular Points, Numerical Integration, Trapezoidal Rule, Simpsons 1/3 Rule: Error in Each Formula (without proof).
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