QUESTION PAPERS:-
SYLLABUS:-
UNIT I
Probability Theory: conditional probability, Baye’s theorem, Random variable: discrete probability distribution, continuous probability distribution, expectation, moments, moment generating function, skewness, kurtosis, binomial distribution, Poisson distribution, normal distribution, Curve Fitting: Principle of least square Method of least square and curve fitting for linear and parabolic curve .
UNIT II
Correlation Coefficient, Rank correlation, line of regressions and properties of regression coefficients, ANOVA, Sampling distribution: Testing of hypothesis, level of significance, sampling distribution of mean and variance, Chi-square distribution, Student’s T- distribution, F- distribution, Fisher’s Z- distribution.
UNIT III
Numerical Methods: Solution of algebraic and transcendental equations using bisection method, Regula-Falsi method and Newton – Raphson method. Solution of linear simultaneous equations using Gauss-Jacobi’s iteration method and Gauss-Seidal’s iteration methods. Finite differences: Forward differences, backward differences and Central differences. Interpolation: Newton’s interpolation for equi-spaced values. Stirling’s central difference interpolation formula, Divided differences and interpolation formula in terms of divided differences, Lagrange’s interpolation formula for unequi-spaced values.
UNIT IV
Numerical Differentiation, maxima and minima of a tabulated function. Numerical Integration: Newton-Cote’s quadrature formula, Trapezoidal rule, Simpson’s one-third rule and Simpson’s three-eighth rule .Numerical solution of ordinary differential equations: Picard’s method, Taylor’s method,Euler’s method, modified Euler’s method, Runge-Kutta method of fourth order.
SYLLABUS:-
UNIT I
Probability Theory: conditional probability, Baye’s theorem, Random variable: discrete probability distribution, continuous probability distribution, expectation, moments, moment generating function, skewness, kurtosis, binomial distribution, Poisson distribution, normal distribution, Curve Fitting: Principle of least square Method of least square and curve fitting for linear and parabolic curve .
UNIT II
Correlation Coefficient, Rank correlation, line of regressions and properties of regression coefficients, ANOVA, Sampling distribution: Testing of hypothesis, level of significance, sampling distribution of mean and variance, Chi-square distribution, Student’s T- distribution, F- distribution, Fisher’s Z- distribution.
UNIT III
Numerical Methods: Solution of algebraic and transcendental equations using bisection method, Regula-Falsi method and Newton – Raphson method. Solution of linear simultaneous equations using Gauss-Jacobi’s iteration method and Gauss-Seidal’s iteration methods. Finite differences: Forward differences, backward differences and Central differences. Interpolation: Newton’s interpolation for equi-spaced values. Stirling’s central difference interpolation formula, Divided differences and interpolation formula in terms of divided differences, Lagrange’s interpolation formula for unequi-spaced values.
UNIT IV
Numerical Differentiation, maxima and minima of a tabulated function. Numerical Integration: Newton-Cote’s quadrature formula, Trapezoidal rule, Simpson’s one-third rule and Simpson’s three-eighth rule .Numerical solution of ordinary differential equations: Picard’s method, Taylor’s method,Euler’s method, modified Euler’s method, Runge-Kutta method of fourth order.
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