Gauhati University Question Papers for Statistics 2nd Semester
Gauhati University Question Papers for Statistics 2nd Semester
Question Paper from 2010 available
More than 50 question papers every semester
Please check your syllabus before downloading the question paper.
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Paper 101
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Paper 102
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2011
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More than 50 question papers every semester
SEMESTER – II
Paper M201 : Numerical and Computational Techniques –I
Unit 1:
∆ & E operators, Fundamental theorem, zero differences, Interpolation formulae; Newton’s forward, backward with remainder terms, Divided differences: Properties, Newton’s Divided difference formula, Lagrange’s formulae
Unit 2:
Difference: Idea, Operator’s, Gauss’s forward, backward, Bessel, Everret and Stirling formula
Inverse Interpolation, Numerical Differentiation.
Numerical Integration: Trapezoidal Rule, Simpson’s 1/3 rd and 3/8 th rule, Weddle’s rule, Euler-Maclaurin’s formula [Proof of all the formulae will be required].
Unit 3:
properties of linear difference equation, linear difference equation with constant co- efficient, roots of polynomial equations, and solution of simple problems by Newton- Raphson method, Bisection method, and Graphical method, Regula Falsi Method, Method of Iteration.
Paper M202 Mathematical Method –I
(Recap: Limit, continuity and differentiability of functions of one variable, sequences and series of real numbers; Convergence, Cauchy criterion and tests for convergence. No questions to be set from recoys)
Roll’s theorm Mean value theorems, Taylor’s expansion, maxima and minima, Point wise and uniform convergence, necessary and sufficient conditions for uniform convergence, Functions of several variables- limit, continuity and differentiability, Taylor’s expansion for two variables; Partial derivatives-basic idea and simple examples; Applications of Lagrange’s multipliers, Riemann Internal.
Infinite and Improper integrals; Gamma and Beta integrals and their properties, Jacobian
transformation.
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