WITH EFFECT FROM THE ACADEMIC YEAR 2011 - 2012

MT 251

MATHEMATICS-IV

(CSE, ECE, EEE, Mech. & Production)

Instruction                                                4              Periods per week

Duration of University Examination    3              Hours

University Examination                         75            Marks

Sessional                                                   25            Marks

UNIT-I

Functions of Complex variables : Limit and Continuity of function-Analytic function-Cauchy-Reimann equations - Cartesion and Polar form and Harmonic functions-complex integration - Cauchy's theorem-Derivative of Analytic functions-Cauchy's integral formula and it's applications.

UNIT-II

Taylor's and Laurent's Series Expansions-Zeroes and Singularities-Residues-Residue theorem-Evaluation of real Integrals using Residue theorem-Conformal Mapping-Bilinear transformation.

UNIT-III

Statistics : Random Variables - distributions - density functions-conditional distributions-Baye's theorem-mathematical expectation-expected values-moments and Moment generating functions - Characteristic function.

UNIT-IV

Distributions : Normal-Gamma - Poisson and Chi-distributions - Tests of

Significance - Chi-Square - F and t-tests.

UNIT-V

Curve fitting by method of least squares : Correlation and Regression - lines of regression fitting of cures by the method of least squares (straight line, parabola, exponential curves).

Suggested Reading:

1. 1.R.K. Jain & S.R.K. Iyengar, Advanced Engineering Mathematics,

Narosa Publications - 2008.

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