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.R.K. Jain & S.R.K. Iyengar, Advanced EngineeringMathematics, Narosa Publications - 2008.
2.B.S. Grewal, Higher Engineering Mathematics Khanna Publications,40th Edition, 2008.
3.N. Bali, M.Goyal, C.Watkins, Advanced Engineering Mathematics 7th Edition, 2009 Laxmi Publications
4.M. Venkata Krishna, Probability and Statistics, B.S. Publications, 2010.
5.H.K. Dass ''Advanced Engineering Mathematics'' S.Chand & Co. Pvt Ltd., 2010.