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Posted by Er. AMIT DWIVEDI , , , , ,
R.G.P.V. BHOPAL 
MECHANICAL ENGG 4TH SEM 
B.E. 401-ENGINEERING MATHEMATICS III
UNIT-I
Functions of complex variables:Analytic functions,Harmonic Conjugate, Cauchy-Riemann
Equations, Line Integral, Cauchy’s Theorem, Cauchy’s Integral Formula, Singular Points, Poles
& Residues, Residue Theorem , Application of Residues theorem for evaluation of real integrals

UNIT-II 
Errors & Approximations: Solution of Algebraic & Trancedental Equations (Regula Falsi,Newton-Raphson, Iterative, Secant Method), Solution of simultaneous linear equatins by Gauss Elimination, Gauss Jordan, Crout’s methods , Jacobi’s and Gauss-Siedel Iterative methods.
 
UNIT-III
Difference Operators:Interpolation(Newton Forward & Backward Formulae, Central Interpolation Formulae, Lagrange’s & divided difference formulae) ,Numerical Differentiation & Numerical Integration.

UNIT-IV 
Solution of Ordinary Differential Equations:(Taylor’s Series, Picard’s Method, Modified Euler’s Method, Runge-Kutta Method, Milne’s Predictor & Corrector method ), Correlation and Regression, Curve Fitting (Method of Least Square).

UNIT-V
Concept of Probability:Probability Mass function,Probability density function.Discrete Distribution :Binomial,Poisson’s,Continuous Distribution:Normal Distribution, Exponential Distribution,Gamma Distribution,Beta Distribution,Testing of Hypothesis,Students t-test,Fisher’s z-test, Chi-Square Method

REFERENCE BOOKS:- 
  • Numerical Methods using Matlab by J.H.Mathews and K.D.Fink, P.H.I. 
  • Numerical Methods for Scientific and Engg.Computation by MKJain,Iyengar and RK Jain, New Age International Publication 
  • Mathematical Methods by KV Suryanarayan Rao, SCITECH Publuication 
  • Numerical Methods using Matlab by Yang,Wiley India 
  • Pobability and Statistics by Ravichandran ,Wiley India 
  • Mathematical Statistics by George R., Springer
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