Subject Syllabus
BT-301 - Mathematics-III
ME · Semester 3
Course Modules
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Solution of polynomial and transcendental equations - Bisection methodNewton-Raphson method and Regula-Falsi method.Finite differencesRelation between operatorsInterpolation using Newton's forward and backward difference formulae.Interpolation with unequal intervals: Newton's divided difference and Lagrange's formulae.
Ordinary differential equations: Taylor's seriesEuler and modified Euler's methods.RungeKutta method of fourth order for solving first and second order equations.Milne's and Adam's predicator-corrector methods.Partial differential equations: Finite difference solution two dimensional Laplace equation and Poission equationImplicit and explicit methods for one dimensional heat equation (Bender-Schmidt and Crank- Nicholson methods)Finite difference explicit method for wave equation.
Probability Mass functionProbability Density FunctionDiscrete Distribution: BinomialPoisson'sContinuous Distribution: Normal DistributionExponential Distribution.Textbooks/References: 1.KandasamyThilagavathyGunavathiNumerical MethodsChand & Company, 2nd EditionReprint 2012. 2.S.S.SastryIntroductory methods of numerical analysisPHI, 4th Edition, 2005. 3.Erwin kreyszigAdvanced Engineering Mathematics, 9th EditionJohn Wiley & Sons, 2006. 4.B.S.GrewalHigher Engineering MathematicsKhanna Publishers, 35th Edition, 2010. 5.N.P.Bali and Manish GoyalA text book of Engineering MathematicsLaxmi PublicationsReprint, 2010. 6.Veerarajan T., Engineering MathematicsTata McGraw-HillNew Delhi, 2008. 7.HoelPort and C.StoneIntroduction to Probability TheoryUniversal Book Stall, 2003 (Reprint). 8.RossA First Course in Probability, 6th Ed., Pearson Education India, 2002. 9.Feller