Subject Details
Dept     : MECHATRONICS
Sem      : 4
Regul    : 2019
Faculty : U.Mehar Sudha
phone  : NIL
E-mail  : mehar.u.math@snsct.org
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Lecture Notes

UNIT 1:
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Discrete Random variable
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Discrete Random variable
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Continuous random variables
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Continuous random variables
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Moments
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Moment generating functions
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Binomial & Poisson distribution
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Binomial & Poisson distribution
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Poisson & Exponential distribution
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Poisson & Exponential distribution
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Exponential & Normal distribution
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Exponential & Normal distribution
UNIT 2:
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Sampling distributions-Tests for Difference of two means(large samples)
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Sampling distributions-Tests for Difference of two means(large samples)
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Sampling distributions-Tests for Difference of two means(large samples)
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Sampling distributions-Tests for single mean and Difference of two means(small samples)
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Sampling distributions-Tests for single mean and Difference of two means(small samples)
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Tests for single variance and equality of variance
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Chi square test for goodness of fit-Independence of attributes.
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Chi square test for goodness of fit-Independence of attributes.
UNIT 3:
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Newton Raphson method
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Newton Raphson method
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Pivoting Gauss Jordan methods
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Pivoting Gauss Jordan methods
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Iterative methods of Gauss-Seidal
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Iterative methods of Gauss-Seidal
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Matrix Inversion by Gauss-Jordan method
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Matrix Inversion by Gauss-Jordan method
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Matrix Inversion by Gauss-Jordan method
UNIT 4:
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Lagrange’s interpolation
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Numerical integration using Trapezoidal rules.
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Newton’s forward difference interpolation
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Numerical integration using Simpson’s 1/3rd rules.
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Numerical integration using Trapezoidal rules.
UNIT 5:
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Single step methods: Taylor’s series method
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Fourth order Runge-Kutta method for solving first order equations
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Multi step methods: Milne’s predictor-corrector methods for solving first order equations