Subject Details
Dept     : MECHATRONICS
Sem      : 4
Regul    : 2023
Faculty : S.Sindhuja
phone  : NIL
E-mail  : sindhuja.171@gmail.com
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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 variable
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Continuous random variable
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Moments – Moment generating functions
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Properties
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Axioms of probability
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Conditional probability - Total probability
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Bayes theorem
UNIT 2:
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Sampling distributions
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Tests for single mean, proportion and Difference of means (large samples)
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Tests for single mean, proportion and Difference of means (large samples)
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Tests for single mean, proportion and Difference of means (small samples)
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Tests for single mean, proportion and Difference of means (small samples)
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Tests for single variance and equality of variance
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Tests for single variance and equality of variance
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Chi square test for goodness of fit
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Chi square test - Independence of attributes
UNIT 3:
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Newton-Raphson method
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Newton-Raphson method
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Solution of linear system of equations -Gauss elimination method
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Iterative methods of Gauss- Jacobi
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Gauss elimination method
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Pivoting Gauss-Jordon methods
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Iterative methods of Gauss- Jacobi
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Iterative methods of Gauss-Seidal
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Iterative methods of Gauss-Seidal
UNIT 4:
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Lagranges interpolation
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Lagranges interpolation
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Newtons forward difference interpolation
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Newtons backward difference interpolation
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Approximation of derivatives using interpolation polynomials
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Approximation of derivatives using interpolation polynomials
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Numerical single integration using Trapezoidal rules
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Numerical single integration using Simpsons 1/3 rules
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Numerical single integration using Simpsons 1/3 rules
UNIT 5:
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Single step methods: Taylors series method
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Eulers method
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Modified Eulers method
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Fourth order Runge-kutta method for solving first order equations
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Fourth order Runge-kutta method for solving first order equations
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Fourth order Runge-kutta method for solving first order equations
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Multi step methods: Milnes predictor - Corrector methods for solving first order equations
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Multi step methods: Milnes predictor - Corrector methods for solving first order equations
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Multi step methods: Milnes predictor - Corrector methods for solving first order equations