Subject Details
Dept     : MECH
Sem      : 4
Regul    : 2023
Faculty : Palanivel K
phone  : NIL
E-mail  : palanivl.k.math@snsct.org
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Lecture Notes

UNIT 1:
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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 (large samples)
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Tests for single mean, proportion and Difference of means (large 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 2:
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One way and two way classifications-Completely randomized design
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Completely randomized design
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Randomized block design
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Randomized block design
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Randomized block design
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Latin square design
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Latin square design
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Latin square design
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Applications of ANOVA
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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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- 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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Lagrange's interpolation
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Lagrange's interpolation
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Newton's forward difference interpolation
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Newton's 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 Simpson's 1/3 rules.
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Numerical single integration using Simpson's 1/3 rules.
UNIT 5:
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Single step methods: Taylor's series method
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Euler's method
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Modified Euler's 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: Milne's predictor - Corrector methods for solving first order equations
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Milne's predictor - Corrector methods for solving first order equations
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Milne's predictor - Corrector methods for solving first order equations