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