UNIT 1:
Continuous random variable
Continuous random variable
Moments – Moment generating functions
Conditional probability - Total probability
UNIT 2:
Tests for single mean, proportion and Difference of means (large samples)
Tests for single mean, proportion and Difference of means (large samples)
Tests for single mean, proportion and Difference of means (small samples)
Tests for single mean, proportion and Difference of means (small samples)
Tests for single variance and equality of variance
Tests for single variance and equality of variance
Chi square test for goodness of fit
Chi square test - Independence of attributes
UNIT 3:
Solution of linear system of equations -Gauss elimination method
Iterative methods of Gauss- Jacobi
Pivoting Gauss-Jordon methods
Iterative methods of Gauss- Jacobi
Iterative methods of Gauss-Seidal
Iterative methods of Gauss-Seidal
UNIT 4:
Newtons forward difference interpolation
Newtons backward difference interpolation
Approximation of derivatives using interpolation polynomials
Approximation of derivatives using interpolation polynomials
Numerical single integration using Trapezoidal rules
Numerical single integration using Simpsons 1/3 rules
Numerical single integration using Simpsons 1/3 rules
UNIT 5:
Single step methods: Taylors 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: Milnes predictor - Corrector methods for solving first order equations
Multi step methods: Milnes predictor - Corrector methods for solving first order equations
Multi step methods: Milnes predictor - Corrector methods for solving first order equations