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