Numerical and Statistical Methods

List of Practical :

1. Iterative Calculation

a. Program for iterative calculation.

b. Program to calculate the roots of a quadratic equation using the formula.

c. Program to evaluate 𝑒𝑥 using infinite series.

2. Solution of algebraic and transcendental equations:

a. Program to solve algebraic and transcendental equation by bisection method.

b. Program to solve algebraic and transcendental equation by false position method.

c. Program to solve algebraic and transcendental equation by Secant method.

d. Program to solve algebraic and transcendental equation by Newton Raphson

method.

3. Interpolation

a. Program for Newton’s forward interpolation.

b. Program for Newton’s backward interpolation.

c. Program for Lagrange’s interpolation.

4. Solving linear system of equations by iterative methods

a. Program for solving linear system of equations using Gauss Jordan method.

b. Program for solving linear system of equations using Gauss Seidel method.

5. Numerical Differentiation

a. Programing to obtain derivatives numerically.

6. Numerical Integration

a. Program for numerical integration using Trapezoidal rule.

b. Program for numerical integration using Simpson’s 1/3rd rule.

c. Program for numerical integration using Simpson’s 3/8th rule

7. Solution of differential equations

a. Program to solve differential equation using Euler’s method

b. Program to solve differential equation using modified Euler’s method.

c. Program to solve differential equation using Runge-kutta 2nd order and 4th order

methods.

8. Regression

a. Program for Linear regression.

b. Program for Polynomial Regression.

c. Program for multiple linear regression.

d. Program for non-linear regression.

9. Random variables and distributions

a. Program to generate random variables.

b. Program to fit binomial distribution.

c. Program to fit Poisson distribution.

10. Distributions

a. Program for Uniform distribution.

b. Program for Bernoulli distribution

c. Program for Negative binomial distribution.