- Solution of Non-linear Equations
- Fixed Point Iteration
- Bi-Section method
- False Position method
- NewtonRaphson method
- Bairstow’s Method
- Solution of Linear equations
- Triangular systems and back substitution
- Gauss-Jordan elimination method
- Pivoting
- LU-factorization
- Cholesky’s method
- Interpolation and Approximation
- Taylor’s Series
- Lagrangian interpolation
- Divided differences formula
- Newton’s forward and backward interpolation
- Numerical differentiation
- Numerical Integration
- Newton’s-Cote integration
- Trapezoidal rule
- Simpson’s rule (1/3 and 3/8 rule)
- Ordinary Differential Equations
- Euler’s method
- Milne’s method
- Taylor’s series method
- Runge-Kutta method
- Curve Fitting