In this notes we cover the Syllabus
Numerical methods
- Need of numerical methods.
- Real number and their accuracy
- Exact real number and approximate real numbers
Representation of real numbers .
- Fixed point representation and floating point representation
- Standard floating point representation
- Rounding off rules
Errors.
- Definition of errors
- Types of errors
- General error formula
- Question on errors
Equation.
- Types of equations :- Algebraic equations and transdental equations.
- Roots of Algebraic equations and transdental equations.
Methods for solving Roots of Algebraic equations and transdental equations.
- Bisection Method ( Bolzano method)
- Fixed point iteration method (method of successive approximation)
- Regula falsi method ( Method of falsi position)
- Newton raphsm method (N.R.M)
- Geometrical representation and questions on this topics
- Some conditions and theorem on these topics