Here is my syllabus

Floating Point Arithmetic- Errors, Significant digits and Numerical Instability

Roots of Algebraic and Transcendental Equations– The Increment Search Method– Bisection
Method– Method of False Position– Newton Raphson Method

Solution to Simultaneous Linear Equations– Direct Method– Crammer’s Rule– Gauss Elimination
Method– Gauss Jordan Elimination Method– Triangularization Method

Interpolation and Approximation– Lagrange & Newton Interpolations– Finite Difference Operators– Interpolating Polynomials using finite differences– Hermite Interpolation– Least Square
Polynomial Approximation of a data
Unit 5 ((10 hrs)
Numerical Differentiation and Integration- Numerical Differentiation– Methods based on finite
differences– Extrapolation Methods– Numerical Integration– Methods based on Interpolation
Composite Rule– Trapezoidal and Simpson’s Rule– Romberg Integration– Gauss Quadrature
Formulas, Numerical Solution of Ordinary differential equations– Single Step Method– Taylor’s
Series Method– Euler’s Method– Modified Euler’s Method– Runge Kutta Methods

I am doing graduation, Bsc Mathematics, I want a teacher to teach me in malayalam. I prefer tutor from Wayanad.