NUMERICAL ANALYSIS

THESE NOTES COVER ALL THE TOPICS IN DETAILS. EACH TOPIC IS EXPLAINED WITH TACKING AN EXAMPLE. THIS CONTENT IS SUFFICIENT FOR YOU. TOPICS THAT ARE COVERED ARE:- 1)Introduction to Numerical Methods: Overview of numerical analysis and its applications. Importance of numerical methods in solving mathematical problems. 2)Root Finding Methods: Bisection method Newton-Raphson method 3)Interpolation and Curve Fitting: Lagrange interpolation Newton interpolation 4)Numerical Differentiation and Integration: Trapezoidal rule Simpson's rule 5)Optimization Methods: Newton's method for optimization 6)Error Analysis and Stability: Sources of errors in numerical computations Stability and condition of numerical algorithms Error propagation and rounding errors