Numerical Methods - Engineering Mathematics

This course is designed to equip students with the fundamental concepts and techniques of numerical methods, which are essential for solving engineering and scientific problems. The course focuses on both theoretical understanding and practical implementation of numerical algorithms. It is tailored to meet the requirements of GATE examinations in various engineering disciplines.

Roots of Algebraic Equations (29 min)
Descartes' Rule of Signs (22 min)
Bisection method & Regula - Falsi method (False Position Method) (22 min)

Newton Raphson Method (20 min)
Example (Bisection Method & Regula Falsi Method) (30 min)

Example (Newton Raphson Method) (26 min)

Example (Newton Raphson Method) (21 min)

Previous Year Example-I (20 min)

Previous Year Example-II (24 min)

Finite Differences (34 min)

Backward Differences (42 min)

Newton Gregory formula for interpolation using backward differences (27 min)

Gental Differences (14 min)

Gaussian & Sterling’s interpolation formulae (65 min)

Numerical Integration (62 min)

Simpson 1/3^rd rule and 3/8^th rule (58 min)

Gauss Siedel Method (50 min)

Example (28 min)

Euler method (44 min)

Runge Kutta method (54 min)

Error Analysis Method in Numerical Method (44 min)

Basic Error Principle (53 min)

Convergence of Newton Method (44 min)