Numerical Methods

Overview of numerical methods, mathematical modeling, programming concepts, and different types of errors in numerical computation.

Methods for finding roots of algebraic and transcendental equations.

Numerical techniques to solve simultaneous linear algebraic equations.

Techniques for approximating discrete data points with continuous functions.

Methods for approximating derivatives of functions using discrete data points.

Numerical methods for evaluating definite integrals.

Numerical solutions for initial-value and boundary-value problems of ordinary differential equations.

Finite difference and finite element methods for solving partial differential equations.