Numerical Analysis plays an indispensable role in solving real life mathematical, physical and engineering problems. Numerical computations have been in use for centuries even before digital computers appeared on the scene. Great Mathematicians like Gauss, Newton, Lagrange, Fourier and many others developed numerical techniques. Numerical analysis is an approach to solving complex mathematical problems using simple approximating operations and carrying out an analysis on the resulting errors. In this course, the following areas of Numerical analysis will be covered: finite differences, interpolation, differentiation, integration, solution of non-linear equations and solution of a system of linear equations.
By the end of this course, the student should be able to: