Numerical Data representation on computer, Computer as a crunching tool, Floating Point number, representation and arithmetic: Error, Stability, Convergence. Theory of computational solution to problem: numerical algorithm formulation and design, numeric software systems. Introduction to use of Matlabs and Maple in numerical computation and engineering applications. Emphasis is on the use of software to solve real problems. Iterative solution of non-linear systems (Newton’s method) Numerical solution of linear systems. Numerical computation of Eigenvalues eigenvectors. Curve fitting; Function approximation. Numerical differentiation and integration (Simpson’s rule, etc). Explicit and Implicit methods. Differential equations (Euler’s Method, etc) Linear Algebra: Finite Differences.