EEE 485

Introduction: Motivation & errors in numerical techniques. Taylor series.
Finite difference calculus: Forward, backward, divided & central difference and difference of a polynomial. Interpolation: Newton’s formula, Lagrange, Spline, Chebyshev and inverse. Extrapolation. Non-linear equation: iteration, bisection, false position,
Raphson, Secant & Mullar’s method. Simultaneous linear algebraic equations: Cramer’s rule, inversion of matrices, Guass elimination, Guass-Jordan method, factorization & Guass-Seidal iteration method, Curve-fitting: linear & polynomial regression, fitting power, exponential & trigonometric functions. Ordinary differential equation: Initial value problem, Taylor’s series method, Picard’s method of successive approximation, Euler’s method and Ranga-Kutta method. Boundary value problems. Numerical integration: general Quadrature formula, trapezoidal rule & Simpson’s rule. Numerical Differentiation.