MAT 213 2.0 Numerical Methods – Department of Mathematics

Course: MAT 213 2.0 Numerical Methods (Compulsory)

Course Content:

Decimal and Binary number systems; Computer representation of numbers; Integral and fractional parts of numbers; Floating-point representation of numbers; Sources of errors; Estimating errors and error bounds; Error propagation; Bisection method; Secant method; Newton’s method; Order of convergence; Lagrange interpolation formula; Divided differences Interpolation; Hermite interpolation; Gaussian elimination; Pivoting; Variants of Gaussian elimination; Vector norms; Forward/Backward difference formula; Three-point formula; Trapezoidal rule; Simpson rule; Gaussian quadrature

Recommend Readings:

1. Mathews, J.H. & Fink K.D. (2004), Numerical Methods using MATLAB (4^th ed.), Prentice-Hall Inc.
2. Burden, R.L. & Faires J.D. (2005), Numerical Analysis (8^th ed.), Thomson Brooks/Cole
3. Atkinson K.E. (1989), An Introduction to Numerical Analysis (2^nd ed.), John Wiley& Sons, Inc.