You are welcome to one of the core, and perhaps most interesting, subjects in modern computing: Numerical Computations. This course is core to modern engineering and scientific enterprise for a number of reasons. First, important tasks and activities involved in modern scientific investigations depend on evidences encoded as numerical data. Second, computing techniques are the principal instrument for the rendering, collection and processing of data. Third, all stages in the development of modern engineering devices or mechanisms depend on the use of computing instruments to support their representation, presentation and interpretation. Finally, it is well established that computational formulation of scientific and engineering problems provides the most effective approach to their practical solutions. Despite the power and versatility of modern computing instruments, however, their usefulness depends on the skills of humans to program and apply them appropriately. Such skills include the ability to exercise good judgement in the selection of effective numerical methods and the employment of appropriate computing technique for realising desired solution. It also include a strong awareness of the limits of the power of computing instrument in terms of what a machine can be programmed to do and how exactly the machine does it.