Essential Engineering Mathematics

This book contains most of the material covered in a typical first year mathematics course in an engineering or science programme. It devotes Chapters 1¿2 to consolidating the foundations of Differentiations and Expansion of functions along with dealing of indeterminate forms. Chapters 3-4 deals with Complex numbers and Hyperbolic functions. Chapters 5¿6 covers the range of more advanced topics that are normally treated in the first year, such as Matrices and its applications in learning eigen equations and eigen vectors. At the end Chapters 7-8, concerns with function of several variables to find the Partial Differentiation and its Applications in finding Jcobians, errors and approximations and Maxima Minima Concepts. This book is designed to help with this by covering the basics in a way that enables students and teachers to quickly identify the strengths and weaknesses of individual students and ¿top up¿ where necessary.