This book is for students whose branch of study requires an understanding of some engineering mathematical concepts. It has been written bearing in mind the difficulty that faces student to acquire some mathematical concepts without feeling too many the hurdles of comprehensions. It tends to give the student the essentials without going in deep theory which is not, in most of the case, necessary. Those who want to have more theoretical background can easily have access to that by doing more reading in books well established in the field; some of them are listed at this end of this book. The topics discussed in this book are; Derivatives and Primitives, Complex numbers and Trigonometric, First and second order linear differential equations, Matrices and Determinants, Coordinate Systems, Series, Laplace transforms, Z transforms and Probability and Statistics. This book deals as well with practices examples in hydraulic, mechanics, electronics, acoustics and electric analogy of the universal gravitation fields. Finally your comments, suggestions and criticisms are more than welcome.