The book covers the mathematics syllabus of the first semester of the Bachelor's degree in engineering of most of the universities all over the world. Knowledge of foundation courses in basic college mathematics such as classical algebra, trigonometry, 2-dimensional coordinate geometry and vector algebra is a pre-requisite. However, many topics such as matrices, calculus of both differential and integral of real- valued (scalar) functions as well as calculus of vector valued functions are dealt in detail ab initio. Special care is taken while presenting the applications of vectors to mechanics and integration of vector-valued functions with respect to scalars. At the end, a detailed bibliography and alphabetically arranged index of topics are also provided for easy reference. For more details, please visit https://centralwestpublishing.com