This book Mathematics Calculus has been written primarily for undergraduate Science and Engineering students in Colleges and Universities universally and more than cover the freshman calculus and part of the sophomore level. Students in Senior High at their penultimate and final years will find the introductory of each chapter practically informative, emphasis being more on the practical aspect of the subject matter. Each chapter is planned to encourage rather than to discourage students, thus assisting to remove what a growing number of new students now perceive as an unfriendly doorkeeper at the entrance to the study of Calculus in Mathematics.