The book is a comprehensive yet compressed entry-level introduction on single variable calculus, focusing on the concepts and applications of limits, continuity, derivative, defi nite integral, series, sequences and approximations. Chapters are arranged to outline the essence of each topic and to address learning diffi culties, making it suitable for students and lecturers in mathematics, physics and engineering. ContentsPrerequisites for calculusLimits and continuityThe derivativeApplications of the derivativeThe definite integralTechniques for integration and improper integralsApplications of the definite integralInfinite series, sequences, and approximations