This Outline is limited to the essentials of calculus. It carefully develops, giving all steps, the principles of differentiation and integration on which the whole of calculus is built. The book is suitable for reviewing the subject, or as a self-contained text for an elementary calculus course.The author has found that many of the difficulties students encounter in calculus are due to weakness in algebra and arithmetical computation, emphasis has been placed on reviewing algebraic and arithmetical techniques whenever they are used.