Download or read book Calculus I: The Derivative and Its Applications written by Patrick Clark and published by Quantum Scientific Publishing. This book was released on 2023-08-12 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus I: The Derivative and Its Applications uniquely addresses all of the rules and applications of Differential Calculus necessary for the AP Calculus AB and BC courses. The material is presented in a modular format of 90 lessons that allows maximum flexibility for the student and the teacher. Lessons begin with the precalculus topics of functions and limits, discuss the definition of the derivative and all differentiation rules, and investigate applications of the derivative including curve sketching, optimization, and differentials. The lessons are designed to be rigorous enough for the serious student, yet user-friendly enough for the independent learner. All lessons include worked examples as well as exercises with solutions.