Complete Calculus Series with Elementary Differential Equations

Complete Calculus Series Volume One with Elementary Differential Equations includes topics and literature on first courses in college or university calculus, differential equations, and real analysis, the knowledge of which is required in academic disciplines such as economics, forensic science, computer science, software engineering, cyber security, engineering, medicine, accounting, and the general physical and social sciences. The book covers and treats in simple clarity concepts such as the tangent and area problems of calculus, which have generated, respectively, the differential and integral genres of the subject; limits of both elementary and transcendental functions; sequences and series of real numbers, complex numbers, and real-valued functions; polar grid and polar curves; parametric equations; various applications of differential and integral calculus; improper integrals; differential equations of various classes and orders (including selected differential equations with non-constant coefficients), etc.
The mathematical approach in the book is deliberately lucid, detailed, and explicit, with relevant and practical examples aimed at facilitating the understanding of the concepts covered. We strongly recommend that readers make efforts to solve the star exercises labelled *Exercise (or Exercise*), and to attempt the numerous practice questions contained in the exercise sets.