This text investigates the fundamental principles of calculus, focusing on the application of limits, derivatives, and integrals to solve complex mathematical problems. Dennis D. Berkey, an experienced educator, presents a structured pedagogical framework designed to guide students through the transition from pre-calculus to advanced mathematical analysis. The book utilizes a systematic approach to theory, emphasizing both the conceptual underpinnings and the practical computational techniques required for engineering and scientific disciplines.

Academic reviewers often categorize this work as a standard, rigorous resource for undergraduate mathematics curricula. Students and instructors frequently note the clarity of the instructional design and the balance between theoretical rigor and procedural practice.