Calculus (Second Edition)

Author: Feng Cuilian
Publisher:
Publish Date: 2004-06-01
Features: This book is listed as a "High Education Excellent Teaching Material Project" by the Beijing Municipal Education Commission and serves as a textbook for the "Calculus" course in higher vocational and higher secondary education for economics and management majors. It was developed based on the "Basic Requirements for Economic Mathematics Foundation Teaching" formulated by the Ministry of Education, and is structured around the author's extensive teaching experience in teaching "Calculus" to economics and management students in higher vocational and secondary schools. The book is divided into six chapters, covering topics such as: functions, limits, and continuity; derivatives and differentials; mean value theorems and applications of derivatives; indefinite integrals; definite integrals and their applications; and differential calculus of multivariable functions. Each chapter includes two types of exercises: Group A (basic problems) and Group B (comprehensive and advanced problems), along with a comprehensive exercise at the end of each chapter. Group A exercises are fundamental, while Group B exercises are designed for comprehensive practice and skill enhancement. The book provides answers or hints for all Group A and Group B exercises in each chapter at the end, and the accompanying supplementary textbook, "Calculus Learning Guide," offers detailed solutions for all Group B exercises and comprehensive exercises in each chapter for reference by both teachers and students.
The book is tailored to students' learning abilities and comprehension levels, adhering to the basic teaching requirements to explain the fundamental content of "Calculus." The explanations are clear and concise, with abundant examples, intuitive diagrams, and thought-provoking content, making it easy for self-study. It emphasizes the introduction of economic concepts and the application of calculus in economics, focusing on training students' foundational knowledge and developing their comprehensive abilities. This book can be used as a textbook for one semester of the "Calculus" course for higher vocational and secondary education students in economics and management. It is also suitable as a teaching and learning reference for students in self-study programs, adult education, diploma examinations, and for faculty in vocational schools who teach and study "Calculus."