Calculus

Author: Feng Cuilian
Publisher:
Publish Date: 2004-06-01
Features: This book is listed as a "Higher 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 diploma education for economics and management majors. It is compiled based on the "Basic Requirements for Economic Mathematics Foundation Teaching" formulated by the Ministry of Education, as well as the author's extensive teaching experience in teaching "Calculus" to economics and management vocational students over the years. The book is divided into six chapters, covering topics such as: Functions, Limits, and Continuity, Derivatives and Differentiation, Mean Value Theorems and Applications of Derivatives, Indefinite Integrals, Definite Integrals and Their Applications, and Multivariable Calculus. Each chapter is equipped with two types of exercises: Group A and Group B, along with a comprehensive exercise for each chapter. Group A exercises are basic problems, while Group B exercises are comprehensive and advanced problems. The answers or hints for Group A and Group B exercises in each section, as well as the comprehensive exercises for each chapter, are provided at the end of the book. Additionally, the accompanying supplementary teaching material, "Calculus Learning Guide," offers detailed solutions for all Group B exercises and comprehensive exercises for each chapter, serving as a reference for both teachers and students. This book is designed to cater to students' learning abilities and comprehension levels, following the basic teaching requirements to explain the fundamental content of the "Calculus" course. The explanations are clear and easy to understand, with abundant examples, intuitive diagrams, and thought-provoking content, making it convenient 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 higher diploma students in economics and management, or as a teaching and learning reference for students participating in self-study exams, adult education, diploma exams, or for vocational college teachers and students studying "Calculus."