Calculus: Economics and Management

Author: Tian Qiuye, Editor-in-Chief
Publisher:
Publish Date: 2004-09-01
Features: This book is one of the textbooks in the "Higher Vocational Education Mathematics Series" for economics and management majors. It is compiled in accordance with the "Basic Requirements for Teaching of Higher Mathematics for Economics and Management Majors" formulated by the Ministry of Education, reflecting the current development trends in the curriculum design of mathematics courses for high-quality practical talent training in higher vocational education and the mathematical philosophy. The book is divided into ten 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, multivariable calculus, double integrals, an introduction to differential and difference equations, and infinite series. Each section is accompanied by a sufficient number of exercises, and each chapter includes self-assessment questions. The answers and hints to the exercises are provided at the end of the book for reference. This book highlights the rich teaching experience accumulated by the authors in teaching, emphasizing the transmission of fundamental knowledge and the cultivation of basic abilities in students. The introduction of mathematical concepts emphasizes geometric backgrounds and economic significance, while the basic training focuses on both conceptual understanding and computational skills. For this reason, the book not only clarifies mathematical concepts and methods but also emphasizes connections with the practicalities of finance and economics, selecting typical economic examples to illustrate the application of calculus in economic management, enabling students to learn quantitative analytical methods in economic analysis. The selection of examples and exercises in this book has distinctive features: the examples are typical and thought-provoking, and the exercises are designed in a tiered structure, ranging from easy to difficult. This not only meets the needs of teaching at different levels but also facilitates students in gradually deepening their understanding of the knowledge. Each chapter includes a summary of knowledge and a summary of problem-solving methods to guide students in quickly grasping the key points and difficulties of the chapter and consolidating the knowledge learned. The self-assessment questions at the end of each chapter can be used by students to check their learning progress. This book can be used as a textbook or teaching reference for higher vocational education students in economics and management majors at universities, and it can also be used by adult education students in related fields at colleges.