Advanced Mathematics (College Level) - Volume 1

Author: Department of Higher Education, Ministry of Education
Publisher:
Publish Date: 1999-06-03
Features: This book is a national planning textbook for adult higher education, written according to the "Basic Teaching Requirements for Main Courses in Engineering of Adult Higher Education" issued by the Ministry of Education in 1998, specifically the "Basic Teaching Requirements for Higher Mathematics (Diploma Level)". The textbook was jointly compiled by a committee of 12 mathematics teachers from 10 universities, including Beihang University, Zhejiang University, Xi'an Jiaotong University, Tongji University, Tianjin University, Jilin University of Technology, South China University of Technology, Huazhong University of Science and Technology, North China Jiaotong University, and Beijing Xicheng District Worker University. The book is divided into two volumes, with the first volume containing six chapters covering functions, limits and continuity, derivatives and differentials, applications of derivatives, indefinite integrals, definite integrals, and their applications. Exercises are provided at the end of each chapter, and a review section is included at the end of each chapter. The features of this book are as follows:
1. Strictly adhering to the teaching requirements and following the principles of education, the book ensures teaching quality comparable to that of ordinary universities while fully considering the characteristics of vocational and technical education. It emphasizes quality cultivation with a focus on "what is necessary and sufficient" to strengthen students' overall competence.
2. The book highlights key points, breaks down difficulties, and emphasizes geometric intuition and physical explanations, fostering students' spatial imagination, abstract generalization, and logical reasoning abilities.
3. To facilitate self-study, the book provides in-depth yet accessible explanations of fundamental concepts, theories, and methods, along with numerous examples and explanations to help students better understand and master the essence of these topics. It also organizes basic methods systematically to develop students' computational skills.
4. To cultivate students' awareness, interest, and ability in applying mathematics, the textbook includes numerous practical examples and exercises.
5. To assist students in their studies, a companion study guide has been compiled to accompany the textbook.