Engineering Mathematics Fundamentals. Volume 1

Author: Dong Jiali
Publisher:
Publish Date: 2001-06-01
Features: This book is a research outcome of the "Reform Plan for Teaching Content and Curriculum Systems in Higher Education Towards the 21st Century" by the Ministry of Education, and is a textbook for the 21st century curriculum. It is designed for key universities while also catering to general universities. Compared to other similar textbooks, this book has the following distinct features:
1. This book is a modular and tiered teaching material for differentiated training. The entire book is divided into three levels: Level 1 is suitable for the majority of programs in general universities and a minority of programs in key universities with relatively low mathematical requirements; Level 2 is suitable for the majority of programs in key universities and a minority of programs in general universities with higher mathematical requirements; Level 3 is suitable for a minority of programs in key universities with even higher mathematical requirements and mathematics enthusiasts in all disciplines. The relationship is that Level 2 is taught based on Level 1, and Level 3 is taught based on Levels 1 and 2. This approach aligns with the educational development trends of the early 21st century and is highly adaptable to various teaching requirements, making it very convenient to use.
2. Emphasizes divergent thinking in teaching. For the most important concepts and theorems, the book attempts to introduce problems based on geometric or physical contexts, then analyzes and demonstrates them to rise to general concepts and conclusions, and finally derives definitions and theorems. This heuristic writing style helps cultivate students' innovative awareness and ability.
3. The system and content of calculus have been adjusted and modified to a certain extent.