Advanced Mathematics (Engineering)

Author: Zhao Jiayin, Editor-in-Chief
Publisher:
Publish Date: 2004-09-01
Features: This book is one of the textbooks in the "Higher Education Mathematics Series" for engineering majors, specifically designed for the "Advanced Mathematics" course. It is compiled in accordance with the "Basic Requirements for Teaching Advanced Mathematics in Engineering Majors" formulated by the Ministry of Education, reflecting the current development trends and teaching philosophies in mathematics curriculum design for high-quality, practical talent cultivation in higher vocational education. The book is divided into nine chapters, covering topics such as functions, limits and continuity, derivatives and differentials, mean value theorems and applications of derivatives, indefinite integrals, definite integrals, ordinary differential equations, vector algebra and spatial analytical geometry, multivariable calculus, and infinite series. Each section includes a sufficient number of exercises, and each chapter concludes with comprehensive review questions and self-assessment tests. At the end of the book, answers and hints to the exercises are provided for reference.
This book highlights the authors' extensive teaching experience accumulated over the years, emphasizing the transmission of fundamental knowledge and the cultivation of basic skills in students. The introduction of mathematical concepts emphasizes their geometric and physical significance. The foundational training not only focuses on conceptual understanding but also integrates computational skills. To this end, the authors have designed subheadings such as "Think About It," "Try It," and "Note" to inspire readers to reflect. Each section includes exercises divided into two groups: (A) for foundational questions and (B) for advanced questions. The advanced questions (Group B) are primarily selected from examination papers for the "Upgrading to Bachelor's Degree" program, and solutions are provided at the end of the book for reference by students preparing for the upgrade.
At the end of each chapter, the authors have designed test questions (100 points) related to the chapter content, allowing readers to self-assess their learning outcomes. This book can serve as a textbook and teaching reference for engineering majors in higher vocational education taking the "Advanced Mathematics" course, as well as a learning reference for students in related adult education programs.