Calculus: Engineering

Author: Zhao Jiayin
Publisher:
Publish Date: 2004-09-01
Features: This book is one of the textbooks in the "Higher Education Mathematics Series" for engineering majors, specifically for the "Advanced Mathematics" course. It is compiled in accordance with the basic teaching requirements for "Advanced Mathematics" in engineering majors formulated by the Ministry of Education, reflecting the current development trends and teaching philosophies in the mathematical curriculum for high-quality practical talent training 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 has comprehensive review questions and self-assessment tests. At the end of the book, there are answers and hints to the exercises for reference. The book highlights the author's 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 geometric backgrounds and physical significance, while the basic training focuses on both conceptual understanding and computational skills. For this purpose, the author has designed subheadings such as "Think About It," "Try It," and "Note" to inspire readers to think critically. Each section's exercises are divided into two groups: (A) for basic problems and (B) for advanced problems. The advanced problems (B) are mainly selected from the questions of the "Upgrading Examination," and solutions are provided at the end of the book for reference by students preparing for the exam. At the end of each chapter, the author has designed test questions (100 points) related to the chapter content, which readers can use to self-assess their learning outcomes. This book can serve as a textbook and teaching reference for "Advanced Mathematics" courses for engineering majors in higher vocational education, as well as a learning reference for students in related adult education programs.