Calculus Tutor. Volume 2: National Higher Vocational and College Education Series Textbooks for Calculus

Author: Liu Shutian
Publisher:
Publish Date: 2003-01-01
Features: This book is a learning guide for the foundational course "Advanced Mathematics" in higher vocational and higher technical education. It is designed to complement the main textbook "Advanced Mathematics" and should be used simultaneously. The book is published in two volumes and is intended for first-year students in vocational economics, management, and engineering programs for the first semester. This is the second volume, which consists of four chapters covering topics such as differential equations, vector algebra and spatial analytical geometry, multivariable calculus, and infinite series. Content marked with an asterisk () is optional for non-engineering students and is intended only for engineering students. Each chapter is structured into three parts: teaching requirements, content summary and problem-solving guidance, and self-assessment questions with reference answers. Teaching requirements specify the knowledge points students should master and understand; content summaries highlight key points and easily confused concepts; problem-solving guidance teaches mathematical thinking methods through typical examples and reveals problem-solving patterns; self-assessment questions are designed to assess students' abilities, and reference answers are provided at the end of each chapter for reference. The authors have long taught "Advanced Mathematics" to vocational and technical students and deeply understand the difficulties and confusion they face when learning advanced mathematics. Therefore, this book is compiled according to the syllabus requirements, catering to students' comprehension levels and understanding abilities. The text is written in clear and concise language with abundant examples, intuitive diagrams, and thought-provoking content, making it easy for self-study. It emphasizes the training of foundational knowledge and the development of comprehensive abilities. This book can serve as a supplementary textbook or reference material for students in vocational economics, management, and engineering programs studying advanced mathematics. It is also suitable for self-examination candidates and students at vocational universities as a reference book. For math enthusiasts, it is an excellent self-study textbook.