Advanced Mathematics. 2

Author: Compiled by the Writing Group of "Advanced Mathematics"
Publisher:
Publishing Date: 2005-01-01
Features: The adult higher education sector has experienced rapid development in recent years, particularly in the advancement from vocational college to undergraduate programs. To meet the demands of educational development, the Ministry of Education has revised and issued the "Comprehensive Review and Examination Syllabus for Various Adult Higher Education Institutions." To contribute to the growth of adult higher education and provide as much helpful support as possible for adult candidates to adapt to the new syllabus, Higher Education Press has organized the writing of this "Comprehensive Review and Examination Guidance Materials for Various Adult College Entrance Examinations." This book is one of the volumes in this series. To provide readers with a highly practical and targeted examination guidance book, we thoroughly studied the 2004 edition and all past exam questions from 1994 to 2004, establishing the principle of "one adherence and two targets" for the book's compilation.
1. Strictly adhere to the examination content and requirements stipulated in the 2004 "Examination Syllabus."
2. First, tailor the content to the characteristics of adult candidates; second, align with the fundamental principles of examination question design. The adherence to the principles of question design is reflected in: the book primarily focuses on the fundamental knowledge, principles, and skills of advanced mathematics, avoiding complex calculations and specialized techniques. The alignment with the characteristics of adult candidates is demonstrated in: highlighting the essential elements of fundamental concepts, the distinctive features of basic properties, and the systematic presentation of basic computational methods. Emphasizing the structural forms of concepts or formulas, the book includes a wealth of examples to assist readers in understanding and mastering the material. Each example is accompanied by detailed analysis and explanation, focusing on the structural features of the problems and the thought processes for solving them. Additionally, many concepts, theorems, properties, and some examples are followed by supplementary notes that point out key issues or common characteristics readers should be aware of, aiming to guide self-study and improve efficiency. Furthermore, we compare, summarize, and synthesize the intrinsic differences between various types of questions and the variations in problem-solving methods to facilitate learning.
For each chapter, we provide a summary highlighting the fundamental concepts, related computational issues, common question types, and solution methods. Additionally, to give readers a comprehensive understanding of past question types, we have classified, summarized, and analyzed the exam questions from 1994 to 2004. With diligent study, readers are sure to gain insights that will significantly improve their exam performance.
After each section, we have selected synchronized practice questions, accompanied by reference answers. The book also includes the 2004 advanced placement advanced mathematics (Part II) exam questions and answers to provide candidates with a macro-level overview of the questions.