Gaokao Mathematics Express Route. Volume 1. Advanced Mathematics and Calculus

Author: Wang Chengyi (Editor)
Publisher:
Publish Date: 2005-07-01
Features: A leading work in postgraduate entrance exam mathematics research, suitable for the diverse needs of a wide range of candidates. It provides a deep understanding of the exam syllabus, highlights key points, and delivers concise content. Combining the mathematical system with practical training, it comprehensively covers all exam question types. The book integrates the requirements of engineering and economics postgraduate entrance exams, creating a cohesive whole. The content is arranged progressively, taking into account the comprehensive nature of exam questions to help candidates achieve a thorough understanding. The editor has been teaching postgraduate entrance exam mathematics for 16 years in both academic and social settings and currently teaches at New Oriental Online Education and various postgraduate tutoring classes at New Oriental. Through long-term practice, the editor has a profound understanding of the exam syllabus and offers insightful analyses of past questions. These experiences have been compiled into this book, enabling candidates to take the express train straight to the exam, achieving effective mathematical training in a short period, rapidly improving their exam performance, and achieving twice the result with half the effort. The book features the following:
1. Adhering to the principle of "less but better": Based on a deep understanding of the exam syllabus and insightful analysis of past questions, it highlights key points, selects content meticulously, and analyzes it progressively. With fewer pages, it meets the high-level requirements of comprehensive review and systematic mastery.
2. Adhering to the principle of "combining the mathematical system with practical training": The book is organized by mathematical system into chapters and sections, but each section is divided into two parts: "(A) Key Points" and "(B) Typical Examples." In the key points, it not only comprehensively explains the relevant content of assessment points but also provides in-depth analysis of key and critical points. Typical examples are the core of each section, fully reflecting important methods and main techniques of exam question types, covering the practical requirements of all exam content.
3. Adhering to the principle of "progressive arrangement and comprehensive understanding": The content is arranged progressively according to the mathematical system while also considering the strong comprehensiveness of exam questions, not bound by the sequence of university mathematics. It integrates multiple assessment points for a deeper understanding. For example, the section on "limits" combines methods from differential and integral calculus. This is discussed in Chapter , thus broadening candidates' perspectives and achieving the goal of learning something new while reviewing the old.
4. Adhering to the principle of "coordination and integration": The book the different requirements of postgraduate entrance exams in engineering and economics while unifying the needs of basic, intensive, and final sprint classes into a cohesive whole, catering to the diverse needs of all candidates. This book is an indispensable tool for candidates preparing for the exam and also serves as an important reference for undergraduate students studying advanced mathematics.