Higher Mathematics Tutorial Notes (Volume 2)

Author: Li Zhengyuan
Publisher:
Publish Date: 2003-03-01
Features: The importance of Advanced Mathematics for college students is self-evident. In recent years, it has been listed as one of the key assessment courses by many ministries, departments, and provincial and municipal governments. It has also been designated as a national unified examination subject for postgraduate entrance exams. However, on one hand, due to the implementation of reforms by scholars, the teaching time for Advanced Mathematics has been reduced in recent years. Under time constraints, in-depth exploration of concepts, integration and mastery of knowledge points, and expansion of the knowledge base have inevitably been affected. On the other hand, subsequent courses and postgraduate entrance exams are trending toward deeper requirements within the scope of the teaching syllabus. How to resolve this new contradiction, and how to closely link the study of Advanced Mathematics during university with the review for postgraduate entrance exams, has become a pressing issue. To address this, the author, based on years of teaching experience at Peking University and his experience in tutoring for the postgraduate entrance exam's Advanced Mathematics section, has listened to the opinions of a wide range of students and referred to current textbooks from prestigious institutions such as Peking University, Tsinghua University, Fudan University, Huazhong University of Science and Technology, Zhejiang University, Sichuan University, and Xi'an Jiaotong University. Through careful compilation, this "Advanced Mathematics Tutoring Guide" has been created.