Lower Advanced Mathematics

Author: Xu Shusheng
Publisher:
Publish Date: 2004-09-01
Features: This textbook is compiled in accordance with the "Basic Requirements for the Teaching of Higher Mathematics in Undergraduate Adult Higher Education" promulgated by the Ministry of Education in 1998, and incorporates the practical experience of teaching reform at East China University of Science and Technology. The book is published in two volumes. The first volume introduces the calculus of single-variable functions, covering topics such as functions, limits and continuity, derivatives and differentials, mean value theorems and applications of derivatives, integration, integration methods, applications of definite integrals, and improper integrals. The book appropriately reduces the proofs of some theorems while emphasizing the explanation of fundamental mathematical concepts and methods. It features a rich selection of examples, focuses on geometric intuition, and is written in a clear and accessible manner, making it suitable for self-study. At the end of each section, there are numerous exercises, at the end of each chapter, there are review summaries and review questions, and at the end of each stage, there are stage self-assessment tests as well as mid-term and final mock exams. This book can be used as a textbook for higher mathematics in undergraduate programs with fewer credits, adult education, undergraduate promotion, junior college, vocational colleges, and also as a teaching material for students in online education, correspondence education, and self-study examinations.