Study Guide for Advanced Mathematics

Author: Di Shengjia, Editor-in-Chief
Publisher:
Publish Date: 2003-09-01
Features: The title of this book aligns with the basic requirements of the higher mathematics curriculum in science and engineering colleges across the country. It includes both fundamental problems matching the core content and comprehensive problems designed to enhance understanding. To address the challenges students face, such as finding it difficult to get started and grasp the material, we emphasize pre-solution analysis and post-solution summaries, progressing from simple to complex and in a step-by-step manner. The goal is to improve students' ability to analyze and solve problems. The book is divided into two parts, totaling sixteen chapters. Part (Chapters 1 to 12) covers topics such as single-variable calculus, multivariable calculus, spatial analytical geometry, series, and ordinary differential equations. The second part (Chapters 13 to 16) focuses on several key topics, including methods for finding function limits, techniques for proving inequalities, proofs of propositions related to the mean value theorem, and proofs of propositions related to definite integrals. These topics are common in teaching and learning. Each chapter is organized into sections such as Content Overview, In-depth Examples, Immediate Practice, Comprehensive Improvement, and Reference Answers. This book is suitable for students in science and engineering majors at universities and colleges, as well as for those taking the National Higher Education Self-Study Examination.