Advanced Mathematics (Volume 1, Tongji, 4th Edition) Teaching Guide, Learning Guide, Exam Guide (2nd Edition)

Author: Fu Lizhen et al.
Publisher:
Publish Date: 2003-06-20
Features: This book follows the "Advanced Mathematics" (4th Edition) compiled by the Mathematics Teaching and Research Office of Tongji University. It consists of seven parts: "Functions and Limits," "Derivatives and Differentials," "Mean Value Theorems and Applications of Derivatives," "Indefinite Integrals," and more. For the after-class exercises, it is hoped that readers will first think independently and solve problems by themselves during the learning process, and then check against the solutions, rather than relying on them. This book follows the chapter order of "Advanced Mathematics" (4th Edition) compiled by the Mathematics Teaching and Research Office of Tongji University, and each chapter is designed with five sections.
1. Summary of Key Content: Lists basic concepts, important theorems, and formulas, highlighting the core knowledge of key points.
2. Key Knowledge Structure Diagram: Presents in the form of flowcharts, indicating the organic connection between each knowledge point.
3. Common Exam Questions and Typical Graduate Entrance Test Solutions: Selects typical questions from past undergraduate final exam papers and graduate entrance examination papers over the years, along with their solutions.
4. Two-Level Test Questions for Learning Effectiveness: (1) Basic Knowledge Test Questions and Answers; (2) Graduate Entrance Training Simulation Questions and Answers. This section is designed for readers to check their learning effectiveness and exam-taking ability. Through the two-level tests, readers can further deepen their understanding of the learned content and enhance their problem-solving skills.
5. Complete Solutions to After-Class Exercises: Provides detailed solutions to all after-class exercises (including chapter review exercises) of "Advanced Mathematics" (4th Edition) compiled by the Mathematics Teaching and Research Office of Tongji University. Due to space limitations, only the exercises of the Euler equation section are solved for content that exceeds the basic teaching requirements, marked with an asterisk ().