Calculus Problem Solving Course Tutorial

Author: Department of Advanced Mathematics, Huazhong University of Science and Technology
Publisher:
Publish Date: 2004-01-01
Features: This book is written for undergraduate students who are currently studying calculus courses and can also serve as a reference for students preparing for postgraduate entrance exams. The content is closely aligned with the teaching syllabus requirements, and the arrangement follows the teaching schedule. It covers topics such as functions, limits and continuity, single-variable calculus, infinite series, vectors and spatial analytical geometry, multivariable calculus, and differential equations. The selected problem types are typical and comprehensive, with example analyses that are easy to understand, emphasizing summarization and improvement. The supplementary exercises are divided into two categories (A and B) to cater to readers of different levels. Each chapter is structured into five parts: basic requirements, content summary, study guidance, example analysis, and exercises. A reference test paper is provided at the end of the book. This book can be used as a teaching material for exercise classes and as a self-study guide. This book is written for undergraduate students who are currently studying calculus courses and can also serve as a reference for students preparing for postgraduate entrance exams. The content is closely aligned with the teaching syllabus requirements, and the arrangement follows the teaching schedule. It covers topics such as functions, limits and continuity, single-variable calculus, infinite series, vectors and spatial analytical geometry, multivariable calculus, and differential equations. The selected problem types are typical and comprehensive, with example analyses that are easy to understand, emphasizing summarization and improvement. The supplementary exercises are divided into two categories (A and B) to cater to readers of different levels. Each chapter is structured into five parts: basic requirements, content summary, study guidance, example analysis, and exercises. A reference test paper is provided at the end of the book. This book can be used as a teaching material for exercise classes and as a self-study guide.