Calculus Tutor. Volume 1

Author: Sheng Xiangyao
Publisher:
Publish Date: 2003-12-01
Features: This book is basically compiled according to the requirements of the senior mathematics teaching syllabus for engineering colleges nationwide, and it is also the crystallization of the author's many years of teaching and tutoring experience in senior mathematics at Tsinghua University. The book is divided into two volumes, with the first volume containing 7 chapters: Functions, Limits and Continuity, Derivatives and Differentiation, Applications of Derivatives, Indefinite Integrals, Definite Integrals, Space Analytic Geometry, and Vector Algebra. Each section begins with "Content Summary," which outlines the main knowledge points of the section. Then, "Example Analysis" follows, which dissects and guides various types of problems through methods such as analysis, explanation, questions, and summaries. At the end of each chapter, "Exercises and Answers" are provided for readers to practice and check their understanding. This book is basically compiled according to the requirements of the senior mathematics teaching syllabus for engineering colleges nationwide, and it is also the crystallization of the author's many years of teaching and tutoring experience in senior mathematics at Tsinghua University. The book is divided into two volumes, with the first volume containing 7 chapters: Functions, Limits and Continuity, Derivatives and Differentiation, Applications of Derivatives, Indefinite Integrals, Definite Integrals, Space Analytic Geometry, and Vector Algebra. Each section begins with "Content Summary," which outlines the main knowledge points of the section. Then, "Example Analysis" follows, which dissects and guides various types of problems through methods such as analysis, explanation, questions, and summaries. At the end of each chapter, "Exercises and Answers" are provided for readers to practice and check their understanding. This book can serve as a supplementary textbook for engineering college students and self-learners of senior mathematics, and it can also be referenced by teachers of senior mathematics in engineering, graduate students in non-mathematics majors, and secondary school mathematics teachers.