Study Guide for Advanced Mathematics

Author: Mathematics Teaching and Research Office, Beijing Union University
Publisher:
Publish Date: 2005-09-01
Features: Based on the teaching experience of frontline teachers, this book is organized around the fundamental requirements of the new teaching syllabus, with chapters structured by knowledge points. The book consists of 13 chapters. Chapters 1-12 cover topics such as functions and limits, derivatives and differentials, mean value theorems and applications of derivatives, indefinite integrals, definite integrals, applications of definite integrals, vector algebra and spatial analytical geometry, differential calculus of multivariable functions and its applications, multiple integrals, line integrals and surface integrals, infinite series, and ordinary differential equations. Each chapter includes key knowledge points, typical examples, self-assessment questions, and answers. Some chapters also feature brief introductions to mathematicians, mathematical history, and examples of mathematical applications. Chapter 13 introduces the use of Mathematica to study advanced mathematical problems. The content is arranged to align with the order of current textbooks while also considering engagement and practicality. This book can serve as a supplementary exercise book for undergraduate students in general engineering and economic management disciplines, as well as for students seeking advancement in higher education. It is also suitable for reference by instructors of related courses in higher education institutions.