Advanced Mathematics (Basic Edition)

Author: Pan Kai
Publisher:
Publish Date: 2004-09-01
Features: This book is compiled based on the newly formulated "Basic Requirements for Teaching Higher Mathematics in Higher Vocational and Technical Education" and "Talent Cultivation Goals and Specifications for Higher Vocational and Technical Education" by the Ministry of Education. The content draws on the strengths of similar textbooks and the achievements of teaching reform in practical teaching, integrating scientific rigor, practicality, uniqueness, modernity, innovation, and accessibility. It aims at application, adhering to the principles of necessity and sufficiency, with a focus on cultivating students' mathematical literacy and abilities. The book is divided into two parts: Basics and Applications, covering topics such as limits and continuity, derivatives and differentials, mean value theorems and applications of derivatives, indefinite integrals, definite integrals and their applications, calculus of multivariable functions, ordinary differential equations, infinite series, determinants, matrices, and linear equations, as well as an introduction to probability and mathematical statistics, and a brief overview of mathematical experiments. Each chapter includes a summary and self-test questions to facilitate self-study and improvement. The book also provides reference answers at the end, along with an introduction to vector algebra, common plane curves and their equations, and an integral table for readers to consult. This book is part of the planned teaching materials for high-quality courses in higher vocational and technical education institutions and can also serve as a textbook for adult higher education in mathematics or a teaching reference for related teachers.