Advanced Mathematics

Author: He Chunjiang
Publisher:
Publish Date: 2004-08-01
Features: This book is written based on the newly formulated "Basic Requirements for Teaching Higher Mathematics in Higher Vocational and Technical Education" by the Ministry of Education. The book consists of 14 chapters, mainly including: Functions, Limits and Continuity, Derivatives and Differentiation, Applications of Derivatives, Indefinite Integrals, Definite Integrals and Their Applications, Ordinary Differential Equations, Space Analytic Geometry and Vector Algebra, Multivariable Differential Calculus, Multivariable Integral Calculus, Series, An Introduction to Mathematica Mathematical Software, and Graphing Using Mathematica. At the end of the book, there is an integral table, reference answers to exercises and test questions.
This book adheres to the principle of "aiming at application with a focus on necessity and sufficiency," ensuring scientific accuracy while clarifying concepts, reducing the proof of mathematical theories, and emphasizing the cultivation of students' basic computational skills and abilities to analyze and solve problems. It highlights the application of mathematics, introduces mathematical software and mathematical experiments, and strengthens the integration of mathematical methods with computer technology. The textbook strives for concise and clear explanations, breaking down difficult points, and focusing on practical applications.
It can serve as a teaching material for engineering majors in higher vocational colleges, secondary vocational schools, adult colleges, and private colleges, as well as for students preparing for "upgrading to a bachelor's degree" and diploma examinations. This textbook is accompanied by "A Study Guide and Solutions Manual for Higher Mathematics," and free electronic teaching plans are provided for instructors. These plans are created in PowerPoint and can be modified as needed.