Paying attention to the help of practical work, paying attention to the interest in learning content and improving the ability to analyze and solve problems, emphasizing the integration of learning content and individual self-experience, and paying attention to the continuous improvement of cognitive strategies, that is, learning to learn, liking cooperation and communicative learning, and so on, are all the ideas for compiling modern distance education textbooks.

The content of this course is relatively wide, and the specific situation and arrangement of each major are different, especially the special requirements of online education. Many teachers and students engaged in the teaching of advanced mathematics hope to have a textbook with prominent focus, concise content, clear explanation, easy to understand and easy to understand. We have organized teachers who have been engaged in the teaching and research of advanced mathematics for many years, and carefully compiled the basic courses of college mathematics which are universal for many majors with few hours, so that different majors in online education can choose flexibly.

In the process of compiling, combined with years of teaching experience, we have made efforts in the following aspects: First, in the teaching content and system structure, the differential calculus and integral calculus of univariate function and multivariate function are correspondingly integrated. Compared with other textbooks, the teaching content and architecture are carefully selected, which not only ensures the continuity and rigor of the teaching content and architecture, but also highlights the refinement of the teaching content. Secondly, it emphasizes the application of mathematics in economic management. According to the content of the textbook, try to introduce concepts naturally, try to draw abstract concepts from practical problems, and let readers know the actual background of concepts. Third, say the concept as accurately and clearly as possible. While proving some important theorems or formulas, try to use geometry to be intuitive and easy for readers to accept. Examples and exercises come from a wide range of sources, including geometry and physics, as well as medicine, economic management and daily life. The examples selected in the book are diverse and typical, and one example can sometimes explain many problems. There are a certain number of exercises at the back of each chapter to consolidate and master the basic theories and methods.