Answer explanation
The answers are all complete. As expected of the review, the quality is indeed much higher. Searching is also extremely convenient, and I have recommended it to many students.
Advanced Mathematics
"Advanced Mathematics" (Volume 1 and 2) is based on the spirit of the "Teaching Content and Curriculum Reform Plan for Higher Education Facing the 21st Century" proposed by the Ministry of Education, and combined with the opinions of the working meetings of the National College Engineering Mathematics Teaching Steering Committee in recent years, as A textbook compiled by Guizhou Tongren University to build quality courses and emphasize the practicality of higher mathematics. The whole book is divided into two volumes: upper and lower. The contents of the first volume include function limits, calculus and applications of functions of one variable, and spatial analytic geometry. The contents of the second volume include calculus of multivariate functions, series, and differential equations. Each chapter is equipped with exercises and general exercises. Use the general exercises to test the learning effect. The questions are of appropriate difficulty and level, and can basically be completed with hard work.
This book focuses on integrating the cultivation of mathematical qualities into the teaching content, highlighting the basic ideas and methods of calculus; it strives to be practical, concise, and easy to understand in terms of content; during use, pay attention to problem-driven teaching and teaching with problems. Introducing new knowledge and new methods to solve problems is another original intention of writing this book.
During the writing process, I drew on the architecture of traditional higher mathematics, but also made some attempts to integrate the traditional chapter of indefinite integrals into definite integrals and change it to integrals and their applications. When students learn the concept of definite integrals, they will have difficulties in calculating definite integrals. To solve this problem, they must learn indefinite integrals. This is also a method of problem-driven mathematics teaching.
it works
it works
it works