Calculus. Volume 2

This book is written in accordance with the "Basic Requirements for Mathematics Course Teaching" proposed by the latest National Financial and Economics Undergraduate Mathematics Course Teaching Steering Committee and in accordance with the basic spirit of reforming the teaching content and curriculum system of financial and economics mathematics in the 21st century. This textbook absorbs the advantages of excellent domestic and foreign textbooks, focuses on the popular analysis of abstract concepts, and emphasizes the concise summary of commonly used methods. It has a clear structure, accurate concepts, simple and concise explanations. This book focuses on explaining abstract concepts such as limits, continuity, derivatives and differentials, definite integrals, and differential equations in a popular way: introducing these abstract concepts through examples, making boring concepts concrete and popular, so that students can truly feel that these definitions come from real life, and it is convenient to cultivate students' application and practical abilities. In the context of the transformation of applied technology universities, we integrate mathematical modeling ideas into teaching materials and select some real-life problems and simplify them into examples, which can better cultivate students' application and innovation abilities. This book can be used as a textbook for "calculus" courses in various financial and economics majors in applied undergraduate colleges, and can also be used as a reference for self-study by engineering and technical personnel.