Practical Calculus

This book is a general textbook for engineering majors in higher vocational education and is compiled based on the "Basic Requirements for Teaching Advanced Mathematics Courses in Higher Vocational Education". This book draws on the advantages of various versions of "Mathematics" textbooks for higher vocational colleges across the country, and combines them with the current situation of higher vocational students, highlighting the purpose of application and the degree of necessity and sufficiency. The whole book focuses on application, downplays theory, and emphasizes innovation. It takes the thinking methods of advanced mathematics as the main line, uses case-driven teaching content, and closely connects basic concepts, basic theorems, and basic operations with practice. The book is divided into eight chapters. The main contents include the limit and continuity of functions, differential calculus of functions of one variable and its applications; integral calculus of functions of one variable and its applications; ordinary differential equations and their applications; calculus of multivariate functions and their applications; infinite series; introduction to mathematical modeling and mathematical experiments. At the back of the book are included common formulas in elementary mathematics, simple integral tables, syllabus for higher vocational education junior college mathematics examinations, and answers to exercises. The reasoning in this book is simple, and mathematical thinking methods are integrated throughout the book. It is convenient for teachers' teaching and students' self-study. It is an ideal textbook suitable for use in various engineering majors in higher vocational colleges.