This book is aimed at the characteristics of the training objectives of high-skilled applied talents in higher vocational colleges, especially in science and engineering colleges. It follows the principle of "taking application as the purpose and taking necessary and sufficient use as the measure", based on "understanding basic concepts, mastering basic calculation methods and applications", and combining It is compiled according to the "Basic Requirements for the Teaching of Advanced Mathematics Courses in Higher Vocational Colleges" formulated by the Ministry of Education and the Jiangsu Province Junior College to Undergraduate Examination Syllabus. The content of this book includes functions, derivatives and differentials, applications of derivatives, indefinite integrals and ordinary differential equations, definite integrals and their applications, etc. This book is equipped with online open courses and QR code micro-courses, as well as exercises, after-class answers and exercise books. This book has been awarded the "Thirteenth Five-Year Plan" national planning textbook for vocational education.
