This book is written for the teaching needs of higher vocational colleges. When writing, pay attention to the following ideas: ① For the purpose of application, it must be sufficient; (2) Attach importance to the application of mathematical modeling ideas and strengthen the process of transforming practical problems into mathematical problems; ③ Strengthen the cultivation of mathematical thinking. This book is divided into two parts. The first part includes: function, limit, continuity, derivative and differential, differential mean value theorem, indefinite integral and definite integral. The first part is a compulsory part of each major. The following parts include: multivariate function calculus, infinite series, ordinary differential equations, linear algebra and so on. This book is suitable for the teaching of various majors in higher vocational colleges and can also be used as a mathematics textbook for adult colleges.