Advanced Mathematics (5Th Edition)

This book mainly introduces functions, limits and continuity, derivatives and differentials, mean value theorem and applications of derivatives, indefinite integrals, definite integrals and their applications, ordinary differential equations, vector and space analytic geometry, differential calculus of multivariate functions, matrices and determinants, and linear equations. The whole book fully embodies the characteristics of "application-oriented, necessary and sufficient" teaching materials, and forms the characteristics of "clarifying concepts and formulas, strengthening calculations, focusing on practical application, attaching importance to innovation, and improving quality". It aims to develop and optimize students' intelligence, give students the initiative and "freedom" in learning, and cultivate their innovative qualities. This revision combines the requirements of higher vocational colleges, higher vocational undergraduates and other levels, as well as the "junior college to undergraduate" examination syllabus requirements. The textbook incorporates course ideological and political cases and micro videos, adds linear algebra content, new exercises answers and mathematical modeling cases, and revised comprehensive exercises. This book will meet the new requirements of teachers and students in higher vocational colleges in the new era, and at the same time, it can play a leading role in the reform and innovation of teaching models and methods.