Advanced Mathematics Competition Question Analysis Tutorial (2020)

This book is compiled based on the higher mathematics competition syllabus formulated by the Higher Mathematics Competition Committee for Non-Science Majors in Jiangsu Province General Colleges and Universities and the postgraduate mathematics examination syllabus formulated by the Ministry of Education. This book is divided into eight topics: limit and continuity, differential calculus of functions of one variable, integral calculus of functions of one variable, differential calculus of multivariate functions, integral calculus of multivariate functions, space analytic geometry, series, and differential equations. Each topic contains three parts: "Basic concepts and content summary", "Competition question analysis" and "Exercise questions". The competition questions in this book are selected from previous higher mathematics competition test questions for non-science majors in ordinary colleges and universities in the country, Jiangsu Province, Zhejiang Province, Shanghai, Beijing and other provinces and cities, previous university mathematics competition test questions from domestic universities such as Nanjing University, and mathematics competition test questions for college students from foreign universities such as Moscow State University.