About this course

The influence of mathematics on real life is increasing day by day. Mathematical technology will be a practical technology with the most extensive, direct, timely and creative application. Calculus is the core course of university mathematics. It mainly studies the differential, integral and other related concepts and applications of functions. It is the basis for learning other mathematics courses such as probability theory and complex variable function. It is the basic tool of professional courses in science and engineering. Therefore, calculus is an important basic theory course in universities of science and engineering. Calculus (II) is a compulsory course for undergraduates. The basic requirements of the course include the theoretical knowledge and application of series, multivariate function and multiple integral. Through the teaching of English, students learn to acquire mathematical knowledge in English while mastering and using English in the process of learning mathematics to achieve a win-win goal of mathematics and English. Therefore, we can cultivate international talents with international competitiveness and meet the needs of the state and society.

Outcome

The purpose of this course is to enable students to master the basic concepts, theories and operations of multi-variable calculus. Students can master the basic definition, basic theory and basic operation skills of multi-variable calculus. Course features: This course is illustrated with pictures and texts. It adopts five teaching links of "problem description - example description - summary - thinking - problem feedback ", with clear logic and rigorous demonstration.

Requirements

Maths in High School; English; Calculus I

Reference Materials

Matching textbook: Calculus, Ninth Edition (Varberg, D., Purcell, E.J., Rigdon, S.E.). Beijing: Mechanical Industry Publisher, 2011.11.
Reference materials: Advanced Mathematics (I and II), Department of Mathematics, Tongji University. Beijing: Higher Education Press, 2017.5.

Syllabus

• Chapter 9 Infinite Series
• Chapter 10 Conics and Polar Coordinate
• Chapter 11 Geometry in Space and Vectors
• Chapter 12 Derivatives for Functions of Two or More Variables
• Chapter 13 Multiple Integrals
• Chapter 14 Vector Calculus

Lecturer

	Xue Deng South China University of Technology School of Mathematics Professor Deng Xue, Ph.D., Professor, Master’s supervisor. Research field is portfolio and risk analysis. As the first author, she has published more than 40 scientific research and teaching papers in the top journals of SCI, such as “Information Sciences”, “Applied Soft Computing” and “Computers & Industrial Engineering”. In the past five years, she has presided over more than 10 projects, including the Humanities and Social Sciences Youth Fund of the Ministry of Education, the Natural Science Fund of Guangdong Province, and the Soft Science of Guangdong Province. She has won "one hundred most influential and outstanding domestic academic papers in 2016 and 2013" (the first author, with 3020 citations); twice "Nanguang Award" for teaching excellence of South China University of Technology, "special award for teaching achievements", twice "undergraduate excellent teaching demonstration course"; and "excellent instructor Award" of Guangdong financial modeling competition.
	Yong Liang South China University of Technology School of Mathematics Lecturer Liang Yong, Ph.D., teacher of the School of Mathematics, South China University of Technology. The research field is nonlinear wave. He has taught the "Calculus", "Linear Algebra" and "Analytic Geometry" and other courses for more than 14 years. He won the first-prize (Rank No. 1) in the Young Teachers' Teaching Competition of South China University of Technology for two times and won the 2017-Teaching Excellence Award. He presided over the Basic Research Funding for the Central University of South China University of Technology, and participated in four National Natural Science Foundation projects. He has presided over one Guangdong Province Education Reform project, three SCUT Education Reform projects (including one major project), and one Undergraduate Micro-Course project.
	Xiaolan Liu South China University of Technology School of Mathematics Professor Liu Xiaolan, Ph.D., professor, master supervisor. Mainly engaged in machine learning and optimization algorithm research. The course focuses on calculus, mathematics experiment, operation research, information theory and coding technology. She has published more than 20 scientific research papers in Information Sciences, IEEE transaction on image processing, Siam Journal on scientific computing and other important journals, and published the textbook typical cases of mathematical experiments in Higher Education Press. In the past five years, she has presided over many projects of NSFC and provincial and ministerial level. She has won the first prize of excellent teaching and the second prize of excellent instructor of students' scientific and technological innovation in South China University of technology.
	Wenhua Gao South China University of Technology School of Mathematics Associate Professor Gao Wenhua, Ph.D., associate professor, master supervisor. The main courses of graduate students are stochastic optimal control, mathematical modeling and mathematical experiments. She has won the third prize of the second Excellent University Alliance young teachers' teaching innovation competition, the first prize of undergraduate teaching excellence of South China University of technology and the excellent teaching and research paper award. Presided over many projects such as the teaching, research and teaching reform project of Guangdong Provincial Department of education, the basic scientific research business expenses of Central Universities and the school level teaching, research and teaching reform, and participated in many projects funded by the National Natural Science Foundation. She participated in the preparation of higher mathematics teaching guidance book published by higher education press and published more than 20 papers.
	Qigui Yang South China University of Technology School of Mathematics Professor Yang Qigui, the second level Professor, doctor, postdoctoral, doctoral supervisor, vice president. He is a famous teacher of South China University of Technology and the provincial training object of "one hundred and ten" talent project in Guangdong Province. 118 papers have been published in important academic journals at home and abroad, 102 of which have been included in SCI. SCI cited positively for more than 1500 times. He won the first prize of Guangxi science and technology progress (ranking first). Four undergraduate courses and five postgraduate courses. In 2002, he won the second prize (independent) of excellent thesis in higher education and teaching in Guangxi, the first prize of excellent teaching at the school level of South China University of technology from 2013 to 2014, the second prize (ranking: 1), the second prize (ranking: 2) and the second prize (ranking: 2) of the sixth Provincial Higher Education in Guangdong Province.