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Linear Algebra

Enrollment in this course is by invitation only

About This Course

The course of linear algebra discusses the classic theory of linear relationships in algebra, which is an important fundamental course for science, engineering, economics and management majors for its basic concept, theory and methods have obvious abstraction, logicality and wide applicability. Since linear problems exist widely in various fields of science and technology, and some nonlinear problems can be transformed into linear problems under certain conditions, scientific computing problems are becoming increasingly important in engineering technology. With the development of information science, the course plays more and more important role in current times, and it has become a widely used mathematical tool in the field of natural science and engineering technology. The scope of linear algebra covers arrays, matrix, linear relation of vector groups, linear equations, matrix similar diagonalization, quadratic form, linear space and linear transformation.


This online course includes a video detailed explains the theory and application of linear algebra, proper exercises and supplemental materials. The course has the following characteristics:

1. It contains a complete set of teaching materials including more than 40 knowledge point videos, about 200 exercises, PPT, the explanation of typical examples, teaching calendar, study guide and so on.

2. It focuses on the systematization and coherence of knowledge, and aims to expanding students' thinking. In the explanation of theory and examples, it focuses on inspiring and improving students' learning by asking questions or pointing out ideas to arouse students' initiative.

3. The teaching speech will be rigorous, precise and exact. Problem-solving focuses on standard procedures and clear ideas.

4. Pay attention to the correctness of thoughts and try to cultivate students' international perspective.

This course will make the students to understand the basic theories and methods of linear algebra, cultivate students’ scientific computing ability, improve students’ abstract logical thinking and reasoning ability, and lay the essential foundation for expanding the knowledge of mathematics and learning related course theories. It can further improve students’ mathematics quality and develop students’ exploration spirit and practical innovation ability.

Course Staff

Staff Member #1 Dr. Shuni Song

Song Suni, the member of the Mathematics Teaching Steering Committee of the Ministry of Education, Renowned Teachers in Liaoning Province Award. He is in charge of National Online First-class Course "Linear Algebra" and National Offline first-class Course "Advanced Mathematics". He is the team leader of Liaoning "University Mathematics Excellent Course team". 

Staff Member #2 Dr. Jingyi Liu

Jingyi Liu is an assistant professor at College of Sciences of Northeastern University. She has obtained her Ph.D. in Statistics from Northeastern University in 2019. Her research interests include statistical learning theory and applied numerical method. Until now, she has herself authored/co-authored over 10 peer-reviewed journal articles, one book chapters, and several referenced conference papers. She is a member of the University Mathematics Excellent Course Team of Liaoning Province. She has been engaged in the teaching of undergraduate and graduate mathematics basic courses and professional courses for many years.

Staff Member #3 Dr. Xue Zhang

Zhang Xue received her Ph. D. from Northeastern University in 2010. During the period from 2017 to 2018, she worked at York University in Canada as a postdoctoral fellow. Her research field is biological mathematics.

Staff Member #4 Dr. Datao Shi

In 2006, he began to work in the Department of Mathematics, School of Science, Northeastern University. Till now, he has taught such courses as Numerical Analysis, Advanced Mathematics and Linear Algebra. At present, he is mainly engaged in the research of numerical solution of partial differential equations and numerial algebra. He has participated in 4 projects of National Natural Science Foundation of China and published more than 10 papers. He has won the first prize of the Multi-media courseware competition of Northeastern University, the second prize of teaching achievement, the outstanding instructor of students' scientific and technological innovation activities, the outstanding class tutor, the advanced individual of San Yu Ren and so on.

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    Self Paced
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