Linear Algebra
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Overview
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spContent="Linear Algebra" is a core curriculum at Beijing University of Aeronautics and Astronautics, a key model course for research-oriented teaching and demonstration, and it is also a “11th Five-Year Plan” national quality course. The linear algebra MOOC course is built by a teaching team composed of first-line teachers. Professor Li Hongyi, a famous teacher of Beihang University, serves as the main lecturer. She is kindly praised by the students as a "five-star teacher". Let us follow the teacher Li to appreciate the "linear" The charm of algebra.
—— Instructors
About this course

Linear algebra is a public basic course for many majors such as science, engineering, economics and management, and it provides essential mathematical tools for various fields of modern society. Linear algebra is a course that discusses the classic theory of linear relationships in finite dimensional spaces. It has strong abstraction and logic, and is an important basic theory course for undergraduates of science and engineering universities. This course is not only a mathematical foundation that students must master, but also has a very wide range of applications in various fields of modern science and technology.

With the rapid development of big data, cloud computing, Internet of Things, artificial intelligence and other information technologies, modern society is entering the data era in an all-round way. Matrix algebra is the basic language of the data era and has been widely used in various fields of modern science and technology. Many practical problems can be discretized and linearized, and thus transformed into linear algebra problems. For example, the design of network search engines, aircraft design, big data processing, computer image processing, 3D animation, virtual reality, etc., everywhere reflect the perfect fusion of algebra, geometry and the real world.

This course includes six parts: determinant, matrix, linear correlation of vector groups, linear equation system, similar transformation of matrix, quadratic form.


Objectives

Through the study of this course, the following teaching objectives should be achieved:

1. In view of the fact that this course is relatively abstract for beginners, it introduces relevant concepts and deepens the understanding of relevant theorems through more practical examples and intuitive geometric figures, combined with spatial analytical geometry.

2. Through the proof and application of relevant theorems, gradually cultivate students' abstract thinking ability and rigorous reasoning ability, as well as the ability to use linear algebra to analyze basic problems.

3. To enable students to master the basic theories and research methods of linear algebra, and to use them more flexibly.

4. Cultivate students' ability of abstract thinking and logical thinking, use the basic theory of linear algebra to analyze problems, and lay a good foundation for students to further study other mathematical courses and professional courses.

Syllabus
Prerequisites

High school math algebra related knowledge

CertificatesRequirements

为积极响应国家低碳环保政策, 2021年秋季学期开始,中国大学MOOC平台将取消纸质版的认证证书,仅提供电子版的认证证书服务,证书申请方式和流程不变。

 

电子版认证证书支持查询验证,可通过扫描证书上的二维码进行有效性查询,或者访问 https://www.icourse163.org/verify,通过证书编号进行查询。学生可在“个人中心-证书-查看证书”页面自行下载、打印电子版认证证书。

 

完成课程教学内容学习和考核,成绩达到课程考核标准的学生(每门课程的考核标准不同,详见课程内的评分标准),具备申请认证证书资格,可在证书申请开放期间(以申请页面显示的时间为准),完成在线付费申请。

 

认证证书申请注意事项:

1. 根据国家相关法律法规要求,认证证书申请时要求进行实名认证,请保证所提交的实名认证信息真实完整有效。

2. 完成实名认证并支付后,系统将自动生成并发送电子版认证证书。电子版认证证书生成后不支持退费。


References

"Linear Algebra", published by Beijing University of Aeronautics and Astronautics

Author: Gao Zongsheng, Zhou Meng, Li Hongyi

"Linear Algebra", Higher Education Press

Author: Li Shangzhi