线性代数 1

Linear Algebra, Part 1

This course is an introduction to linear algebra. You will discover the basic objects of linear algebra – how to compute with them, how they fit together theoretically, and how they can be used to solve real problems.

508 次查看
莱斯大学
edX
  • 完成时间大约为 8
  • 中级
  • 英语
注:因开课平台的各种因素变化,以上开课日期仅供参考

课程概况

Linear algebra is at the core of all of modern mathematics, and is used everywhere from statistics and data science, to economics, physics and electrical engineering.  However, learning the subject is not principally about acquiring computational ability, but is more a matter of fluency in its language and theory. 

In this course, we will start with systems of linear equations, and connect them to vectors and vector spaces, matrices, and linear transformations.  We will be emphasizing the vocabulary throughout, so that students become comfortable working with the different aspects.  

We will then introduce matrix and vector operations such as matrix multiplication and inverses, paying particular attention to their underlying purposes.  Students will learn not just how to calculate them, but also why they work the way that they do. 

We will discuss the key concepts of basis and dimension, which form the foundation for many of the more advanced concepts of linear algebra. 

The last chapter concerns inner products, which allow us to use linear algebra for approximating solutions; we will see how this allows for applications ranging from statistics and linear regression to digital audio.

This course is Part One of a two-part course. Part Two will cover topics such as determinants and eigenvectors.

预备知识

High school algebra. Some calculus is useful for certain examples or problems but is not strictly necessary.

千万首歌曲。全无广告干扰。
此外,您还能在所有设备上欣赏您的整个音乐资料库。免费畅听 3 个月,之后每月只需 ¥10.00。
Apple 广告
声明:MOOC中国十分重视知识产权问题,我们发布之课程均源自下列机构,版权均归其所有,本站仅作报道收录并尊重其著作权益。感谢他们对MOOC事业做出的贡献!
  • Coursera
  • edX
  • OpenLearning
  • FutureLearn
  • iversity
  • Udacity
  • NovoEd
  • Canvas
  • Open2Study
  • Google
  • ewant
  • FUN
  • IOC-Athlete-MOOC
  • World-Science-U
  • Codecademy
  • CourseSites
  • opencourseworld
  • ShareCourse
  • gacco
  • MiriadaX
  • JANUX
  • openhpi
  • Stanford-Open-Edx
  • 网易云课堂
  • 中国大学MOOC
  • 学堂在线
  • 顶你学堂
  • 华文慕课
  • 好大学在线CnMooc
  • (部分课程由Coursera、Udemy、Linkshare共同提供)

© 2008-2020 MOOC.CN 慕课改变你,你改变世界