Linear Algebra - Foundations to Frontiers

开始时间: 待定 持续时间: 15 weeks

所在平台: edX

课程类别: 计算机科学

大学或机构: UTAustinX

授课老师: Robert van de Geijn Maggie Myers



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Foundations to Frontiers (LAFF) is packed full of challenging, rewarding material that is essential for mathematicians, engineers, scientists, and anyone working with large datasets. Students appreciate our unique approach to teaching linear algebra because:

  • It’s visual.
  • It connects hand calculations, mathematical abstractions, and computer programming.
  • It illustrates the development of mathematical theory.
  • It’s applicable.

In this course, you will learn all the standard topics that are taught in typical undergraduate linear algebra courses all over the world, but using our unique method, you'll also get more! LAFF was developed following the syllabus of an introductory linear algebra course at The University of Texas at Austin taught by Professor Robert van de Geijn, an expert on high performance linear algebra libraries. Through short videos, exercises, visualizations, and programming assignments, you will study Vector and Matrix Operations, Linear Transformations, Solving Systems of Equations, Vector Spaces, Linear Least-Squares, and Eigenvalues and Eigenvectors. In addition, you will get a glimpse of cutting edge research on the development of linear algebra libraries, which are used throughout computational science.

MATLAB licenses will be made available to the participants free of charge for the duration of the course.

This summer version of the course will be released at an accelerated pace. Each of the three releases will consist of four ”Weeks” plus an exam . There will be suggested due dates, but only the end of the course is a true deadline.

We invite you to LAFF with us!



What is the estimated effort for the course? 

About 8 hrs/week.

How much does it cost to take the course?

You can choose! Auditing the course is free.  If you want to challenge yourself by earning a Verified Certificate of Achievement, the contributions start at $50.

Will the text for the videos be available?

Yes. All of our videos will have transcripts synced to the videos.

Are notes available for download?

PDF versions of our notes will be available for free download from the edX platform during the course.  Compiled notes are currently available at

Do I need to watch the videos live?

No. You watch the videos at your leisure.

Can I contact the Instructor or Teaching Assistants?

Yes, but not directly. The discussion forums are the appropriate venue for questions about the course. The instructors will monitor the discussion forums and try to respond to the most important questions; in many cases response from other students and peers will be adequate and faster.

Is this course related to a campus course of The University of Texas at Austin?

Yes. This course corresponds to the Division of Statistics and Scientific Computing titled “SDS329C: Practical Linear Algebra”, one option for satisfying the linear algebra requirement for the undergraduate degree in computer science.

Is there a certificate available for completion of this course?

Online learners who successfully complete LAFF can obtain an edX certificate. This certificate indicates that you have successfully completed the course, but does not include a grade.

Must I work every problem correctly to receive the certificate?

No, you are neither required nor expected to complete every problem.

What textbook do I need for the course?

There is no textbook. PDF versions of our notes will be available for free download from the edX platform during the course. Compiled notes are currently available at

What are the principles by which assignment due dates are established?

There is a window of 19 days between the material release and the due date for the homework of that week. While we encourage you to complete a week’s work before the launch of the next week, we realize that life sometimes gets in the way so we have established a flexible cushion. Please don’t procrastinate. The course closes 25 May 2015. This is to give you nineteen days from the release of the final to complete the course.

Are there any special system requirements?

You may need at least 768MB of RAM memory and 2-4GB of free hard drive space. You should be able to successfully access the course using Chrome and Firefox.




  • The connection between linear transformations, matrices, and systems of linear equations
  • Partitioning methods and special characteristics of triangular, symmetric, diagonal, and invertible matrices
  • A variety of algorithms for matrix and vector operations and for solving systems of equations
  • Vector spaces, subspaces, and various characterizations of linear independence
  • Orthogonality, linear least-squares, projections, bases, and low rank approximations
  • Eigenvalues and eigenvectors
  • How to create a small library of basic linear algebra functions





Learn the mathematics behind linear algebra and link it to matrix software development.


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