subject
Intro

edX: Linear Algebra - Foundations to Frontiers

 with  Robert van de Geijn and Maggie Myers
Class Central Course Rank
#3 in Subjects > Mathematics > Algebra & Geometry

Linear Algebra: 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.

We invite you to LAFF with us!

Syllabus

Week 0 Get ready, set, go!
Week 1 Vectors in Linear Algebra
Week 2 Linear Transformations and Matrices
Week 3 Matrix-Vector Operations
Week 4 From Matrix-Vector Multiplication to Matrix-Matrix Multiplication
Exam 1
Week 5
Matrix-Matrix Multiplication
Week 6 Gaussian Elimination
Week 7 More Gaussian Elimination and Matrix Inversion
Week 8 More on Matrix Inversion
Exam 2
Week 9 Vector Spaces
Week 10 Vector Spaces, Orthogonality, and Linear Least Squares
Week 11 Orthogonal Projection and Low Rank Approximation
Week 12 Eigenvalues and Eigenvectors
Final
9 Student
reviews
Cost Free Online Course
Pace Self Paced
Provider edX
Language English
Certificates $50 Certificate Available
Hours 8 hours a week
Calendar 16 weeks long
+ Add to My Courses
Learn Digital Marketing udacity.com

Gain real-world experience running live campaigns as you learn from top experts.

Advertisement
Become a Data Scientist datacamp.com

Learn Python & R at your own pace. Start now for free!

Advertisement
FAQ View All
What are MOOCs?
MOOCs stand for Massive Open Online Courses. These are free online courses from universities around the world (eg. Stanford Harvard MIT) offered to anyone with an internet connection.
How do I register?
To register for a course, click on "Go to Class" button on the course page. This will take you to the providers website where you can register for the course.
How do these MOOCs or free online courses work?
MOOCs are designed for an online audience, teaching primarily through short (5-20 min.) pre recorded video lectures, that you watch on weekly schedule when convenient for you.  They also have student discussion forums, homework/assignments, and online quizzes or exams.

9 reviews for edX's Linear Algebra - Foundations to Frontiers

Write a review
14 out of 14 people found the following review useful
3 years ago
profile picture
Life Is Study completed this course, spending 7 hours a week on it.
LAFF requires a major time commitment. Unless you are already familiar with some of the topics, you'll probably spend 5-8 hours a week. It is clear that a tremendous amount of effort went into producing the materials for this course. There are multiple homework exercises after almost every video and most weeks have one Read More
LAFF requires a major time commitment. Unless you are already familiar with some of the topics, you'll probably spend 5-8 hours a week. It is clear that a tremendous amount of effort went into producing the materials for this course. There are multiple homework exercises after almost every video and most weeks have one or more programming exercises where you implement and visualize linear algebra functions using tools the instructors have created. The instructors were also active on the forums, which was nice to see.
Was this review helpful to you? YES | NO
9 months ago
Gershom Tripp completed this course.
Was this review helpful to you? YES | NO
0 out of 1 people found the following review useful
2 years ago
profile picture
Stojan Karlusic is taking this course right now.
Was this review helpful to you? YES | NO
0 out of 1 people found the following review useful
2 years ago
Gaetano Pagani completed this course.
Was this review helpful to you? YES | NO
a year ago
Charles Starbuck completed this course.
Was this review helpful to you? YES | NO
0 out of 1 people found the following review useful
2 years ago
Mark Henry Butler completed this course.
Was this review helpful to you? YES | NO
2 years ago
Catherine Lee is taking this course right now.
Was this review helpful to you? YES | NO
12 months ago
Elia Schelokov completed this course.
Was this review helpful to you? YES | NO
0 out of 2 people found the following review useful
a year ago
Mauro Sgarzi audited this course.
Was this review helpful to you? YES | NO

Class Central

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free