Linear Algebra - Foundations to Frontiers
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.
To see what former learners have to say about the course, read reviews on coursetalk.
We invite you to LAFF with us!
What you'll learn
- Connections between linear transformations, matrices, and systems of linear equations
- Partitioned matrices and characteristics of special matrices
- Algorithms for matrix computations and solving systems of equations
- Vector spaces, subspaces, and characterizations of linear independence
- Orthogonality, linear least-squares, eigenvalues and eigenvectors
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Rating | 4.6★ based on 46 ratings |
---|---|
Length | 15 weeks |
Effort | 15 weeks, 6–10 hours per week |
Starts | On Demand (Start anytime) |
Cost | $99 |
From | The University of Texas at Austin, UTAustinX via edX |
Instructors | Maggie Myers, Robert van de Geijn |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Programming Mathematics |
Tags | Computer Science Math |
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What people are saying
linear algebra
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.
I have been trying to dedicate sometime for Linear Algebra for a long time now, but only with the help of edX and the professors of this course that I only had the chance to schedule my time and efforts around this course.
Regards and Best Wishes, Trevor Farley (Australia) Linear Algebra - Foundations to Frontiers is an introductory linear algebra course that teaches linear algebra in the context of computing.
When I decided to watch some of Salman Khan’s linear algebra videos on Khan Academy to review for the final, I found his presentation of the same concepts more engaging and easier to understand.
LAFF provides everything you need to build a solid foundation in linear algebra—if you are able to remain attentive despite the dry presentation.
The staff are really helpful If this is offered again please don't miss it if you did not have a formal treatment of linear algebra.
I knew linear algebra a bit but did not get time to map it to programming.
Though I never used any math library until now, I think FLAME notation is a revolutionary approach for solving problems related to linear algebra.
I previously took linear algebra as an undergrad, and I can honestly say I learned more here than I did in the actual class.
I took this course to build a solid understanding of Linear Algebra and this course delivers on it.
It is this spirit/way of teaching of the course that makes this course so profound in its impact in giving the right understanding of linear algebra.
If you ever want to improve this class add more real world examples of application of linear algebra, particularly for the second part of the course.
This is an exceptionally good foundation course to linear algebra.
there is immediate gratification on each step of the way and the instructors hand - hold you on the journey to learn linear algebra.
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slicing and dicing
Thanks to Dr. Maggie Myers and professor Robert van de Geijn for exposing, slicing and dicing the beauty of Linear Algebra.
Slicing and dicing matrices - Viewing the matrix as a collection of vectors and applying vector operations to matrices made matrix manipulation a lot easier.
If you want a soft start, it's not a bad course, and I hope the slicing and dicing practice gets reduced in the future offerings.
Another unique part of the concept mainly emphasized by Robert is "understanding" matrix and vector by slicing and dicing - which gives an extra edge in visualization, why is happening and why.
creating various algorithms using slicing and dicing and evaluating them with the regards to flops and memops etc.
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robert and maggie
Having taken about 10 MOOCs, I was really impressed with how much time Robert and Maggie spent answering questions and helping out on the forums.
Robert and Maggie, thanks a lot!
On a humorous note, in this family MOOC, Robert and Maggie 1) created awesome lecture videos with perfect lengths, 2) set up very intuitive patterns for problem sets, 3) tirelessly and patiently responded to each post (never seen on any other MOOC), and 4) on the top made learning fun by sometimes dropping witty statements in between.
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amount of effort
It is clear that a tremendous amount of effort went into producing the materials for this course.
(For example, now I know why matrix multiplication is defined the way it is defined) I did the class by downloading the pdf from http://www.ulaff.net/ and read the book while doing the videos embedded in the pdf To the instructors: I am thankful to the instructors for the phenomenal amount of effort they put in preparing the book, embedding the videos, back link from answers to the text, and preparing all those slides (they are all made in latex, I guess).
hard to follow
If you don't have any familiarity with programming or python, the computing component is going to be hard to follow.
The instructor was robotic in his presentation and I often found the lectures hard to follow.
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very well
I only had time to skim this first iteration of the course (just enough to meet the low requirements for a certificate ) Second iteration: I'm taking this again to learn this material very well as other courses I've taken don't cover this material nearly as deeply.
The lectures are very well put together, they are usually short and interspersed with homework questions to check you understood the video.
The course has been developed with a lot effort and research, it starts with simple intuition and builds up the concept very well and every exercise has been chosen for a specific purpose - to introduce a concept in the latter stage.
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more advanced
The content is focusing on simpler side of Linear Algebra, but I would love to learn more advanced content such as SVD -- so the word 'Frontiers' isn't well represented.
Each week has an enrichment section to put the new knowledge in context and offer some more advanced applications.
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linear transformations
Topics include vectors, linear transformations, matrix vector operations, matrix multiplication and inversion, vector spaces, orthogonal projection and bases and eigenvalues and eigenvectors.
For example, if you are able to understand linear transformations, then it is very easy to understand linear dependence and independence which in turn makes it easy to understand orthogonality.
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programming exercises
It took a few weeks before it was clear what the purpose of some exercises were, like the programming exercises.
prof robert
Prof Robert's videos are comfortable and on point.
I have taken many courses where a professor is high strung and rambles on and on trying to teach a concept; Prof Robert is an example of someone who knows the subject and is able to teach the subject effortlessly.
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Rating | 4.6★ based on 46 ratings |
---|---|
Length | 15 weeks |
Effort | 15 weeks, 6–10 hours per week |
Starts | On Demand (Start anytime) |
Cost | $99 |
From | The University of Texas at Austin, UTAustinX via edX |
Instructors | Maggie Myers, Robert van de Geijn |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Programming Mathematics |
Tags | Computer Science Math |
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