Linear Algebra - Foundations to Frontiers

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9/10 stars
based on  140 reviews
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Cost FREE , Add a Verified Certificate for $50
Start Date Aug. 1, 2017

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Course Details

Cost

FREE,
Add a Verified Certificate for $50

Upcoming Schedule

  • Aug. 1, 2017

Course Provider

edX online courses
Harvard University, the Massachusetts Institute of Technology, and the University of California, Berkeley, are just some of the schools that you have at your fingertips with edX. Through massive open online courses (MOOCs) from the world's best universities, you can develop your knowledge in literature, math, history, food and nutrition, and more. These online classes are taught by highly-regarded experts in the field. If you take a class on computer science through Harvard, you may be tau...
Harvard University, the Massachusetts Institute of Technology, and the University of California, Berkeley, are just some of the schools that you have at your fingertips with edX. Through massive open online courses (MOOCs) from the world's best universities, you can develop your knowledge in literature, math, history, food and nutrition, and more. These online classes are taught by highly-regarded experts in the field. If you take a class on computer science through Harvard, you may be taught by David J. Malan, a senior lecturer on computer science at Harvard University for the School of Engineering and Applied Sciences. But there's not just one professor - you have access to the entire teaching staff, allowing you to receive feedback on assignments straight from the experts. Pursue a Verified Certificate to document your achievements and use your coursework for job and school applications, promotions, and more. EdX also works with top universities to conduct research, allowing them to learn more about learning. Using their findings, edX is able to provide students with the best and most effective courses, constantly enhancing the student experience.

Provider Subject Specialization
Sciences & Technology
Business & Management
15364 reviews

Course Description

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 assignme...

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!

Reviews 9/10 stars
140 Reviews for Linear Algebra - Foundations to Frontiers

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10/10 starsCompleted
2 years, 11 months ago
To former and future students looking to LAFF: Over at ulaff.net, Robert and Maggie just released all of the notes in a downloadable PDF with embedded hyperlinks to the videos. It's a whopping 900 pages of some of the best linear algebra instruction you will ever find, with accompanying videos, homeworks, exams, and notebooks. Best of all, it is available on a generous "pick your price" model ensuring everyone can have access to this great material regardless of income. It looks like the instructors have plans to update and refine the material as time progresses, and supporting them in that effort is a worthy cause. This material is so fundamental to many different areas that everyone should be able to LAFF with Robert and Maggie! To the course staff: Thanks so much for one of the most well done MOOCs I've ever taken!
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Tomasz Pankowski profile image
Tomasz Pankowski profile image
10/10 starsCompleted
  • 1 review
  • 1 completed
1 day, 11 hours ago
Great course difficult but very interesting. You will find here programing and normal mathematical exercises. Definitely worth effort and time. You will even get free matlab license.
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10/10 starsCompleted
6 days, 5 hours ago
This course is amazing and gives a gentle slope for a rather tough, foundational math subject. The enrichments at the end of each section are quite enjoyable. You also get a free license to Matlab for the duration of the course and get to learn Matlab. The learning is of a very active format wherein you watch a short video and answer some questions ... so it's quite engaging. Learning the proofs are incredibly satisfying as you actually understand why something is true as opposed to accepting something as being true. The little peek that they offer to the FLAME project at the University of Texas is astounding. Watching their code writing method was hugely inspiring for me.The instructors are incredibly humble and are not afraid to accept errors in the videos or sometimes in their calculations. This actually has the effect of giving the learner the confidence that if the instructor can make mistakes we can surely learn the material. S... This course is amazing and gives a gentle slope for a rather tough, foundational math subject. The enrichments at the end of each section are quite enjoyable. You also get a free license to Matlab for the duration of the course and get to learn Matlab. The learning is of a very active format wherein you watch a short video and answer some questions ... so it's quite engaging. Learning the proofs are incredibly satisfying as you actually understand why something is true as opposed to accepting something as being true. The little peek that they offer to the FLAME project at the University of Texas is astounding. Watching their code writing method was hugely inspiring for me.The instructors are incredibly humble and are not afraid to accept errors in the videos or sometimes in their calculations. This actually has the effect of giving the learner the confidence that if the instructor can make mistakes we can surely learn the material. Standardisation of the steps for matrix multiplications, finding solutions to systems of linear equations etc. and standardisation of variable naming conventions greatly aid the learning process by removing unnecessary decision making points which are often distractions. The mid-term and final exams are designed as excellent learning experiences rather than something that is made to judge you.
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10/10 starsCompleted
2 weeks ago
The course content was paced well. I like that the emphasis was on learning and not scoring and the students were trusted with the answers. I enjoyed the SPARKS programming interface. Would definitely recommend to anyone looking for thorough linear algebra course.
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10/10 starsCompleted
3 weeks ago
This course is absolutely amazing! It really helped me to review LA, which I've already completed as university course. I will definitely recommend LAFF to our junior students.
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10/10 starsCompleted
1 month ago
Outstanding course. I recommend it to anyone interested to develop a solid foundation in linear algebra. Robert and Maggie, a big THANK YOU for all your efforts to make this course available on edX.
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Rohit Beri profile image
Rohit Beri profile image
10/10 starsCompleted
  • 0 reviews
  • 0 completed
1 month, 1 week ago
Really a good course. Last I formally studied Matrix algebra was in high school 20 years ago. This course took me from the vaguely remembered high school algebra to sound fundamentals in Linear Algebra. Now planning to study the notes on Numerical Linear Algebra. Wish there was a proper course dealing with that. Robert and Maggie, thanks a lot!
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10/10 starsCompleted
1 month, 1 week ago
Very much enjoyed the course (eDX. Starts you from square one and guides you through the material logically and clearly. Instructors were highly competent and excited about material. Only complaint is the number of corrections that were made to videos after they were posted, but this didn't detract from the course much. Would definitely recommend to anyone interested in the subject.
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10/10 starsTaking Now
4 months, 1 week ago
This class is an astounding opportunity. The fact that simply anyone with an internet connection can study directly under two of the leading researchers in this field, who take an active interest in the forums, is mind-boggling. I know of nothing quite comparable. One of the beautiful things about online learning like this is that someone like me, who is not fully prepared for the material and may have to attend to other matters, is able to take as much time as necessary filling gaps as they come up and, if necessary, discontinue the work and pick it up again later when the opportunity arises. Thank you, Maggie and Robert. You are pedagogical titans--generous twin Promethii of online academia.
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10/10 starsCompleted
5 months, 1 week ago
I have taken this course before and have been interrupted by life as I was this time. I will take it one more times so I can cover all the topics. Definitely, a course and subject of great value.
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10/10 starsCompleted
5 months, 1 week ago
This is a good class for you to get familiar with linear algebra. The video and instruction notes are well prepared. I believe you will learn a lot from this class.
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10/10 starsCompleted
5 months, 1 week ago
I would like to thank professor Robert and all the staff for this incredible course. For providing us this kind of material and their knowledge. Thank you all. I'm seeking my master in mathematics, so I saw this course as an opportunity to enhance my knowledge and study harder to make my dream come true.
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10/10 starsCompleted
  • 1 review
  • 1 completed
5 months, 2 weeks ago
Excellent course with perfect delivery. The instructors lay a solid foundation of Linear Algebra, and each topic is made firm by plenty of both problems and programming exercises. The best parts are the enrichment sections where the topic under consideration if taken towards direct applicability in real world. Robert and Maggie, the creators of the course are always reply to our queries and and actually come across as our friends and teach us in similar way. Currently the mooc is offered in Matlab, but one can do it in Paython too. Thanks Robert and Maggie, and "LAFF Long and Prosper" I surely will LAFF-On Programming for Correctness, zafar
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Elglebakson Guei profile image
Elglebakson Guei profile image
10/10 starsCompleted
  • 1 review
  • 1 completed
5 months, 2 weeks ago
During the 12 weeks I learned a lot. The videos allowed a very good understanding of the courses. The homework were good but sometime difficult. No enough exercices in the videos for which can allow to do the homework. So much thanks to Robert van de Geijn and all instructor .
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Antonio Rodriguez profile image
Antonio Rodriguez profile image
10/10 starsCompleted
  • 1 review
  • 1 completed
5 months, 2 weeks ago
I enjoyed this course immensely! I will say that it accelerated quickly for the last 4 weeks or so, and some earlier things I sped through needed to be re-visited afterwards for a better foundation. However, I would have liked to see more demonstrations on how certain things work, and how they're used outside of the math department.
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10/10 starsCompleted
  • 1 review
  • 1 completed
5 months, 2 weeks ago
Brilliantly designed course. The exercises were structured in such a way that you learned a lot in reasonably small increments. More accurately, the exercises were designed in such a way that you discovered linear algebra for yourself. If only all MOOCs were designed like this course.
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10/10 starsCompleted
  • 1 review
  • 1 completed
5 months, 2 weeks ago
One of the best courses I've taken till now. Most of the lectures and notes are short, sweet and to the point, except some of the last weeks might have been including more practical examples, but again maybe that's just me. Since we've introduced a little bit of scripting here, I would personally include optional real world programming assignments at the end of each week.
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10/10 starsCompleted
  • 1 review
  • 1 completed
5 months, 2 weeks ago
Introductory course to Linear Algebra. I already took a class in linear algebra at university, covering more or less the same topics, but I found the approach of LAFF innovative, making me understand better basic stuff I just crammed in my mind during my previous course, plus some stuff I never had the chance to look at. I joined the course in order to have a quick refresher of the main topics of linear algebra, and I can say I am satisfied with the result.
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10/10 starsCompleted
5 months, 2 weeks ago
The instructor was very good and presented a structured approach to the material where each learning step was based on previous steps. This course is appropriate but will be tough for those without previous experience in linear algebra. I found it VERY helpful to watch the Khan Academy lectures on Linear Algebra at the same time I tool this class. Additionally, this class is relatively long for an online course (4 months) and will require your concentration - I wasn't able to take other online courses at the same time (excepting watching linear algebra videos on Khan academy). At completion there are still aspects of the course that I only understand theoretically but am unable to compute by hand.
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10/10 starsCompleted
5 months, 3 weeks ago
Very nice and interesting course. I had a lot of experience and fun with this course. My friends and I had some hot discussions about problems in course. Sometimes it was not easy to make exercises but now they done.
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Student

10/10 starsCompleted
5 months, 3 weeks ago
Great introductory course on linear algebra. Use of the "slide-and-dice" system, instead of loops and indices, made linear algebra infinitely more comprehensible! This system is used in advanced linear algebra, and so is not a toy system just for introductory linear algebra, and is well worth learning. The instructors provide links to many papers and books that use this system to reinforce this point. The homework and exams are designed for self-study rather than for assessment. Full course notes in PDF format with links to course videos on youtube is available from a website setup by the instructors! After this course there is still more linear algebra to be learned, to cover what a typical undergraduate student in science and engineering is expected to know. I plan to use Gilbert Strang's book and MIT OCW course, to learn the topics left out of this course. This course gives me a good foundation for this. I wholehe... Great introductory course on linear algebra. Use of the "slide-and-dice" system, instead of loops and indices, made linear algebra infinitely more comprehensible! This system is used in advanced linear algebra, and so is not a toy system just for introductory linear algebra, and is well worth learning. The instructors provide links to many papers and books that use this system to reinforce this point. The homework and exams are designed for self-study rather than for assessment. Full course notes in PDF format with links to course videos on youtube is available from a website setup by the instructors! After this course there is still more linear algebra to be learned, to cover what a typical undergraduate student in science and engineering is expected to know. I plan to use Gilbert Strang's book and MIT OCW course, to learn the topics left out of this course. This course gives me a good foundation for this. I wholeheartedly recommend this course to everyone: you will get to learn the "slice-and-dice" method even if you already know linear algebra. My heartfelt thanks to the instructors for putting in an unbelievable amount of work to deliver this course, and that for free too!
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10/10 starsCompleted
  • 26 reviews
  • 24 completed
6 months, 1 week ago
Definitely a 5 star course if others are . I have taken this course without the software part , and was able to fully follow the course teachings . I gained some great understanding that i had been longing for , through the course's Timmy-tools . So do not despair if you cannot run Matlab . To also learn software (algorithms) to aid mathematics , is an additional bonus this course has to offer , but no requirement for this course . Great course !
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Student

10/10 starsCompleted
4 months, 4 weeks ago
LAFF rekindled my love for math and is truly a model for how math should be taught, the structure of the course enables deep understanding and recognition of core topics as well as creating understanding that can be applied further. Robert and Maggie, thanks so much!
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2/10 starsCompleted
5 months, 1 week ago
Too much logic and I had trouble downloading the coding packages for Python. The videos were slow and technical and made the page load slowly. The problems need more words and pictures rather than purely algebraic ways of phrasing questions. Youtube's 3Blue1Brown Linear Algebra videos were better for conceptual understanding.
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10/10 starsCompleted
5 months, 1 week ago
Every thing is perfect. The teaching method and notes are excellent. The method to check the answers at the spot improve the capability and understanding of the topic. Thanks Saeed
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10/10 starsCompleted
5 months, 1 week ago
Very interesting content, but requires a strong mathematical background, especially if you wish to delve into the more complex areas. Robert does an excellent job walking through the concepts from basic to deeper ones. The evaluation could be made more challenging.
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10/10 starsCompleted
  • 2 reviews
  • 2 completed
5 months, 1 week ago
The instructors are great, the material is enough to get you up to speed but not that much for me to start losing motivation. The instructors are great, the videos tend to be straight to the point, the homeworks build a lot of intuition so I'd recommend *always* doing them. It's a great course overall. I was so happy with it I decided to opt for a certificate. It's my first MOOC certificate, yay!
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10/10 starsCompleted
5 months, 1 week ago
Instructors are seriously fantastic. In addition to informative, helpful and easy to understand, they also have excellent personalities. I also enjoyed that the course dabbles in to programming. I would highly recommend this course for anyone looking to learn linear algebra.
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Henry Harya profile image
Henry Harya profile image
8/10 starsCompleted
  • 5 reviews
  • 4 completed
5 months, 1 week ago
The lectures and reference material were excellent! It took a few weeks before it was clear what the purpose of some exercises were, like the programming exercises. There were some errors in the videos that they acknowledged and I hope they correct in future runs. Also, I would have preferred doing the course work in Python and hopefully that will be supported in the future as well.
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6/10 starsCompleted
5 months, 1 week ago
The course is excellent for anyone interested in engineering and/or applied maths, economics, numerical analysis, etc.... Its main focus is computation and porgramming. I also liked the way the professor always motivated the topics before discussing them. However, it is not very useful for someone interested in analytical linear algebra, pure math, and as like, which for a person like me, made a great part of the course very boring.
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Rankings are based on a provider's overall CourseTalk score, which takes into account both average rating and number of ratings. Stars round to the nearest half.