Linear Algebra - Foundations to Frontiers
Provided by:
Provided by:
Key Concepts
We've created a summary of key topics covered in this course to help you decide if it's the right one for you. Click individual badges to see more courses on the same topic.
Course Details
Cost
FREE,
Add a Verified Certificate for $50
Upcoming Schedule
- On demand
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
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!
Sort By
Student
8/10 starsCompleted
3 years, 5 months ago
This course provides a good introduction to linear algebra ideas and a nice foundation for future studies; however, someone who's interested in immediate application and a deeper understanding will need to take a more in-depth course. Either way, this is a good starting point and a very nicely organized class!
- 5 reviews
- 5 completed
3 years, 6 months ago
It's an o.k. course to me. 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.
One thing particularly annoying is that in home works, professor asks you to practise a lot slicing and dicing on matrix calculation. by 'a lot', I really meant 'a lot', it made me very sick.
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.
Student
8/10 starsCompleted
3 years, 6 months ago
The course is well organized but I think a week about theory of determinants it would be necessary and interesting as well together with a lesson about an explication on proof of the SVD: the course itself would be too long? Thinking about splitting in two could be a nice solution. Thank you very much for this beautiful learning experience!
student
10/10 starsCompleted
4 years, 1 month ago
I completed this course in the year 2014. It is an excellent program on Linear
Algebra which takes the student from the basics to fairly advanced stage with
detailed exposition on the theory, computation through Python and practical
applications. Although I graduated in Mathematics some 40 years back, I
benefited immensely by refreshing my knowledge and , true to the name of the
program, exploring new frontiers in the field of study. This program is
extremely beneficial both to students and others like me who want to refresh
and explore.
- 1 review
- 1 completed
4 years, 2 months ago
I took this course to build a solid understanding of Linear Algebra and this
course delivers on it. The beauty of this class is that it starts with the the
most basic definition, "What is a vector?" and "What is a linear
transformation?" and builds everything logically, step by step, on it. (In
this regard it is like Euclid's Elements). 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. (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...
I took this course to build a solid understanding of Linear Algebra and this
course delivers on it. The beauty of this class is that it starts with the the
most basic definition, "What is a vector?" and "What is a linear
transformation?" and builds everything logically, step by step, on it. (In
this regard it is like Euclid's Elements). 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. (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). It is a true labor of
love. 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.
Disclaimer: I already have a PhD so my experience with the class might or
might not be representative of experiences of other. I listened to most of the
video at 1.5x speed.
- 1 review
- 1 completed
4 years, 4 months ago
I previously took linear algebra as an undergrad, and I can honestly say I
learned more here than I did in the actual class. The videos were broken up so
it wasn't one giant boring lecture, but rather broken up via theory, practice,
examples, and applications.
They implemented iPython notebooks. That was an interesting development for a
MOOC. I enjoyed them as someone that has computer programming experience, but
they were very basic so great for either a rookie or someone who was rusty
with reading and writing code.
The pace was great, all of the assignments were due initially three weeks
after being released, but then a few weeks in the instructors made everything
due at the end of the MOOC.
The notes were my favorite part. They explained everything first hand before I
had to watch the video. And the examples were also in the notes, I rarely had
to write anything down myself besides doing the work for the exercises. I wish
they ...
I previously took linear algebra as an undergrad, and I can honestly say I
learned more here than I did in the actual class. The videos were broken up so
it wasn't one giant boring lecture, but rather broken up via theory, practice,
examples, and applications.
They implemented iPython notebooks. That was an interesting development for a
MOOC. I enjoyed them as someone that has computer programming experience, but
they were very basic so great for either a rookie or someone who was rusty
with reading and writing code.
The pace was great, all of the assignments were due initially three weeks
after being released, but then a few weeks in the instructors made everything
due at the end of the MOOC.
The notes were my favorite part. They explained everything first hand before I
had to watch the video. And the examples were also in the notes, I rarely had
to write anything down myself besides doing the work for the exercises. I wish
they had done more for the iPython notebooks in the notes though.
Overall, I hope the instructors do more mathematics courses like this. I would
love for them to do something similar for Calculus, Multivariable Calculus,
Differential Equations.
- 91 reviews
- 66 completed
3 years, 8 months ago
First iteration: Very thorough course with extensive work done to make the
programming to teach this viable. 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. This
professor really wants you to understand fundamental concepts rather than just
memorizing techniques that could be misapplied if one doesn't understand the
fundamentals. The professor goes out of his way to create explanations for the
quizzes/homework ... including recording short videos to explain it, posting
downloadable explanations, etc. This iteration of the course also includes a
license of Matlab for the duration of the course.
Student
10/10 starsTaking Now
4 years, 6 months ago
Yo soy Peruano e Ingeniero Mecánico Electricista y este es el tercer curso de
Algebra Lineal que he tomado. Definitivamente el mejor curso de Algebra Lineal
que he tomado, Maggie y Robert han creado un curso que parte de lo simple de
este mundo matemático y sin que caigas en cuenta te adentran en la complejidad
del Algebra Avanzada haciéndote creer que es la materia más fácil de este
mundo cuando en realidad estas resolviendo problemas que en otro curso y con
otra filosofía serían muy difíciles de analizar, mas aún cuando tienes que
aplicarlos a algoritmos de programación de alto nivel en Python. Gracias,
miles de gracias por tan buen trabajo a Maggie, Robert y la Universidad de
Austin. I am Peruvian and ElectroMechanical Engineer and this is the third
course I've taken in Linear Algebra. This is definitely the best course of
Linear Algebra I have taken, Maggie and Robert have created a course that part
of the simplicity of this math...
Yo soy Peruano e Ingeniero Mecánico Electricista y este es el tercer curso de
Algebra Lineal que he tomado. Definitivamente el mejor curso de Algebra Lineal
que he tomado, Maggie y Robert han creado un curso que parte de lo simple de
este mundo matemático y sin que caigas en cuenta te adentran en la complejidad
del Algebra Avanzada haciéndote creer que es la materia más fácil de este
mundo cuando en realidad estas resolviendo problemas que en otro curso y con
otra filosofía serían muy difíciles de analizar, mas aún cuando tienes que
aplicarlos a algoritmos de programación de alto nivel en Python. Gracias,
miles de gracias por tan buen trabajo a Maggie, Robert y la Universidad de
Austin. I am Peruvian and ElectroMechanical Engineer and this is the third
course I've taken in Linear Algebra. This is definitely the best course of
Linear Algebra I have taken, Maggie and Robert have created a course that part
of the simplicity of this mathematical world and without you fall in mind
bring you into the complexity of Advanced Algebra making to you believe that
it is the easiest area of this world when actually you are solving problems
that in another course and with other philosophy would be very difficult to
analyze, but even when you have to apply them to scheduling algorithms in
high-level Python. Thanks, many thanks for the good work Maggie, Robert and
Austin University.
- 1 review
- 1 completed
4 years, 5 months ago
This is really a great course. I knew linear algebra a bit but did not get
time to map it to programming. This course fulfilled that thirst. These are
the main points that I want to point out: 1\. Slicing and dicing matrices -
Viewing the matrix as a collection of vectors and applying vector operations
to matrices made matrix manipulation a lot easier. It not only helped to get
insight into the mathematics behind matrix manipulation but also changed the
way we write programs for matrix operations. 2\. Extended deadlines: Though at
the beginning the course had strict deadlines, realizing that it is delivered
online to people with various levels of commitment, deadlines were extended. I
think, this is important for such a MOOC, especially a MOOC related to
mathematics. This is because mathematics requires (at least for me) a lot of
time to understand. It is not the case that you view the videos, review some
solved problems, and then go...
This is really a great course. I knew linear algebra a bit but did not get
time to map it to programming. This course fulfilled that thirst. These are
the main points that I want to point out: 1\. Slicing and dicing matrices -
Viewing the matrix as a collection of vectors and applying vector operations
to matrices made matrix manipulation a lot easier. It not only helped to get
insight into the mathematics behind matrix manipulation but also changed the
way we write programs for matrix operations. 2\. Extended deadlines: Though at
the beginning the course had strict deadlines, realizing that it is delivered
online to people with various levels of commitment, deadlines were extended. I
think, this is important for such a MOOC, especially a MOOC related to
mathematics. This is because mathematics requires (at least for me) a lot of
time to understand. It is not the case that you view the videos, review some
solved problems, and then go and do the homework. What I found important while
doing this course is, if you understand the concept well and if you are able
to get insight into it, then it is very easy to solve any problem based upon
that topic. 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. It also makes programming
easier. 3\. The FLAME library: The algorithms that were discussed in the
course helped me to map theory to practice. The best part I liked about the
FLAME library is - you have to focus only on the problem at hand i.e. what you
want to actually do. Though I never used any math library until now, I think
FLAME notation is a revolutionary approach for solving problems related to
linear algebra. In short, what I think is, though there are some issues with
the course, the content and the approach with which the course is delivered
largely outweigh them. ...will be looking forward for other such great courses
from Prof. Robert and Prof. Maggie. Thanks to both professors and their team.
student
10/10 starsCompleted
4 years, 5 months ago
This course operates at three levels, I think. First, it helps you get some
important principles around computational science and why efficient algorithms
are fundamental to computation. Second, it gives you the rationale,
foundations, and logic about the principles of matrix manipulation. And third,
certainly not least, you get to learn the mathematics and specific practical
skills to work with matrices and linear algebra. Having said all of that, I
suggest that to get maximum benefit you a) do allocate the 8 hours per week,
b) use this time to practice problems and review as you go, and c) delve into
the enrichment problems, and they are where the gold is. Having said all of
that, it is a course I will personally go back and review when I have more
time, and that has additionally inspired further questions. While I have not
done a math course of this type for 30 years, and then at a similar level,
Robert and Maggie (you do feel you...
This course operates at three levels, I think. First, it helps you get some
important principles around computational science and why efficient algorithms
are fundamental to computation. Second, it gives you the rationale,
foundations, and logic about the principles of matrix manipulation. And third,
certainly not least, you get to learn the mathematics and specific practical
skills to work with matrices and linear algebra. Having said all of that, I
suggest that to get maximum benefit you a) do allocate the 8 hours per week,
b) use this time to practice problems and review as you go, and c) delve into
the enrichment problems, and they are where the gold is. Having said all of
that, it is a course I will personally go back and review when I have more
time, and that has additionally inspired further questions. While I have not
done a math course of this type for 30 years, and then at a similar level,
Robert and Maggie (you do feel you know them at the end!) have excelled in
providing a learning standard for this area and level and fulfilling most or
all of the likely student needs of someone doing this course. In short, it
made sense, is was achievable and it assisted in understanding the application
of linear algebra to the world around me.
- 116 reviews
- 107 completed
4 years, 5 months ago
Linear Algebra - Foundations to Frontiers is an introductory linear algebra
course that teaches linear algebra in the context of computing. If you don't
have any familiarity with programming or python, the computing component is
going to be hard to follow. You can, however, skip all of the programming
parts and just go through the lecture videos and quizzes. Topics include
vectors, linear transformations, matrix vector operations, matrix
multiplication and inversion, vector spaces, orthogonal projection and bases
and eigenvalues and eigenvectors. 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 al...
Linear Algebra - Foundations to Frontiers is an introductory linear algebra
course that teaches linear algebra in the context of computing. If you don't
have any familiarity with programming or python, the computing component is
going to be hard to follow. You can, however, skip all of the programming
parts and just go through the lecture videos and quizzes. Topics include
vectors, linear transformations, matrix vector operations, matrix
multiplication and inversion, vector spaces, orthogonal projection and bases
and eigenvalues and eigenvectors. 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. If I were to judge this course solely on the amount of
content and quality of exercises, it would be 5/5. That said, I didn’t find
the instructor engaging on a human level. Math can be boring; instructors that
are excited about the topics they teach can go a long way toward mitigating
the dryness. The instructor was robotic in his presentation and I often found
the lectures hard to follow. 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. I
came out of this course feeling like I didn’t learn as much as I could have
because the material is not always presented in a way that is easy to follow
and my interest waned from time to time. LAFF provides everything you need to
build a solid foundation in linear algebra—if you are able to remain attentive
despite the dry presentation.
student
10/10 starsCompleted
4 years, 6 months ago
My lack of linear algebra was beginning to show in my stat classes. This class
has been a lot of work, but was just what I needed. It can be done as a first
class in linear algebra, but I wouldn't try it as such without some
familiarity with programming.
- 2 reviews
- 2 completed
4 years, 5 months ago
The most fun course I've ever completed. 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.
student
10/10 starsCompleted
4 years, 5 months ago
I am 75, and a retired professor. I did my work every week, and enjoyed every
moment of it. My hope had been to see what a good MOOC course can be and I
found out! Prof Geijn and Dr Myers did right to place emphasis on learning,
being generous to let us see the expected answers any time. Several times, I
was able to understand the math better because the right answer was available
to figure out my mistakes. இந்த கோர்ஸை நடத்தினது உங்களுடைய பெரிய சாதனை! முதல்
க்ளாஸ்! எங்களுடைய நன்றி! SRam
student
10/10 starsCompleted
4 years, 5 months ago
Absolutely fantastic course. Aside from exploring standard linear algebra,
this course brought out the computational perspective, and most special of
all, a window into a cutting edge research programme, and what looks to me to
be a new paradigm in the field. In addition to the uniqueness of the material,
Robert, Maggie and the staff were endlessly enthusiastic and helpful. I can't
imagine the course being nearly as successful without their labour being above
and beyond the call of duty. Many, many thanks from this student.
student
10/10 starsCompleted
4 years, 5 months ago
This has been a wonderful introductory course on Linear Algebra. Although by
introductory I do not mean basic. Robert and Maggie really make an effort to
show you real applications of Linear Algebra. Also, I quite liked the rigour
put on showing theorems with proofs which was solidly backed up by more
practical numerical and algorithmic calculation in python. Personally, I think
I am a really visual learner, so I found particularly interesting how
lecturers made an effort to geometrically show how some of the more abstract
concepts work. All in all, you cannot go wrong taking this course. Thank you
Robert and Maggie!
student
10/10 starsCompleted
4 years, 5 months ago
Huge Effort by the professors Robert and Maggie resulted in one of the best
MOOCs on edx or Coursera. For me the best part of this course is the emphasis
on learning above testing. All answers to everything in the course were
provided and this helped me immensely. I learned a ton. I wish more MOOC
professors would have this approach. Here's hoping for a part two of this
course.
student
10/10 starsCompleted
4 years, 5 months ago
Thank you Robert and Maggie. That was a great job. I learned this course using
your experence. Slicing and Dicing method is a great approach that helps me to
see any matrix as a collection of vectors. One other name which fits this
course is "Linear Algeblar made easy."
student
6/10 starsCompleted
4 years, 6 months ago
Although this course was UTAustin's first try at this MOOC, I expected better
quality. The material wasn't made in advance, which left the instructors
playing "catchup" the whole time. Without much time on their hands, the
quality was greatly diminished. For instance, the transcripts and videos were
often mismatched so I was seeing transcripts from week 1 on videos from week
12! The format of the lectures was basically the instructor drawing on
slideshows (which contained many mistakes and were hard to understand). They
contained 2D visuals which were helpful and 3D visuals containing up to 10
vectors which were impossible to decipher. Certificates from this course are
completely meaningless because not only do they give you the whole course to
complete assignments (exams included), but they even gave you an infinite
number of submissions for each problem (exams included), they also let you see
the answers at anytime and answer the q...
Although this course was UTAustin's first try at this MOOC, I expected better
quality. The material wasn't made in advance, which left the instructors
playing "catchup" the whole time. Without much time on their hands, the
quality was greatly diminished. For instance, the transcripts and videos were
often mismatched so I was seeing transcripts from week 1 on videos from week
12! The format of the lectures was basically the instructor drawing on
slideshows (which contained many mistakes and were hard to understand). They
contained 2D visuals which were helpful and 3D visuals containing up to 10
vectors which were impossible to decipher. Certificates from this course are
completely meaningless because not only do they give you the whole course to
complete assignments (exams included), but they even gave you an infinite
number of submissions for each problem (exams included), they also let you see
the answers at anytime and answer the questions after viewing the answers
(exams included)! So anyone can 100% the course without learning a single bit
of linear algebra. In the introductory video they say: "In this course you
will learn all the standard topics in an undergraduate linear algebra course."
At the end of the course, they wrote: "Twelve weeks is not enough time to
cover all topics." No surprize when they spent the first 5 weeks covering
matrix-matrix multiplication! They LAFF software worked fine for the first 7
weeks or so but after that, I was unable to access any of the software past
week one! I did learn some linear algebra, but the quality of the course
severely hampered my ability to learn.
student
5/10 starsCompleted
4 years, 6 months ago
The course covers a lot of algorithms for vector and matrix manipulation which
are written in Python. My count is close to 50 of such exercises.
Unfortunately that did not leave enough time to cover Singular Value
Decomposition or Eigenvalues and Eigenvectors in satisfying detail. And they
skipped Principal Component Analysis entirely. Additionally, the course could
have done a much better job of connecting the material to the real world. I do
not know when it is appropriate to use many of the techniques that were
covered. What should I look for to realize, "Hey, I know how to solve this."
More quick videos showing demos would have been better.
student
10/10 starsCompleted
4 years, 6 months ago
A difficult course, because of the subject. But very well explained by Maggie
Myers and Robert van de Geijn. As a programmer, I think, in particular, the
explanation of the algorithm and the flame notation are brilliant.
student
10/10 starsCompleted
4 years, 6 months ago
This is not the usual undergraduate linear algebra course and is not one that
I would recommend as a first course in linear algebra. Much of the course is
devoted to teaching about using “slicing and dicing” as a method for
efficiently programming algorithms in linear algebra. This I found fascinating
but I don’t think I could have handled if I had not already been familiar with
most of the material. On the plus side, the videos were excellent, the
explanations were detailed and clear. Also help was readily available and
Professor van de Geijn himself promptly answered almost all questions that
were posted. I don’t know how he and his team kept up with all the work that
was required to produce and run this course. I learned a great deal by working
through the course. I thank the team for their hours of hard work and I thank
edx for making the course possible. bil bonnice
student
2/10 starsCompleted
4 years, 6 months ago
Very disappointed in the course. The course was taught backward and at ver
uneven levels. On some levels it is like a freshman high school course, on
others it is like 2nd year computer science. The course is very poor on
applications (almost none), very poor on concepts (general vector spaces,
subspaces, basis etc.) It spends way too much time on computational efficiency
and elimination etc. The coding the Matrix course on Coursera platform by
Brown University is a much more enjoyable Linear Algebra Course
student
9/10 starsCompleted
4 years, 6 months ago
If you wish to learn Linear Algebra either as a refresher or as a first time
learner of the subject, you cannot do better than take this course. The effort
put into explaining the subject matter clearly and in multiple different ways
by Robert and Maggie is excellent and truly enhances learning and a grasp of
the material. The enrichment modules point to additional relevant topics for
the motivated student. I commend everyone involved in producing this course
and HIGHLY RECOMMEND IT. KUDOS to ALL and THANKS EdX!
student
10/10 starsCompleted
4 years, 6 months ago
This has been my first full linear algebra course. At the same time I have
been taking several courses which have directly applied Linear Algebra. Robert
and Maggie really break down the material to make it simple and build it back
up again. Without this course, I would have been very clueless in my other
classes. Thank you!
Student
9/10 starsTaking Now
4 years, 6 months ago
I wanted to redo some learning about this topic because it was 50 years ago I
did have Linear Algebra at Free University Amsterdam (when I was 17 or 18
years old). Lots of the stuff was somewhere still present but not very related
and clear. This course was very good in explaining the stuff. Giving newer and
better methods to do things and solve problems. With very much students, and
so questioners, it was remarkable how quick questions were answered even by
both teachers themselves. Also there were quick modifications of the text when
someone noticed a mistake (which can be easily be overseen because of the lots
of work for preparing such a course for the first time with too little time).
Thanks for offering the opportunity to learn more about this topic.
student
10/10 starsCompleted
4 years, 5 months ago
Thanks Robert and Maggie. It was an elucidating experience following your
course.I hope you will be able to pursue your vision of the subject. Now
something in my 'tribal' lang: Obilo zdravja in osebne sreče vama želim.
student
10/10 starsCompleted
4 years, 5 months ago
This is a great course that makes linear algebra easy and comprehensible. It
goes from the very basics to complex ideas without you noticing. Although it
runs for a few months there is plenty of time to submit the exercises, midterm
and final exam. It was definitely worth sticking to it even though I felt lost
at times. Robert and Maggie are excellent guides and provide lots of examples
and different ways to approach the subject. I'm looking forward to the next
one!
student
10/10 starsCompleted
4 years, 5 months ago
Great work Robert and Maggie. I found this course very useful in setting the
grounding well. The aspect I liked was the ability to show insights at each
level which one would not typically get from reading a text book.