Overall an excellent introduction. The Jupyter notebooks are a great format for these sorts of demonstrations. I do feel that the Finite/Spectral element segments would be more clear if they explained the mathematical derivations in more detail.

It was a very interesting class on numerical methods. I think it can be improved if homework assignment were given to help reinforce the lectures. The material was taught in a logical order and I enjoyed the overview of each method.

It's a nice course for someone who don't have a previous background about numerical methods, but there should be another course in which we tackle those concepts in more details because I felt that I lost in the mathematics.

As someone who had prior but not so strong introduction to numerical methods, this course helped me bridge the gap between theory and implementation in code. Personally, I think the programming exercises are too few.

I liked how the course was structured and well curated. However I feel it can be improved with more intuitive explanations of the numerous mathematical concepts introduced.

Great experience. Really came to know about the theory of simulation techniques coupled with the introductory knowledge of python language.

A nice course for learning numerical methods. Though it requires a little advanced calculus but python codes are clear and understandable.

It was a great course. I think you should had included the lambda parameter into the elastic wave propagation.

Excellence course delivery with practical applications.

Great, learner-friendly introduction to the subject

genial

some parts of the courses should be broken down into smaller steps or at least add links to a pdf document where the demonstration /solution is broken down into easy-to-follow steps. so videos had mistakes that were corrected after they were played, I found this distracting, you could just redo the video or edit it on the spot rather than later.

I liked the tone and clarity of Heiner explanations, I loved the visual interpretations of the mathematical concepts. I can see that there was much more knowledge he could deliver which was outside of the scope of this course. and I think he should, the beauty of online courses is that it could branches to as much fundamental concepts as the leaner is willing to take.

Good Introduction to some of the more popular numerical methods used in Computational Science and Engineering. It shouldn't have "Practical" in the title because these are 1-D toy problems and you don't get involved in coding yourself although you are free to change and play around with his code. It doesn't build your intuition of how to implement Numerical Methods in computer programs efficiently. This course is good for those looking for an Introduction to the Numerical Methods listed: FD, FEM, Pseudo-Spectral, Spectral-Element Method. It is not suitable for those who want to learn how to program AS WELL.

The presentation skills are superb, but that doesn't mean that the course will be easier to understand. I think there should be example problems to the algorithm that we study. For example, in week two, while explaining tailor series, an example of cos(x) was given, in later weeks, such examples were not given; it was just like derive the formula and go to python without an example such as the one I discussed.