This fifth unit is highly original! I loved the "digital calculus" part.

An introduction to numerical analysis was exactly what I need.

It was really wonderful course. Everything was excellent.

A course from the future of education!

I would highly suggest trying it out!

professor's explanation is the best.

So helpful and makes math beautiful

Best calculus course ever.

A good intro to calculus

thank you very much

Difficult course!

Excellent course

Great course.

Amazing!

great!

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I took the discrete calculus part of the course (part 5 of 5) individually of the rest and the teaching is fine with examples for any concept introduced and links between the unfamiliar discrete calculus and ordinary single variable calculus are made all the time. However, I feel like the course isn't so well named as there is only a week of developing the calculus of sequences and then it goes to standard analysis content - I came for the new content only which was a little disappointing. I will pursue it in the future but there wasn't really any suggestions for further study which I found either. The challenge exercises were great for developing on the subject like with the product rule but there isn't much supporting material for the challenge homework like why the product rule formula is asymmetric.

I feel like the end part of the course should be the discrete calculus exam rather than the 5 part final exam because some may be taking this course individually and might not know some of the content in the final part and so, may not pass the course without using external resources to learn things they didn't learn. The final exam should either only be for people who have completed the four previous parts or a choice if you've only taken some of the five parts.

The course was good and Professor Ghrist is great at teaching; just that he takes a little too long but speeding up makes that fine. The topics never feel like they were underutilised or unimportant; every concept is given practical or theoretical justification for its introduction which is fantastic. It would have been nice to see more applications of discrete calculus as a method to evaluate sums, maybe as exercises? I did enjoy the course too, thanks Professor Ghrist and your team.

very cognitive!!

Excellent.

Absolutely horrible! The tone of the lecturer is mocking and silly! which makes concentrating on the material that is being taught almost impossible. Also choice of teaching style and explanations of various complex concepts is so poor that I needed to supplement this course with Khan Academy and other videos on You Tube, only to make sense of what the lecturer is going on about. I do not recommend this course to anyone in his/her right mind, specially for such a challenging topic in calculus. what a silly university lecturer, what is that tone?!!!

The videos are unwatchable. I have never heard a professor speak with that vocal fry faux-ASMR but it was completely unnecessary and distracting to the content being presented. I thought it was a joke voice but he kept doing it.