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621 Bewertungen

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219 Bewertungen

Learn the mathematics behind the Fibonacci numbers, the golden ratio, and how they are related. These topics are not usually taught in a typical math curriculum, yet contain many fascinating results that are still accessible to an advanced high school student.
The course culminates in an explanation of why the Fibonacci numbers appear unexpectedly in nature, such as the number of spirals in the head of a sunflower....

Aug 18, 2019

Excellent exposition of a fascinating subject.\n\nVery well organized, including a handout with the course material.\n\nMany thanks to Prof. Chasnov and the HKUST for this worthwhile opportunity!

Jul 13, 2020

Someone has said that God created the integers; all the rest is the work of man. After seeing how the Fibonacci numbers play out in nature, I am not so sure about that. A very enjoyable course.

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von Deep P

•Apr 30, 2020

This course did a great job of giving me an amazing understanding of the Fibonacci numbers and the golden ratio. I found it super interesting, and I was delighted whenever a connection was found between the two large subjects was found. One recommendation that I have to improve the course is to provide a little more assistance/hints with solving the HW proofs/problems. I found some of them tricky at times, and giving up made me feel unsatisfied, so help in solving or giving out strategies on how to do difficult proofs would be greatly appreciated.

von Susannah R

•Aug 08, 2019

This course gives a fascinating insight in the logic behind some of nature's beauty. It requires a lot of maths, far more than I did at school (A Level) many years ago. It is definitely aimed at keen maths students. I found that many of the examples in the videos and the model answers to the questions missed lots of steps that I needed. These logic jumps may be second nature to somebody regularly studying maths , but for the 'casual' MOOCer at home who thinks "Ooh! that looks interesting", it left me struggling.

von Paul R M

•Apr 27, 2018

I liked this course, and I discovered the amazing relationships one can derive for Fibonacci numbers and related entities. The lecturer is very clear, and if one does the exercises then one gets a good grasp of the subject. I gave it only four stars partially because the subject matter seems to be more a way to amaze your friends rather than doing something relevant. I would like to understand if it can be applied to real world problems. Maybe that's because I am not a mathematician!

von Mike H

•Jul 05, 2020

I enjoyed the course well presented and documented. One suggestion Professor Chasnov mentioned other Maths courses that are available. A problem I have being retired but interested in maths, what other classes are suitable, I often go into high school courses that I did years ago, or head off into really challenging areas that I have no chance of completing. I suggest that there should be a course tree maybe for number theory as a topic that gives guidance.

von Anne P

•Jun 14, 2020

An interesting course with enough 'easy' bits to counteract the very hard parts.

Only thought about improvements would be to see the lecturer smile. For example, he said he'd had fun in the course but his face indicated he was bored by it all. It's nice if you can show that you enjoy the work so students think it's interesting to do.

von Kim R

•May 29, 2020

Really enjoyed the enthusiasm and interest level of the professor. Math level was cumbersome at times, but overall gained an appreciation for these numbers and their beauty! Thanks for offering this course.

von Sophia R L

•Jun 24, 2020

All topics were very interesting and I love that there were real life examples and history incorporated into subject. The course was engaging and the material was fascinating & useful. I learned a lot!

von Utpal B

•Jun 06, 2018

This course blends the rational thinking of mathematics and the aesthetics of art in nature. Enjoyed it. Thanks Coursera and Hong Kong University of Science and Technology

von Catherine K

•Mar 15, 2017

Thoroughly enjoyed this course. Interested in the Fibonacci Numbers and Golden Ratio and was looking for more information, this was clearly provided.

von Devashish N

•Jun 25, 2019

Yeah, the course was fun and i knid of learned a lot of new stuff and I'm satisfied with that.

Good course to learn.

von Kush S

•Jun 30, 2019

Good Course with practical examples and mathematics applied to derivation and understanding of equations.

von Chandrakant N P

•Jul 04, 2018

It was very useful to enhance my knowledge of Golden ration. A very good delivery by Professor Jasnov.

von Roshni S

•Aug 10, 2019

The course has given a deeper insight into the subject. It made me appreciate the subject more.

von Swetha S

•May 29, 2020

It's really interesting and fulfilled!! Thank you so much for this course.

von E

•Jun 29, 2017

Professor, thank you for sharing. Appreciate the opportunity.

von Ashwin K

•Dec 13, 2016

Good course. More problems sets would have been great!

von Aditya h

•Aug 10, 2016

More real world examples of Golden Ratio necessary

von AM

•Sep 03, 2017

Give practical examples from history and nature!

von Rohan M

•Aug 04, 2020

Interesting course with practical examples

von Jenshiyaa A A

•Jul 06, 2020

It is really interesting to learn .

von Shikhar B

•Nov 18, 2016

good course, to learn something new

von Brian W

•Dec 29, 2016

Great course! A little short.

von Rahul M

•Dec 30, 2019

Very basic and short course.

von Narendra P M

•Jun 07, 2020

Enjoyed while learning

von Sravan G

•Dec 08, 2016

great learned a lot .

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