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Voltar para Fibonacci Numbers and the Golden Ratio

Comentários e feedback de alunos de Fibonacci Numbers and the Golden Ratio da instituição Universidade de Ciência e Tecnologia de Hong Kong

1,048 classificações

Sobre o curso

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. Download the lecture notes: Watch the promotional video:

Melhores avaliações


28 de out de 2020

Great course concept for about one of the most intriguing concepts in the mathematical world, however I found it on the difficult side especially for those who find math as a challenging topic.


12 de jul de 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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301 — 325 de 350 Avaliações para o Fibonacci Numbers and the Golden Ratio

por Yaprak O

8 de nov de 2019

Overall, an interesting course that cannot be found ordinarily in a classroom setting. Instructor explains the concepts well, and the personal element adds to the course. Gives new insight into the meaning of numbers and definitely helps improve certain math skills such as proving statements, geometry, algebra etc. Quizzes are easy, a light course in terms of assessments overall.. One downside is that the questions have no solutions posted (at least I could not find it) so we do not have a correct framework for answering these types of questions. Also, some videos had an excessive non-mathematical, historical and oriental side to them which did not exactly appeal to me. However, definitely a unique course that will provide you with a unique perspective.

por Deep P

30 de abr de 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.

por Ibrahim d J D N

5 de jan de 2023

El curso es muy entretenido, te da una perspectiva distinta de en donde se encuentran las matemáticas dentro de la naturaleza. Si se tiene conocimientos matemáticos como lo es cálculo, álgebra y geometría es bastante ameno seguirlo paso a paso.

Solamente critico que hay un par de tópicos que no se vieron tanto a profundidad, como lo fue la ecuación de Lucas, que si bien es bastante similar a la de Fibonacci, al momento de responder las evaluaciones no existía una práctica previa en las clases.

por Paul M

27 de abr de 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!

por Mike H

5 de jul de 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.

por Anne P

14 de jun de 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.

por Amber M

25 de mai de 2021

Super interesting subject. As a person who hasn't taken calculus since high school, I found that some of the exercises were hard to follow, and wished there was more detailed explanations for those who wanted it. I still managed to pass comfortably with the help of the lecture notes and our good friend Google.

por Kim R

28 de mai de 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.

por Sophia R L

24 de jun de 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!

por Utpal B

6 de jun de 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

por Catherine K

15 de mar de 2017

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

por Isaak C

2 de set de 2020

It is a great course. If more real life examples of Fibonacci numbers and the Golden Ratio can be illustrated, it will be more fun.

por Devashish N

24 de jun de 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.

por Kush S

30 de jun de 2019

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

por Chandrakant N P

4 de jul de 2018

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

por Roshni S

10 de ago de 2019

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

por Vishal P

24 de ago de 2022

The course touched base with all the important concepts and was easy to understand.

por Swetha S

29 de mai de 2020

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

por Michele P

2 de out de 2022

I would suggest to introduce some videos about interaction with nature

por E

29 de jun de 2017

Professor, thank you for sharing. Appreciate the opportunity.

por Ashwin K

13 de dez de 2016

Good course. More problems sets would have been great!

por Frank R B J

20 de nov de 2021

Would have liked for it to have been a bit longer

por Aditya h

10 de ago de 2016

More real world examples of Golden Ratio necessary

por AM

3 de set de 2017

Give practical examples from history and nature!

por Rohan M

4 de ago de 2020

Interesting course with practical examples