Excellent professor who made a complex mathematical feat most enjoyable. Your step-by-step walking through, Professor Chasnov, and demonstrating that with examples made me wish I had you for Diff-EQ course in college. Thank you.

I really enjoyed this course, it was very clear and with the proper mathematical rigor, not too complex but not too simple, very complete course. The teacher was very clear and I really liked the enthusiasm he puts into teaching.

Felt a thrill when realizing the golden angle was programmed into the growth of the sunflower. Maybe akin to what Kepler described as "thinking God's thoughts after him". Jeoffrey really conveyed his fascination with the subject.

It was one of the best course that I have taken online. The way the professor explains things are extraordinary and interesting. He made very good presentation and easy to understand with diagrams. Thanks professor.

This class was very interesting and insightful. Being a high school student, some of the math was challenging. However, detailed explanations of each practice problems were provided, making it easier to follow along.

Just an Amazing course that doesn't only gives the learner knowledge but also teaches how to think.

Professor has a very nice sense of humor also that makes learning more fun!

Thank you for this amazing course!

Absolutely brilliant course. I was intimidated when I began but learned so much, due to the videos and comprehensive course notes, that I have passed and feel a great sense of achievement.

Thank you very much.

Phi is one of the most interesting numbers (1/7, Euler-Mascheroni, Euler number, pi). It is the number of recursions (geometrically, algebraically). The course deepens into interesting properties of phi.

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.

Excellent exposition of a fascinating subject.

Very well organized, including a handout with the course material.

Many thanks to Prof. Chasnov and the HKUST for this worthwhile opportunity!

this course made mathematics fun and I gained enlightened concerning how mathematics show up in nature, and how to interpret such scenes. I recommend to attend such courses-- Thank you

It was a wonderful experience. I have learnt a lot more about Fibonacci numbers and the golden ratio during this course. I urge the professor to create more and more courses like this.

I really enjoyed this class. The video lectures were clear and fascinating, and the math assignments were well-chosen and reinforced learning of the material presented in the lectures.

​A short and interesting course that gives you exposure to some types of university math. Also a great topic that shows some of the wierd and unexpected ways that math is beautiful.

Simplesmente sensacional!! É incrível ver e estudar sobre um assunto tão bonito quanto esse. O professor explica de forma clara e objetiva. Parabéns pelo curso proporcionado!!!

Good course for introduction to Fibonacci Numbers. Should include more introduction lectures such as group theory, category theory, type theory, number theory, and algorithms.

This was the fourth course of me with Prof Jeffrey. i am really very thankful to our beloved prof and also thanks to The Hong Kong University of Science and Technology

The course is concise, to the point and very interesting. Though it looks easy at first sight, without practice, you cannot complete it.

Thank you, it was great fun.

Very neat and well organized, all material at hand. I liked the skipped math bits that the others mentioned, so that I could myself engage in figuring out.

Beautiful course, very well organized and doesn't require very high maths skills to complete. The instructor is great and put in a lot of effort into it.

The course looks at perfection level, clear and fun. The patience and the generosity of Professor Chesnov throughout the whole course are commendable.

Took me awhile to get in the groove — age 76 — but the little gray cells made the grade. Thank you for a well-organized, clearly presented course.

Very interesting. Much more math heavy than I was expecting, and would very hard to follow if you don't have at least first year university maths.

These kind of courses are always interesting, where the world is full of mathematical calculations and hope to see more videos on nature and maths

Nice course to explore concepts like Fibonacci NUMBERS, Golden RATIO ,Lucas NUMBERS and many more. Very well taught by professor JEFF CHASNOV.