Fibonacci Numbers and the Golden Ratio

I think this is the fundamental course for Fibonacci sequence and golden ratio.

A very well planned and interactive course prepared by the lecturer, surely it helped to gain basic cum intermediate level of knowledge of Fibonacci numbers, Lucas numbers and the golden ratio.

This was a short, but well-done course about Fibonacci numbers and the golden ratio that greatly enhanced my understanding of the topic.

An amazing course I have learnt so much about Fibonacci numbers and the Golden Ratio in this class.

Fibonacci sequence exists all around in nature.

Finally I studied the Fibonacci sequence and the golden spiral.

Awesome course, easy to follow along and for those who are inquisitive in nature.

This course showed how important they are, their occurrence in nature, their real world application and a multitude of ways to find them and represent them.The format of this course was also excellent, the videos are rich in content but still entertaining and easy to follow, some of the later ones are worth watching several times because they are quite packed in information.

I suggest you take this course if you are a fan of math and want some fun in your spare time.

The best part is that anyone with basic understanding of algebra can take this course.

Thanks Professor Chasnov for a great first course which is definitely suitable to beginners with the way it eases students into the concepts introduced and the great explanations.

Professor Chasnov did a really good job on introducing this topic!

I would like to understand if it can be applied to real world problems.

More real world examples of Golden Ratio necessary Excellent course.

So this course provides an extremely useful insight into it!All in all, it is a wonderful journey through mathematics!

Gives new insight into the meaning of numbers and definitely helps improve certain math skills such as proving statements, geometry, algebra etc.

The problems are both challenging and amusing.overall, i'm really satisfied with this course and i would definitely recommend it to anyone interested in math.

Accessible to anyone interested in maths and patterns.

This is so much more information that what I'd learnt way back in school or when solving Fibonacci based problems in Computer Science courses in college.

thanks so much.

This is a wonderful course that provides you with insights into a topic much neglected by the university mathematics curriculum but which is of great importance to art and nature.

There is also a preliminary quiz to see if you are familiar with the basic algebra or not, which is a very good design!A lot of the exercises in this course is about mathematical induction, which is an extremely important skill in university mathematics.

In this course so far I have been able to see what different types of patterns are and I have been able to see what kind of counting ways there are.

I came into this course thinking that it was going to be something relatively basic - being my first MOOC I wanted to do something which is new but not too difficult so I can see what online courses are like.The first week is mostly easy but was still interesting with its novel application of recursion to seemingly difficult problems like the staircase one but the second week stands out mostly for both its difficulty and use of other areas of math to prove results in far better ways - Cassini's identity with the Q matrix in particular.