really great course and really great professor, the course made me smarter at writing better proofs and thinking in more formal and smarter ways, it's really an essential course if you are looking to become smarter in all sorts of manner.

Clear and understandable description about proofs and theorems represented by Dr.Devlin, I had an enjoyable and fruitful learning experience. I strongly recommend this course to those who will enter univerisity or college sooner or later.

This was one of the best online courses I have ever enrolled in. The experience was sublime. It was very well structured; easy to follow instructions and really provided with me an understanding of the skills needed in logical reasoning.

Really changes the mindset! A new way of looking at evidence. I understood the principle of mathematical induction, why it allows to obtain true conclusions. Everything is clear and easily explained. Many thanks for the course!

Thank you for this course! It is slowly building your new thinking. So dont rush, just take time and let your new thinking grow from the smallest math concepts. It is pretty fantastic what your work is done for me! Thank you!

Course is well explained. Course should come in two flavour i.e. fast pace course and more advanced for those who have already studied this course in college ,but want to revise it from coursera and this is best for beginner

It helped to review and recall all the old content, Was able to get new insight of Natural Number Systems, Quantifiers , Mathematical Reasoning, Sequence,etc.

The Videos, Quizzes, Assignments ,Peer Review were eye openers.

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A detailed and thorough course presented in an understandable fashion. It helps you develop critical thinking and problem solving skills by getting you to think in different ways as a mathematician. Highly recommended.

I found this course a great refresher and it helped me fill a lot of gaps that had developed in my ability to understand advanced mathematics. The course helped me move faster with my study of ML and AI algorithms.

This course really helped me notice the subtleties of simple mathematical things in nature and even in daily life which we take for granted or assume to be true. This was my first course and it was a good decision

A fantastic course , professor Keith was extraordinary , I am currently pursuing my Bsc. in Mathematics and this is one course that I recommend for all the students who see their future in fields of mathematics

This was a really good course, making you "think" in general and in particular about mathematical proofs. The professor's exposition was outstanding. The explanation of evaluation of proofs was really nice.

I wish I had a class like this in high school. It would have been a great class between algebra and calculus. Should be required for every high school student. I plan on reviewing this class many times.

Exceptionally good course, one of the best online courses I've completed. Really feel that I have learnt some valuable skills, and more importantly a better way of thinking about mathematics. Many thanks.

An awesome course. Very easy to follow at the start, becomes more challenging at the end. I have a PhD in economics yet I struggled with the real analysis at the end. And that's just intro level! :-D

This course was really useful. I learnt so much! I could appreciate why mathematics is such a beautiful subject by the end of this course. Definitely glad to have taken this course, and would recommend.

It has help evaluate what I put into decision in any applicable context. Since I've noted what decision I make and how outcome can be made to vary when I consider all components in a isolated manner.

It was an amazing course! Lots of interesting content. The content is also explained really well, i found it really easy to understand. The assessments are a little challenging, but reasonably sized.

This course is great because it teaches you the foundations of mathematical thinking, namely how to write rigorous and concise proofs. I really enjoyed the course and would recommend it to a friend.

Great course! Highly recommend it to all my friends interested in math. Devlin is a talented teacher, not just a mathematician (as it usually happens with someone who happen to teach math).

I have to say I enjoyed the course and the reading materials. My advice would be to take the course it will make you think. It is a great refresher / introduction to mathematical thinking.

It is nice to see connections among mathematical theories, and this course it is very well designed to accomplish this. I highly recommend if you want to improve your mathematical skills.

i just had taken this course in the college and i don't understand a lot of things but after i started in the course a lot of thinking going to be more clear , thank you for this course .

With the help of this course, my grade for fundamental mathematics at school raised from C to A. Really thankful. This course truly helped me better understand the abstruse conceptions.

Great course to learn how to develop proofs and mathematical / logic arguments. The course very start seems too basic, but there are many interesting concepts being developed further.