The professor is extremely passionate and well-informed about the subject. However it would have been a lot better if he used a more visual approach to explaining things (including graphs and diagrams).The positives about the course are:- There’s plenty of proofs for those who are so inclined. So you really get to understand what’s leading up to a particular formula.- The professor shows some very interesting applications such as showing why 22/7 and pi are not the same and constructing a bridge with only one side (harmonic tower) which is a real eye opener.- He shows you that the concepts in calculus are all deeply connected. There is not a single piece of the puzzle that does not fit with the other pieces. Getting this realization is probably one of the key value propositions of this course.- The mentors in the forums are extremely helpful and respond quickly to your queries.- You learn a lot about using formal mathematical symbols.- The questions are incredibly hard and very little in way of practice examples are provided. This forces you to up your game and really try to understand how things work. Things that are learned with a lot of hard effort are retained much better than things learned without much effort. Hence, I highly recommend this course and am grateful that I took it!If you are the kind of person who likes everything to be served cut and cleaned on a silver platter, you are not likely to enjoy this course. However, if you enjoy solving puzzles with often missing, incomplete, or poorly presented information then this course is exhilarating!The course can be improved by:1. Adding more concrete example with real numbers to show how some of the theorems work.2. Adding more graphs to show how the functions look.3. Adding more practice problems with clear explanations in case you get it wrong.4. Ensuring that exercises are in sync with the sections being presented (for example, in the middle of the course we’re asked a question which involves the Taylor series which is not presented till the last week.)5. Adding more worked out examples with detailed explanations6. Avoiding using confusing variable names (like “little m” and “big m”)I learned a lot in this course.The best lesson was when professor Jim Fowler says that the point of mathematics is not truth but proof. Not whether something is true but why.
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