Overall, this course has very solid content. In fact, this is one of the few (probably the only one) advanced mathematics course on Coursera. More specifically, in order to take this course, you need to have good understanding of group, field and ring. In other words, you are assumed to have taken general undergraduate level abstract algebra courses before.However, there are some aspects of the course that are worth improving. First, probably due to the nature of online course, I personally find learning Galois Theory online very challenging. The lectures themselves make sense. The practice problems and quiz, however, sometimes do not seem to be reinforcing the lectures. The materials on tensor product seem to be unrelated as well. Usually these are covered in a course on commutative algebra. In addition, there was almost none communication within the discussion forums.Overall, I would definitely recommend this course if you have good background in general abstract algebra. After all, Galois Theory has long been a capstone type of course. If you have some background but not solid, it is definitely still doable.
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