I am a physics undergrad, looking to explore pure maths.
I apologize if this question is not appropriate for MathSE, but I couldn't resist posting it. Feel free to close it down.
I haven't taken any formal course in maths uptil now, but have done some linear algebra, representation theory, topology, differential geometry by self-study from mathematical physics textbook. I am thinking of taking a masters level course on groups and rings at my uni. The course structure is here.
Please could you guide me if it would be wise to directly take a MSc level algebra course with no prior exposure to a formal pure math course. This may sound immature, but I can physically put only maybe 7-8 hours a week outside class for this course. I have an ongoing research project, 6 theory courses, and independent QFT. I am really interested in learning this, but I have no idea if it would be too ambitious.
In particular my question is :
How many hours of effort would I require to put for this course (check the link)?
Would I able to cope up with rigorous, and problems. I am really not aware of the rigour in mathematics, but i really enjoy how simple definitions can lead to beautiful results, and help to express things clearly.