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I am currently a sophomore and a math major with thinking of adding computer science as either minor or second major. I get to register for my classes for Fall Quarter in a week, and I am thinking of taking 2 math classes: One will be numerical analysis, and the other is not yet determined. But I am thinking of taking either real analysis or topology, and here are my thoughts for these courses.

-I actually took the first term of analysis last term, but I didn't do very well (ended up taking it Pass/No Pass, and I passed. I also discussed about this in here: https://www.physicsforums.com/showthread.php?t=298030 ). I think that poor performance was partly because of my maturity (whether mathematical or not), and I would really like to take it again someday. For next year, this course is going to be taught by the professor that I had for multivariable calculus, and I liked him quite a bit. I also still own Rudin's PMA as well as Ross's Elementary Analysis: Theory of Calculus, so I might actually consider studying for this course (with my friends who also took analysis last year but dropped after the first quarter), so taking analysis next year might be feasible.

-On the other hand, topology sounds interesting to me too (it actually sounds more interesting than analysis, but I'll never know). I don't know much about the professor who's teaching this course, but he seems to be getting good reviews from his students. But I've heard that topology should be taken AFTER I have taken either analysis or algebra (or possibly both), and I've also heard it's more challenging than analysis or algebra. I don't know how true that is, and I've also heard an argument that says it's not really true.

-It might be normal for me to have algebra as one of my choices, but this class conflicts with my schedule a little bit (I have to sacrifice numerical analysis), and there are some negative feedbacks for this professor (e.g. too difficult, not helpful in office hours, etc), although these feedbacks aren't necessarily from the abstract algebra class (mainly from linear algebra and calculus students). I'm certainly interested in learning algebra as well, but I'm thinking of waiting until my senior year (or super senior year).

Any comment is appreciated, and I'm welcome to answer any question that you might have.

Thanks,

PieceOfPi