Help picking/distinguishing these two algebra courses [closed]
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I have the option of taking one or both of these classes, but I am unfamiliar with algebra and don't know the difference between the following two courses based on their descriptions: MATH 578. Algebraic Structures. 3 Credits. (NOTE: taught by a very well regarded professor) Permutation groups, matrix groups, groups of linear transformations, symmetry groups; finite abelian groups. Residue class rings, algebra of matrices, linear maps, and polynomials. Real and complex numbers, rational functions, quadratic fields, finite fields. (prerequisite is linear algebra/textbook is "First Course in Abstract Algebra" by Fraliegh) MATH 534. Elements of Modern Algebra. 3 Credits. (NOTE: taught by a professor with mixed reviews) Binary operations, groups, subgroups, cosets, quotient groups, rings,...