Algebra I 16:640:551 Final Exam
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Covered material:
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Great Algebra Book:
    2.1-2.5: Categories, functors, natural transformations.
    3.1-3.7: Universal constructions (3.5 can be skipped as long as you know
             what a free object is).
    4.1-4.4: Multilinear algebra.
    5.1-5.5: We mainly discussed modules over commutative rings (except for some
             homework problems), and we did not discuss completely reducible
             modules. In 5.5, only Noetherian rings and modules.

Great Book Rings:
    26.2:    Just the definition of localization and the properties covered in
             class or homework (so some topics can be skipped).

Great Book Groups:
    6.1-6.8: Group theory (6.5 and 6.6 contain lots of important examples that
             you are encouraged to know, but the exam will not require that you
             know these examples.)
    7.1-7.6: Group actions (7.4 and 7.2 have same status as 6.5 and 6.6).

Boot Camp Notes:
    Sections 2, 5-8, 11-13.

Working With Tensor Products:
    Everything.

All assigned homework problems.


Instructions for the final exam will include:
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Your solutions will be evaluated for correctness, completeness, and
clarity, so please write your solutions carefully, clearly, and legibly.


Good luck to everybody!