Algebra I 16:640:551 Midterm
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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.
    5.2:     Multilinear algebra for modules over a commutative ring.

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).

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

Working With Tensor Products:
    Everything.

All assigned homework problems.


Instructions for the midterm 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.


Practice problems:
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One student requested some practice problems on semidirect products. Here are
a few (some of which will show up in future HW assignments):

Great Book Groups: 6.8.4, 6.8.9, 6.8.10, 6.8.11

I will also post a couple more practice problems on Canvas.

Good luck to everybody!