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    Home > Courses > Mathematics > Algebra II > Calendar

    Calendar

    SES # TOPICS KEY DATES
    Group representations
    1 Todd-Coxeter algorithm Problem set 1 out
    2 Sylow theorems
    3 Group representations
    4 Unitary representations Problem set 1 due
    5 Characters Problem set 2 out
    6 The regular representation
    7 Characters (cont.)
    Rings: basic definitions
    8 Rings, homomorphisms

    Problem set 2 due

    Problem set 3 out
    9 Ideals, quotient rings, correspondence theorem
    10 Maximal ideals, prime ideals, fractions
    Rings: factorization
    11 Gauss' Lemma

    Problem set 3 due

    Problem set 4 out
    12 Criteria for irreducibility
    13 First quiz
    14 Unique factorization
    Rings: abstract constructions
    15 Relations in a ring

    Problem set 4 due

    Problem set 5 out
    16 Adjoining elements
    Quadratic imaginary integers
    17 Gauss primes
    18 Quadratic integers Problem set 5 due
    19 Ideal factorization Problem set 6 out one day before Ses #19
    20 Ideal classes
    Linear algebra over a ring
    21 Free modules Problem set 6 due
    22 Integer matrices Problem set 7 out
    23 Generators and relations
    24 Structure of abelian groups
    25 Second quiz
    Fields: field extensions
    26 Algebraic elements, degree Problem set 7 due
    27 Ruler and compass
    28 Symbolic adjunction Problem set 8 out
    29 Finite fields
    30 Function fields Problem set 8 due
    Fields: Galois theory
    31 The main theorem Problem set 9 out
    32 Cubic equations
    33 Symmetric functions
    34 Splitting fields, cyclotomic extensions

    Problem set 9 due

    Problem set 10 out
    35 Primitive elements
    36 Proof of the main theorem
    37 Third quiz
    38 Quartic equations
    39 Quintic equations Problem set 10 due