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    Home > Courses > Mathematics > Algebra I > Calendar

    Calendar

    SES # TOPICS KEY DATES
    1 Groups, matrices, permutations Problem set 1 out
    2 Subgroups, cyclic groups
    3 Isomorphisms
    4 Homomorphisms

    Problem set 1 due

    Problem set 2 out
    5 Cosets
    6 Quotient groups
    7 Modular arithmetic, fields

    Problem set 2 due

    Problem set 3 out
    8 Fields
    9 Vector spaces, bases, dimension

    Problem set 3 due

    Problem set 4 out
    10 Computation with bases
    11 The dimension formula
    12 First quiz Problem set 4 due
    13 Linear operators, Eigen vectors Problem set 5 out
    14 The characteristic polynomial
    15 Rotations

    Problem set 5 due

    Problem set 6 out
    16 Isometries
    17 Isometries of the plane
    18 Finite groups of isometries

    Problem set 6 due

    Problem set 7 out
    19 Discrete groups
    20 Discrete groups (cont.)
    21 Group operations

    Problem set 7 due

    Problem set 8 out
    22 Finite rotation groups
    23 The class equation
    24 Permutation representations

    Problem set 8 due

    Problem set 9 out
    25 The alternating group
    26 Second quiz
    27 Bilinear forms
    28 Symmetric forms

    Problem set 9 due

    Problem set 10 out
    29 Hermitian forms
    30 The spectral theorem
    31 Quadrics Problem set 10 due
    32 The special unitary group SU2
    33 The rotation group
    34 One-parameter groups Problem set 11 out
    35 One-parameter groups (cont.)
    36 Third quiz
    37 The lie algebra
    38 Dimensions of the linear groups
    39 Simple groups Problem set 11 due