Math 369.101: Intro to Abstract Algebra

Fall 2016




  • DateTopicAssignment Due
    08/29First class
    Intro, ℤm, fields
    08/31Basic properties of fieldsPrep 1
    09/05Labor day
    09/07Last drop day
    Polynomials
    Prep 2 & Written 1
    09/12More on polynomials; division algorithmPrep 3
    09/14Common factors in 𝔽[x]Prep 4
    09/19Congruence modulo a polynomialWritten 2
    09/21Operations on congruent polynomialsPrep 5
    09/26When 𝔽[x] mod p(x) is a field.
    09/28Isomorphisms and Kronecker's theorem.Written 3
    10/03Irreducible polynomials over ℚ, Eisenstein's CriterionPrep 6
    10/05Discussion on midterm, RingsWritten 4 and Prep 7
    10/10Midterm 1
    10/12Examples of rings
    10/17Ring homomorphisms, kernels
    10/19Ideals
    10/24Fundamental Theorem for homomorphisms
    10/26Intro to groups, symmetriesWritten 5
    10/31More on symmetries, properties in groupsPrep 8
    11/02Permutations and the symmetric groupPrep 9
    11/07Subgroups and Lagrange's TheoremPrep 10
    11/09Discussion, more on subgroupsWritten 6
    11/14Midterm 2
    11/16Group homomorphisms and isomorphisms
    11/21Cyclic groups
    11/23Thanksgiving break
    11/28More on subgroups
    11/30Normal subgroups and factor groups
    12/05Normal subgroups and factor groups, cont'd
    12/07Homomorphisms and isomorphisms, revisited
    12/12Last class
    12/19Final Exam, 5:15pm
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Towson Mathematics Department