Math 404: what we've covered so far
- Monday, 27 March. Covered Section 10.1,
rings.
- Wednesday, 29 March. Covered Section 10.2,
polynomials. Started Section 10.3,
homomorphisms and ideals.
- Friday, 31 March. Continued Section 10.3.
- Monday, 3 April. Finished Section 10.3.
- Wednesday, 5 April. Started Section 10.4, quotient
rings.
- Friday, 7 April. Continued Section 10.4.
- Monday, 10 April. Finished Section 10.4, just barely
started Section 10.5, adjunction of
elements.
- Wednesday, 12 April. Continued Section 10.5.
- Friday, 14 April. Continued Section 10.5.
- Monday, 17 April. Finished Section 10.5, started Section
10.6, integral domains and fraction fields.
- Wednesday, 19 April. Finished Section 10.6
- Friday, 21 April. Started Section 10.7, maximal
ideals.
- Monday, 24 April. Continued Section 10.7.
- Wednesday, 26 April. Finished Section 10.7, started
Section 10.8, algebraic geometry.
- Friday, 28 April. Rambled on some more about Section 10.8.
- Monday, 1 May. Started Section 11.1, factorization
in Z and F[x].
- Wednesday, 3 May. Finished Section 11.1, started Section
11.2, UFDs, PIDs, and Euclidean domains.
- Friday, 5 May. Continued Section 11.2.
- Monday, 8 May. Continued Section 11.2.
- Wednesday, 10 May. Declared Section 11.2 finished, and
started Section 11.3, Factorization in Q[x] and
Z[x].
- Friday, 12 May. Finished Section 11.3.
- Monday, 15 May. Started Section 11.4, Criteria for
irreducibility in Q[x] and Z[x].
- Wednesday, 17 May. Finished Section 11.4, started Section
11.5, Primes in Z[i].
- Friday, 19 May. Continued Section 11.5.
- Monday, 22 May. Started Section 13.2, algebraic
and transcendental field elements.
- Wednesday, 24 May. Continued Section 13.2.
- Friday, 26 May. Started discussing Section 13.4,
construction with straightedge and compass.
- Wednesday, 31 May. Continued with Section 13.4, also
started 13.3, the degree of a field extension.
- Friday, 2 June. Finished up loose ends in Sections 13.3
and 13.4.
Questions or comments? E-mail me at palmieri@math.washington.edu.
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