Material covered:
- Monday, March 28: linear algebra (Chapter 3).
- Wednesday, March 30: linear transformations (selections
from Chapter 4).
- Friday, April 1: fields, field extensions (Sections 13.1,
13.2).
- Monday, April 4: no class.
- Wednesday, April 6: degree of a field extension (Section
13.3).
- Friday, April 8: construction with straightedge and compass
(Section 13.4).
- Monday, April 11: more on straightedge and compass
construction.
- Wednesday, April 13: finite fields (13.6).
- Friday, April 15: more on finite fields (13.5, 13.6).
- Monday, April 18: derivatives and multiple roots (13.5).
- Wednesday, April 20: which finite fields are subfields of
which finite fields? (13.6)
- Friday, April 22: uniqueness of splitting fields.
- Monday, April 25: review.
- Wednesday, April 27: midterm.
- Friday, April 29: introduction to Galois theory (14.1).
- Monday, May 2: more about Galois theory.
- Wednesday, May 4: an example, and Galois groups of quadratics.
- Monday, May 9: symmetric polynomials.
- Wednesday, May 11: solvability by radicals.
- Friday, May 13: symmetric groups.
- Monday, May 16: S5 is not solvable.
Started proof of main theorem about solvability.
- Wednesday, May 18: finished discussing proof of main
theorem about solvability.
- Friday, May 20: modules.
- Monday, May 23: finitely generated modules.
- Wednesday, May 25: free modules and finitely generated
modules.
- Friday, May 27: submodules of free modules, matrices, and
diagonalization.
- Wednesday, June 1: the main theorems on classification of
finitely generated modules.
- Friday, June 3: Jordan canonical form.
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John Palmieri Padelford C-538 (206) 543-1785
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