Schedule
Tentative syllabus (Just rough time-frame)
| Week of | Section | Topic | |
|---|---|---|---|
| Jan 10 | 0 1 |
Introduction, Sets and Relations | |
| Jan 17 | 2 3 |
Binary Operations Isomorphic Binary Structures |
|
| Jan 24 | 4 5 |
Groups Subgroups |
|
| Jan 31 | 5 6 |
Subgroups Cyclic Groups |
|
| Feb 7 | 8 9 |
Groups of Permutations Orbits,Cycles, and the Alternating Groups |
|
| Feb 14 | 10 | Cosets and the Theorem of Lagrange | |
| Feb 21 | 11 | Direct Products and Finitely Generated Abelian Groups | |
| Mar 2 | 13 | Homomorphisms | |
| Mar 7 | Spring Break | ||
| Mar 15 | Midterm, Time: 8:00-9:15am, Location: Lander Auditorium, Hutchison 140 | ||
| Mar 15 | 14 15 |
Factor Groups Factor-Group Computations and Simple Groups |
|
| Mar 28 | 16 17 |
Group action on a set Applications of G-Sets to Counting |
|
| Apr 4 | 18 19 |
Rings and Fields Integral Domains |
|
| Apr 11 | 20 21 |
Fermat's and Euler's Theorems The Field of Quotients of an Integral Domain |
|
| Apr 18 | 22 23 |
Rings of Polynomials Factorization of Polynomials over a Field |
|
| Apr 25 | 26 27 |
Homomorphisms and Factor Rings Prime and Maximal Ideals |
|
| May 2 |
Final, 12:30-3:30pm, Dewey 2162 |
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