Monday | Tuesday | Wednesday | Thursday | Friday |
3 | 4 Chs. 1 & 2 Introduction, symmetry, definition of a group |
5 | 6 Ch. 2 & 3 Examples of groups, first two proofs |
7 |
10 | 11 Ch. 4 Dihedral groups, begin subgroups |
12 | 13 Chs. 5 and 11 Subgroups and generators, Lagrange's theorem |
14 |
17 | 18 Chs. 11 & 6 Corollaries of Lagrange's Theorem, Permutations |
19 | 20 Ch. 6 More on permutations, alternating group |
21 |
24 | 25 Ch. 7 Isomorphisms and Homomorphisms |
26MIDTERM I7-8:30 p.m. Location: TBA |
27 Chs. 7 & 8 How to make Isomorphisms and Cayley's theorem |
28 |
Monday | Tuesday | Wednesday | Thursday | Friday |
1 Chs. 10 & 12 Products and Quotients |
2 | 3 Chs. 14 & 15 Conjugacy and quotient groups |
4 | |
7 | 8 Ch. 16 Homomorphism theorems |
9 | 10 Ch. 17 Actions, orbits, stabilizers |
11 |
14 | 15 Ch. 18 Counting orbits |
16 | 17 Ch. 20 Sylow's theorems |
18 |
21 | 22 Examples of Sylow's theorems |
23MIDTERM II7-8:30 p.m. Location: Herrin T175 |
24 Applications to physics, special relativity, Matrix groups |
25 |
Monday | Tuesday | Wednesday | Thursday | Friday |
1 Applications to chemistry, representation theory |
2 | 3 More representation theory |
4 | |
7 | 8 Applications to Art |
9 | 10 Applications to more math |
11 FINAL DRAFT OF WRITING ASSIGNMENT DUE |
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