Math 310

	Date	Topic	Book	HomeworkHmwk	Practice ProblemsProbs
Sept.	5	Introduction to the course	§1		1— 10
	7	Counting symmetries of polyhedra	§1
	11	Axioms	§2—3		§2: 3—7; §4: 2—4
	12	Examples of groups	§3		1—10
	14	More symmetries of algebraic structures	§9		1—6
	18	Subgroups	§5	H1	1—5, 7, 8
	19	Generators	§5	A1	1—5, 7, 8
	21	Order of an element, Cyclic groups	§5		10—12
	25	The symmetric group	§6	H2	1—5
	26	More Symmetric Group	§6	A2
	28	The alternating group	§6		8—12
Oct.	2	National Day for Truth and Reconciliation
	3	Dihedral groups	§4	H3	5—9
	5	More on dihedral groups	§4	A1
	9
	10	Fall Mid-Term Break
	12
	16	Homomorphisms	§16	H4	1—7
	17	Isomorphisms	§7	A4	1—12
	19	Conjugation
	23	Cosets	§11—12	H5	§11: 1, 2; §12: 3, 8
	24	Lagrange's theorem	§11	A5	1—5
	26	Normal subgroups	§15		1, 2, 4, 6
	30	Quotient groups	§15	H6	13
	31	The first isomorphism theorem	§16	A6
Nov.	2	The correspondence theorem	§16
	6	More about the correspondence theorem	§16	H7
	7	Proof of the correspondence theorem	§16	A7
	9	Conjugation and conjugacy classes	§14		1—5
	13	More conjugation	§14	H8	6, 9, 12
	14	Group actions on sets	§17	A8	1, 2, 5, 6, 7
	16	More group actions on sets	§17
	20	Orbits and Stabilizers	§17	H9	3, 4
	21	The orbit-stablizer theorem	§17	A9	6, 7, 8
	23	Automorphisms of the platonic solids	§8		4, 11
	27	Symmetries of the icosahedron	§8	H10	5, 12
	28	p-groups and the Sylow theorems	§20	A10	1, 2
	30	Proofs of the Sylow theorems	§20		3, 9, 10
Dec.	4	More Sylow theorems	§20	H11
	5	Products	§10	A11	1—13
	7
	11			H12
	12			A12

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