MTH 344   Introduction to Group Theory and Applications   Spring 2024 - PSU - In Person Syllabus,   Calendar,   Discussion Group,   Canvas
Section	By	Read (chapter)		Try	HW
Part 1 Groups and Functions	4/2 4/2	§1   History of Algebra   §2   Operations		Practice 1 solutions	HW 1 solutions
	4/4 4/9	§3   Groups   §4   Basic Properties		Practice 2 solutions	HW 2 solutions
	4/11   4/16	§5a   Subgroups   §5b   Generators   §6a   Four Properties   §6b   Functions		Practice 3 solutions	HW 3 solutions
Exam One	4/25	Covers material through Ch. 6 review/solutions		exam solutions
Part 2 Permutations, Isomorphisms, and Cyclic Groups	4/18 4/30	§7   Permutations   §8a   Cycle Notation - video   §8b   Transpositions - video   §8c   Evens and Odds - video		Practice 4 solutions	HW 4 Due May 7 *or May 9 is OK
	5/2   5/7	§9a   Isomorphisms - video   §9b   Cayley Theorem - video   §10a   Orders   §10b   Order Formula		Practice 5 solutions	HW 5 Due May 14
	5/9   5/14	§11a   Cyclic Groups   §11b   Euler's Phi Function   §12   Partitions		Practice 6 solutions	HW 6 Due May 21
Exam Two	5/23	Covers material through Ch. 12
Part 3 Cosets, Quotients, and Homomorphisms	5/16   5/28	§13a   Cosets   §13b   Coset Theorems   §14a   Homomorphisms   §14b   Normality		Practice 7 solutions	HW 7 Due Jun 4
	5/30   6/4	§15a   Quotient Groups   §15b   Natural Homomorphism   §16a   Fundamental Theorem   §16b   Using the FHT		Practice 8 solutions	HW 8 Due Jun 10
Exam Three	6/10	Cumulative

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