MTH 344   Introduction to Group Theory and Applications   Summer 2025 - PSU - In Person Syllabus,   Calendar,   Discussion Group,   Canvas   Tue 12pm Zoom,   Textbook
Section	By	Read (chapter)		Try	HW
Part 1 Groups and Functions	6/23 6/23	§1   History of Algebra   §2   Operations		Practice 1 solutions	HW 1 solutions
	6/25 6/25	§3   Groups   §4   Basic Properties		Practice 2 solutions	HW 2 solutions
	6/30     7/2	§5   Subgroups / Generators   §6   Four Properties / Functions		Practice 3 solutions	HW 3 solutions
Exam One	7/9	Covers material through Ch. 6 review / solutions		exam solutions
Part 2 Permutations, Isomorphisms, and Cyclic Groups	7/7 7/9	§7   Permutations   §8   Cycles / Swaps / Parity		Practice 4 solutions	HW 4 solutions
	7/14 7/16	§9   Isomorphism / Cayley Theorem   §10   Orders / Properties		Practice 5 solutions	HW 5 solutions
	7/21 7/23	§11   Cyclic Groups / Euler Phi Function   §12   Partitions		Practice 6 solutions	HW 6 solutions
Exam Two	7/30	Covers material through Ch. 12 review / solutions		exam solutions
Part 3 Quotients, Cosets, and Homomorphism	7/28 7/30	§13   Cosets / Lagrange   §14   Homomorphism / Normality		Practice 7 solutions	HW 7 solutions
	8/4 8/6	§15   Quotients / Natural Homomorphism   §16   Fundamental Theorem / Using the FT		Practice 8 solutions	HW corrections are due Aug 13
Exam Three	8/13	Cumulative review / solutions

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