Mth 344 - Sum 2025

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
due Aug 4

Exam Two 7/30 Covers material through Ch. 12
review / solutions

Part 3
Quotients,

Cosets, and

Homomorphism
7/28
7/30 §13 Cosets / Lagrange
§14 Homomorphism / Normality Practice 7
solutions HW 7
due Aug 11

Exam Three 8/13 Cumulative
review/solutions

			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 due Aug 4
Exam Two	7/30	Covers material through Ch. 12 review / solutions
Part 3 Quotients, Cosets, and Homomorphism	7/28 7/30	§13 Cosets / Lagrange §14 Homomorphism / Normality		Practice 7 solutions	HW 7 due Aug 11
Part 3 Quotients, Cosets, and Homomorphism
Exam Three	8/13	Cumulative review/solutions