Detailed Course Information |
Fall 2013
Jan 02,2025 |
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| MATH 432 - ABSTRACT ALGEBRA |
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An introduction to the algebraic structures known as groups, rings and fields. These structures are a basic part of the theory and language of modern mathematics. About two-thirds of the course will study topics from group theory: groups, subgroups, cyclic groups, permutation groups, Lagrange's Theorem, finitely generated abelian groups, homomorphisms and isomorphisms, normal subgroups, and factor groups. The remainder of the course will be an introduction to rings and fields and associated topics including: rings, fields, integral domains, polynomial rings, the quaternions, prime and maximal ideals and their factor rings. The course will emphasize understanding abstract structures, and reading and writing mathematical proofs.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: WRITING INTENSIVE Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: FOR MATH 432 General Requirements: Course or Test: MATH 262 Minimum Grade of D May not be taken concurrently. |
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