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| − | == Catalog Information ==
| + | {{db-g7}} |
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| − | === Title ===
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| − | Algebra.
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| − | === Credit Hours ===
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| − | 3
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| − | === Prerequisite ===
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| − | [[Math 372]].
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| − | === Description ===
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| − | == Desired Learning Outcomes ==
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| − | === Prerequisites ===
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| − | === Minimal learning outcomes ===
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| − | <div style="-moz-column-count:2; column-count:2;">
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| − | #Group Theory
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| − | #* Axioms and Examples
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| − | #* Homomorphisms and Isomorphisms
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| − | #* Subgroups
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| − | #* Centralizers and Normalizers
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| − | #* Cyclic gorups and subgroups
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| − | #* Quotient Groups
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| − | #* Lagrange's Theorem
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| − | #* Isomorphism theorems
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| − | #* Group Actions
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| − | #* Permutation Representations
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| − | #* Cayley's Theorem
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| − | #* The class equation
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| − | #* Sylow theorems
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| − | #* Direct and semidirect products
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| − | #* Solvable and Nilpotent groups
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| − | #Ring Theory
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| − | #* Definitions and Examples
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| − | #* Homomorphisms and quotient rings
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| − | #* Ideals
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| − | #* Rings of fractions
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| − | #* Chinese remainder theorem
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| − | #* Euclidean Domains, PID's and UFD's
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| − | #* Polynomial Rings
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| − | #Module Theory
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| − | #* Definitions and Examples
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| − | #* Quotient modules and homomorphisms
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| − | #* Direct sums
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| − | #* Free Modules
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| − | #* Tensor Products
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| − | #* Exact Sequences
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| − | #* Projectives, Injectives, Flats
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| − | </div>
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| − | === Additional topics ===
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| − | === Courses for which this course is prerequisite ===
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| − | [[Category:Courses|671]]
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