Math 671: Algebra 1. - Revision history

Ls5: Replaced content with "{{db-g7}}"

2014-09-29T19:52:17Z

Replaced content with "{{db-g7}}"

AAEmpty: moved Math 671 to Math 671: Algebra 1.

2011-01-19T22:32:14Z

moved Math 671 to Math 671: Algebra 1.

Cpg: /* Minimal learning outcomes */

2010-07-28T16:41:01Z

‎Minimal learning outcomes

Cpg at 18:30, 4 June 2009

2009-06-04T18:30:30Z

AAEmpty: /* Courses for which this course is prerequisite */

2008-08-20T15:43:46Z

‎Courses for which this course is prerequisite

AAEmpty: /* Courses for which this course is prerequisite */

2008-08-20T15:42:24Z

‎Courses for which this course is prerequisite

AAEmpty: /* Additional topics */

2008-08-20T15:39:18Z

‎Additional topics

AAEmpty: /* Prerequisites */

2008-08-20T15:37:41Z

‎Prerequisites

AAEmpty: /* Minimal learning outcomes */

2008-08-20T15:35:51Z

‎Minimal learning outcomes

AAEmpty: /* Minimal learning outcomes */

2008-08-20T15:33:38Z

‎Minimal learning outcomes

@@ Line 1: / Line 1: @@
-== Catalog Information ==
+{{db-g7}}
-−
-=== Title ===
-Algebra 1.
-−
-=== Credit Hours ===
-−
-−
-=== Prerequisite ===
-[[Math 372]] or equivalent.
-−
-=== Description ===
-−
-== Desired Learning Outcomes ==
-−
-=== Prerequisites ===
-[[Math 372]] is a prerequisite for this course. In particular, students should be familiar with the concepts of groups and rings, and they should understand constructions of quotient groups and quotient rings. By this point in their mathematical career, students should be skilled at proving theorems by themselves.
-−
-=== Minimal learning outcomes ===
-Students should achieve an advanced mastery of the topics listed below. This means that they should know all relevant definitions, correct statements and proofs of the major theorems (including their hypotheses and limitations), and examples and non-examples of the various concepts The students should be able to demonstrate their mastery by solving difficult problems related to these concepts, and by proving theorems about the below concepts, even if the theorems go beyond the material in the text.
-<div style="-moz-column-count:2; column-count:2;">
-#Group Theory
-#* Axioms and Examples
-#* Homomorphisms and Isomorphisms
-#* Subgroups
-#* Centralizers and Normalizers
-#* Cyclic gorups and subgroups
-#* Quotient Groups
-#* Lagrange's Theorem
-#* Isomorphism theorems
-#* Group Actions
-#* Permutation Representations
-#* Cayley's Theorem
-#* The class equation
-#* Sylow theorems
-#* Direct and semidirect products
-#* Solvable and Nilpotent groups
-#Ring Theory
-#* Definitions and Examples
-#* Homomorphisms and quotient rings
-#* Ideals
-#* Rings of fractions
-#* Chinese remainder theorem
-#* Euclidean Domains, PID's and UFD's
-#* Polynomial Rings
-#Module Theory
-#* Definitions and Examples
-#* Quotient modules and homomorphisms
-#* Direct sums
-#* Free Modules
-#* Tensor Products
-#* Exact Sequences
-#* Projectives, Injectives, Flats
-−
-</div>
-=== Textbooks ===
-−
-Possible textbooks for this course include (but are not limited to):
-−
-−
-−
-=== Additional topics ===
-Most additional topics in this course will be covered in the second course of the sequence, [[Math 672]].  Depending on time constraints, some or all of the module theory listed here may be moved to the beginning of [[Math 672]]
-−
-=== Courses for which this course is prerequisite ===
-−
-[[Category:Courses|671]]
-This course is a prerequisite for [[Math 672]], which is a prerequisite for [[Math 663]], [[Math 675R]], [[Math 676]],  and [[Math 677]],

← Older revision		Revision as of 16:41, 28 July 2010
Line 54:		Line 54:

	</div>		</div>
		+	=== Textbooks ===
		+
		+	Possible textbooks for this course include (but are not limited to):
		+
		+	*

	=== Additional topics ===		=== Additional topics ===

@@ Line 2: / Line 2: @@
 === Title ===
-Algebra.
+Algebra 1.
 === Credit Hours ===
@@ Line 8: / Line 8: @@
 === Prerequisite ===
-[[Math 372]].
+[[Math 372]] or equivalent.
 === Description ===

← Older revision		Revision as of 15:43, 20 August 2008
Line 61:		Line 61:

	[[Category:Courses\|671]]		[[Category:Courses\|671]]
−	This course is a prerequisite for [[Math 672]], which is a prerequisite for [[Math 663]], [[Math 675R], [[Math 676]], and [[Math 677]],	+	This course is a prerequisite for [[Math 672]], which is a prerequisite for [[Math 663]], [[Math 675R]], [[Math 676]], and [[Math 677]],

← Older revision		Revision as of 15:42, 20 August 2008
Line 61:		Line 61:

	[[Category:Courses\|671]]		[[Category:Courses\|671]]
		+	This course is a prerequisite for [[Math 672]], which is a prerequisite for [[Math 663]], [[Math 675R], [[Math 676]], and [[Math 677]],

← Older revision	Revision as of 22:32, 19 January 2011
(No difference)

← Older revision		Revision as of 15:37, 20 August 2008
Line 15:		Line 15:

	=== Prerequisites ===		=== Prerequisites ===
		+	[[Math 372]] is a prerequisite for this course. In particular, students should be familiar with the concepts of groups and rings, and they should understand constructions of quotient groups and quotient rings. By this point in their mathematical career, students should be skilled at proving theorems by themselves.

	=== Minimal learning outcomes ===		=== Minimal learning outcomes ===