Math 672: Algebra 2. - Revision history

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

2014-09-29T20:03:11Z

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

Ls5 at 20:01, 29 September 2014

2014-09-29T20:01:31Z

AAEmpty: moved Math 672 to Math 672: Algebra 2.

2011-01-19T22:32:34Z

moved Math 672 to Math 672: Algebra 2.

Cpg: /* Minimal learning outcomes */

2010-07-28T16:41:12Z

‎Minimal learning outcomes

Cpg at 18:30, 4 June 2009

2009-06-04T18:30:57Z

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

2008-08-20T15:56:04Z

‎Courses for which this course is prerequisite

AAEmpty: /* Additional topics */

2008-08-20T15:55:22Z

‎Additional topics

AAEmpty: /* Minimal learning outcomes */

2008-08-20T15:53:04Z

‎Minimal learning outcomes

AAEmpty: /* Prerequisites */

2008-08-20T15:46:42Z

‎Prerequisites

Cpg at 18:29, 9 May 2008

2008-05-09T18:29:55Z

@@ Line 1: / Line 1: @@
-== Catalog Information ==
+{{db-g7}}
-−
-=== Title ===
-Algebra 3.
-−
-=== Credit Hours ===
-−
-−
-=== Prerequisite ===
-[[Math 572]] or equivalent.
-−
-=== Description ===
-−
-== Desired Learning Outcomes ==
-−
-=== Prerequisites ===
-[[Math 572]] is a prerequisite for this course.
-−
-=== Minimal learning outcomes ===
-−
-−
-−
-</div>
-=== Textbooks ===
-−
-Possible textbooks for this course include (but are not limited to):
-−
-−
-−
-=== Additional topics ===
-−
-−
-−
-=== Courses for which this course is prerequisite ===
-−
-[[Category:Courses|673]]
-This course is a prerequisite for [[Math 674]].

@@ Line 2: / Line 2: @@
 === Title ===
-Algebra 2.
+Algebra 3.
 === Credit Hours ===
@@ Line 8: / Line 8: @@
 === Prerequisite ===
-[[Math 671]].
+[[Math 572]] or equivalent.
 === Description ===
@@ Line 15: / Line 15: @@
 === Prerequisites ===
-[[Math 671]] is a prerequisite for this course.  In particular, students should have a deep knowledge of groups, rings, and modules.  Students should be able to prove difficult theorems on their own.
+[[Math 572]] is a prerequisite for this course.
 === 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;">
-#Linear Algebra
-#*Basic theory (including infinite dimensional spaces)
-#*Dual vector spaces
-#*Determinants
-#Modules over PID's
-#*Fundamental Theorem
-#*Applications to Rational and Jordan Canonical Forms of matrices
-#Galois Theory
-#*Field Extensions
-#*Algebraic, separable, and inseparable extensions
-#*Splitting fields
-#*Algebraic closures
-#*Cyclotomic extensions
-#*Fundamental Theorem of Galois theory
-#*Finite fields and their Galois groups
-#*Composite extensions
-#*Simple extensions
-#*Kronecker-Weber Theorem (Statement)
-#*Galois groups of polynomials
-#*Transcendental extensions
-#*Infinite Galois groups
@@ Line 51: / Line 29: @@
 === Additional topics ===
-If students in the class have not seen module theory, the module theory in [[Math 671]] should be considered a requirement.  As time permits, additional topics may be covered.  These may include Group representation theory, commutative algebra, homological algebra, lie algebras, or other topics chosen by the instructor.
 === Courses for which this course is prerequisite ===
-[[Category:Courses|672]]
+[[Category:Courses|673]]
-This course is a prerequisite for [[Math 675R]], [[Math 676]], and [[Math 677]].
+This course is a prerequisite for [[Math 674]].

← Older revision		Revision as of 16:41, 28 July 2010
Line 44:		Line 44:

	</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 2.
 === Credit Hours ===

← Older revision		Revision as of 15:56, 20 August 2008
Line 51:		Line 51:

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

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

← Older revision		Revision as of 15:46, 20 August 2008
Line 15:		Line 15:

	=== Prerequisites ===		=== Prerequisites ===
		+	[[Math 671]] is a prerequisite for this course. In particular, students should have a deep knowledge of groups, rings, and modules. Students should be able to prove difficult theorems on their own.

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