Abstract Algebra, Fall 2001

Text: Gallian 5th ed.

Lectures: Not from text

August 2001
Sun	Mon	Tue	Wed	Thu	Fri	Sat
			¹	²	³	⁴
⁵	⁶	⁷	⁸	⁹	¹⁰	¹¹
¹²	¹³	¹⁴	¹⁵	¹⁶	¹⁷	¹⁸
¹⁹	²⁰	²¹	²²	²³	²⁴	²⁵
²⁶	²⁷ Introductory Material Induction Matrices	²⁸ Matrices Part 2	²⁹	³⁰ Matrices Part 3	³¹ Groups: Definition

September 2001
Sun	Mon	Tue	Wed	Thu	Fri	Sat
						¹
²	³ Labor Day Holiday	⁴ Last Day Add, P/F Subgroups	⁵	⁶ Subgroups	⁷ Isomorphisms	⁸
⁹	¹⁰ Last Day Drop Isomorphisms Homomorphisms	¹¹ Homomorphisms	¹²	¹³ Equivalence Relations Partitions	¹⁴ Equivalence Relations Partitions Cosets	¹⁵
¹⁶	¹⁷ Cosets	¹⁸ Restrictions of Homomorphisms	¹⁹	²⁰ Restrictions Products of Groups	²¹ Products of Groups	²²
²³	²⁴ Quotient Groups	²⁵ Vector Spaces: Fields, Bases	²⁶	²⁷ Vector Spaces: Infinite Dimensions, Direct Sums Review	²⁸ Exam 1	²⁹
³⁰

October 2001
Sun	Mon	Tue	Wed	Thu	Fri	Sat
	¹ Linear Transformations: Matrix, Operators, Eigenvectors	² Linear Transformations: Orthogonal, Rotations, Diagonalization	³	⁴ Linear Transformations: Continue (or ODE's and Matrix Exponential)	⁵ Symmetry: Planar Figures	⁶
⁷	⁸ Symmetry: Planar Figures	⁹ Symmetry: Motions in the plane	¹⁰	¹¹ Symmetry: Motions in the plane	¹² Symmetry: Finite groups of motions	¹³
¹⁴	¹⁵Fall Break Day	¹⁶ Symmetry: Finite groups of motions	¹⁷	¹⁸ Symmetry: Discrete groups of motions	¹⁹ Symmetry: Discrete groups of motions	²⁰
²¹	²² Abstract Symmetry: Group Operations	²³ Abstract Symmetry: Group Operations	²⁴	²⁵ Symmetry: Operations on Cosets	²⁶ Symmetry: Operations on Cosets	²⁷
²⁸	²⁹ Symmetry: The Counting Formula	³⁰ Symmetry: The Counting Formula	³¹

November 2001
Sun	Mon	Tue	Wed	Thu	Fri	Sat
				¹ Operations of a group on itself	² Operations of a group on itself	³
⁴	⁵ Class equation of Icosahedral subgroup	⁶ Class equation of Icosahedral subgroup	⁷	⁸ No Class Review? Assessment Workshop	⁹ Preregistration Exam 2 Assessment Workshop	¹⁰ Assessment Workshop
¹¹	¹² Preregistration Operations on Subsets	¹³ Preregistration Operations on Subsets	¹⁴	¹⁵ Preregistration Sylow Theorems	¹⁶ Preregistration Sylow Theorems	¹⁷
¹⁸	¹⁹ Groups of order 12	²⁰ Groups of order 12	²¹	²²Thanksgiving Break	²³Thanksgiving Break	²⁴
²⁵	²⁶ Computation in the symmetric group	²⁷ Computation in the symmetric group	²⁸	²⁹ Free Groups	³⁰ Generators and Relations of Groups

December 2001
Sun	Mon	Tue	Wed	Thu	Fri	Sat
						¹
²	³ Generators and Relations of Groups Fundamental Group	⁴ Fundamental Group	⁵	⁶	⁷	⁸
⁹	¹⁰	¹¹	¹²	¹³	¹⁴	¹⁵
¹⁶	¹⁷	¹⁸	¹⁹	²⁰	²¹	²²
²³	²⁴	²⁵	²⁶	²⁷	²⁸	²⁹
³⁰	³¹