Math 4320 - Schedule ◊ back to home page



Schedule — subject to change


Dates Topics
Jan 21 & 23 1 - 2.1 Sets, Functions
2 - 2.1 Equivalence relations. 2.2 Permutations
Jan 26, 28 & 30 3 - 2.2 Permutations
4 - 2.2 Permutations
5 - 2.2 Permutations
Feb 2, 4 & 6 6 - Finished up 2.2, started 2.3 Groups
7 - 2.3
8 - Will probably finish 2.3 Gropus and start 2.4 Subgroups
Feb 9, 11 & 13 9 - 2.4 Subgroups
10 - 2.4 Subgroups, culminating in Lagrange's Theorem
11 - 2.5 Homomorphisms
February Break Feb 14 – 17
Feb 18 & 20 12 - 2.5 Homomorphisms
13 - 2.6 Quotient groups (not on prelim!)
Feb 23, 25 & 27 14 - 2.6 Quotient groups (not on prelim!)
15 - 2.6 Quotient groups (not on prelim!)
16 - 2.6 Quotient groups (not on prelim!)
March 2, 4 & 6 17 - 2.6 Quotient groups (not on prelim!)
IN-CLASS PRELIM Part I on March 4
IN-CLASS PRELIM Part I on March 6
March 9, 11 & 13 18 - 2.7 Group actions
19 - 2.7 Group actions
20 - 2.7 Group actions
March 16, 18 & 20 21 - 2.7 Group actions
22 - 2.7 Group actions, Classification of Finite Simple Groups
23 - 2.8 Counting with groups
March 23, 25 & 27 24 - Sylow theorems (6.1 & 6.2 streamlined; Beachy & Blair, alternative reference here)
25 - Sylow theorems, finite abelian groups (6.1 & 6.2 streamlined)
26 - finitely generated abelian groups (6.1 & 6.2 streamlined)
Spring Break March 28 – April 5
April 6, 8 & 10 27 - 3.1 Commutative rings and subrings
28 - 3.2 Fields
29 - 3.3 Polynomial rings
April 13, 15 & 17 30 - 3.4 Homomorphisms
31 - 3.4 Homomorphisms
32 - 3.5 From numbers to polynomials
April 20, 22 & 24 33 - 3.5 From numbers to polynomials
34 - 3.5 From numbers to polynomials
35 - 3.6 Unique factorization for polynomials Types of rings summary
April 27, 29 & May 1 36 - 3.7 Irreducibility
37 - 3.7 Irreducibility
38 - 3.8 Quotient rings and finite fields
May 4 & 6 39 - 3.8 Quotient rings and finite fields
40 - The Geometry of Origami: How the ancient Japanese art triumphed over Euclid
Final Exam: Monday, May 18, 2015, 2pm-4:30pm, 253 Malott — comprehensive