Math 4720 & 5210 Section 101 Homepage
News & Announcements
XX/XX Notes to future self: My tentative schedule is wildly inaccurate.
11/30 Final Exam time (for final presentations) is Wednesday, December 8th.
Instead of 8am, let's meet at 9am. Also, I reserved WA 103A since that room has
a nicer technology set up.
11/15 Homework #9 [Source: (.tex)] is due Monday, November 22nd.
Instead of a Final Exam, we will have a final "project" of sorts. I would like everyone to
select an algebra topic that either we didn't cover or we just lightly skimmed. Study your
topic, create a handout (it should be at least one page front and back), and then you will
give a 10-15 minute presentation about your topic during the final exam period...or earlier.
The presentation could use slides (like tex slides or powerpoint) or just be a "chalk talk"
like I generally do in class. My Fall 2020 MAT 2110 page has some sample slides.
Past/suggested topics/ideas:
Music Theory related to Group Theory
Cryptography and Algebra
Ordered Rings
Cayley Graphs
Series - The Jordan-Holder Theorem - Nilpotent Groups
Solving the Cubic and Quartic Equations
Geometric Constructability
Lie Algebras
Wedderburn's Theorem
Wedderburn's Little Theorem
Artin-Schreier Theorem
Symmetric Functions
Grobner Bases and other Computer Algebra stuff
Algebraic Geometry - Like Hilbert's Nullstallensatz
Transcedence Bases
Pi and e are transcendental
Differential Algebra
Galois Theory
Group Representations and Characters
Tensor Products
Special Types of Modules - Flat modules, Projective modules, Injective modules etc.
Abstract Linear Algebra Topics - Like Dual Spaces, Infinite Dimensional Spaces,
Cannonical Forms, etc.
This semester...
===============================================================================
Eddie: Finite simple groups
Dylan: Cayley graphs
James: The Galois group
Anthony: Cryptography and algebra
11/05 Test #2 is due Friday, November 12th.
10/27 Homework #8 [Source: (.tex)] is due Wednesday, November 3rd.
10/25 Our next handout: Some Field Theory [Source: (.tex)]
10/20 Homework #7 [Source: (.tex)] is due Wednesday, October 27th.
10/18 Irreducibilty for Polynomials [Source: (.tex)]
10/13 Homework #6 [Source: (.tex)] is due Wednesday, October 20th.
10/06 Upcoming Handouts:
Factorization Theory (.pdf) [Source: (.tex)] and related Maple examples (.mw) [PDF Print: (.pdf)]
Chinese Remaindering (.pdf) [Source: (.tex)]
Partial Fraction Decompositions (.pdf)
09/28 Homework #5 [Source: (.tex)] is due Wednesday, October 6th.
09/24 Ring handouts:
Ring Definitions [Source: (.tex)]
Ring Examples [Source: (.tex)]
09/20 Test #1 is due Monday, September 27th.
09/13 Homework #4 [Source: (.tex)] is due Monday, September 20th.
09/10 Handouts:
Cauchy and Sylow Theorems [Source: (.tex)]
Uniqueness of a Simple Group of order 60 [Source: (.tex)]
09/03 Homework #3 [Source: (.tex)] is due Monday, September 13th.
08/27 Homework #2 [Source: (.tex)] is due Friday, September 3rd.
08/23 Handouts:
Examples of Groups Handout [Source: (.tex)]
Even vs. Odd & More [Source: (.tex)]
08/20 Homework #1 [Source: (.tex)] is due Friday, August 27th.
08/18 Free Groups [Source: (.tex)] handout.
06/24 Syllabus, tentative schedule, etc. are not yet posted.
Course Data
MAT 4720 Section 101 [Dual-Listed Undergrad Course]
MAT 5210 Section 101 [Dual-Listed Graduate Course]
MAT 5210 Section 375 [Web Version]
ABSTRACT ALGEBRA
Meeting Times MWF 10:00am-10:50am in WA 302
Final Exam is 8-10:30am on Wednesday, Dec. 8th in Walker 302.
MAT 4040 Section 103 [Corresponding Capstone]
--> Anyone doing the capstone should just talk to me before
or after class during the first week of classes.
Textbook: "A First Course in Abstract Algebra" (7th edition)
by John B. Fraleigh ISBN: 978-0201763904
Googling our textbook's title yields links to PDFs of the entire
text (of questionable legality). However, purchasing a copy is
not that costly. You can get an "international edition" through
AbeBooks.com for about $15.
AddAll.com
Bookfinder.com
AllBookStores.com
Possibly best price: Abebooks for $14.44 (free shipping)
Course Title & Description:
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MAT 4720 & 5210 - Abstract Algebra (3 credits)
A study of intermediate group theory, including group actions and the
Sylow theorems; and ring theory, including polynomial rings, factorizations
in principal ideal domains, and modules.
Prerequisite: MAT 3110 or permission of the instructor.
Dual-listed courses require senior standing;
juniors may enroll with permission of the department.
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Any questions about this class?
Send me an email at cookwj@appstate.edu