*Concerns of Young Mathematicians* || Comments || Top Graduate Schools?

The Young Mathematicians' Network
Serving the Community of Young Mathematicians

Sections:

Front Page Career Diaries Editors Work and Family Life Grad Life Job Search Misc Paths to Math Research Teaching Undergrad Life Events Frequently Asked Questions News

Top Graduate Schools? | 15 comments (13 topical, 0 hidden)

[new] No groups and only polynomial rings. (none / 0) (#15)
by solarmist on Mon Jul 31, 2006 at 10:13:23 PM PDT

We covered: (and this is week of class from the syllabus)
Symbolic Logic
Mathematical Statements
Set Notation
Functions
Binary Operations
Algebraic Structures (Defn of Ring, Group and Field)
Axioms of Ingergers I & II
Divisibility of Integers
GCD
Modular Arithmatic I & II
Arithmatic of Polynomials
Divisibility of Polynomials
Zeros of Polynomials

The material matches Gilbert/Gilbert's Elements of Abstract Algebra Chapters I (Fundamentals), II(The Integers), and most of VIII (Polynomials).

So, we really didn't do anything with groups or rings.

This is opposed to the course I'm taking at CSU this summer which covers all of chapters I-IV (Fundamentals, Groups, The Symmetric Group, And Ring Theory) of Herstein's Abstract Algebra. Which goes as far as too cover The first three isomorphism theorems, and Sylow's theorm.

The more I learn the more I realize how little I truly know.
[ Parent ]

Top Graduate Schools? | 15 comments (13 topical, 0 hidden)

Display: Sort:

Menu

create account
FAQ
Search
Recent Comments

Login

Make a new account

Username:

Password:

All trademarks and copyrights on this page are owned by their respective companies. Comments are owned by the Poster. The Rest

create account | faq | search