MATH 235 Algebra 1

Description
Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; group actions on sets.
Credits
3.0
Mathematics & Statistics

Past exam

Subject Semester

Fall 2012 Midterm

Fall 2012

Fall 2006 Final

Fall 2006

Fall 2007 Final

Fall 2007

Fall 2009 Final

Fall 2009

Fall 2005 Final

Fall 2005

Lecture notes

Subject Semester

Wednesday, September 5, 2012

Introduction to algebra

Fall 2012

Friday, September 7, 2012

On the need for complex numbers

Fall 2012

Monday, September 10, 2012

Introduction to set theory

Fall 2012

Monday, September 24, 2012

The fundamental theorem of arithmetic

Fall 2012

Wednesday, September 26, 2012

Applications of the FTA; introduction to relations

Fall 2012

Friday, September 28, 2012

All about equivalence relations

Fall 2012

Monday, October 1, 2012

Congruence classes

Fall 2012

Friday, October 12, 2012

Primality testing and applications to cryptography

Fall 2012

Wednesday, November 7, 2012

Ring homomorphisms

Fall 2012

Friday, November 23, 2012

Permutation groups and cycles

Fall 2012

Monday, December 3, 2012

Wrap-up for group theory

Fall 2012

Wednesday, December 5, 2012

Final review

Fall 2012

Wednesday, September 12, 2012

Under construction

Fall 2012

Friday, September 14, 2012

Under construction

Fall 2012

Monday, September 17, 2012

Under construction

Fall 2012

Wednesday, September 19, 2012

Under construction

Fall 2012

Friday, September 21, 2012

Under construction

Fall 2012

Wednesday, October 3, 2012

Under construction

Fall 2012

Friday, October 5, 2012

Under construction

Fall 2012

Wednesday, October 10, 2012

Under construction

Fall 2012

Monday, October 15, 2012

Under construction

Fall 2012

Wednesday, October 17, 2012

Under construction

Fall 2012

Friday, October 19, 2012

Under construction

Fall 2012

Monday, October 22, 2012

Under construction

Fall 2012

Wednesday, October 24, 2012

Midterm

Fall 2012

Friday, October 26, 2012

Under construction

Fall 2012

Monday, October 29, 2012

Under construction

Fall 2012

Wednesday, October 31, 2012

Under construction

Fall 2012

Friday, November 2, 2012

Under construction

Fall 2012

Monday, November 5, 2012

Under construction

Fall 2012

Friday, November 9, 2012

Under construction

Fall 2012

Monday, November 12, 2012

Under construction

Fall 2012

Wednesday, November 14, 2012

Under construction

Fall 2012

Friday, November 16, 2013

Under construction

Fall 2012

Monday, November 19, 2012

Under construction

Fall 2012

Wednesday, November 21, 2012

Under construction

Fall 2012

Monday, November 26, 2012

Under construction

Fall 2012

Wednesday, November 28, 2012

Under construction

Fall 2012

Friday, November 30, 2012

Under construction

Fall 2012

Summary

Subject Semester

Midterm review

Fall 2012

Practice midterm

Fall 2012

HTSEFP: Midterm

Fall 2012

Final review

Fall 2012

HTSEFP: Final

Fall 2012

Practice final

Fall 2012