Math 5b

 

Introduction to Abstract Algebra

Winter 2014-15

 

 

MWF 9:00 AM // 151 Sloan

 

Course Description | Policies | Textbooks | Lecture Notes | Handouts | Homework | Sections

 

Instructor:  Elena Mantovan, 262 Sloan, 626-395-4342, mantovan at caltech.edu
Office Hours: 
Monday 1-2pm

Lead TA:  Maria Nastasescu, 158 Sloan
TA Office Hours:  Monday 4-5.30pm

 


 

 

Feedback Form

 

Announcements

 

 

 

Homework sets due on Wednesdays at 1AM
Midterm due on Tuesday 2/10 at 1AM

Final due on MONDAY 3/16 at noon



Course Description

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The second term of Math 5 will be devoted to the study of rings and modules; this includes some linear algebra. The material corresponds roughly to Chapters 7 through 12 in the text for the course, Abstract Algebra by Dummit and Foote. High points include the proof of unique factorization in principal ideal domains and the description of
finitely generated modules over principal ideal domains.

 

Policies

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Grading: Roughly 40% Homework, 30% Midterm, and 30% Final.

Homework Policy: Students may work together on homework as long as each student writes up their own homework in their own words.

In solving homework problems you will wish to quote theorems and lemmas from class and the text. Results from the text in sections not yet covered cannot be quoted unless you supply your own proof. The same holds for results from other texts not covered in class.

Many of the problems which will be assigned this year in Math 5, also were assigned in previous years. Do not consult old solution sets in working on this years homework.

At most one late homework set will be accepted, and except in unusual circumstances, only if arrangements have been made with me in advance. Other than in exceptional circumstances, homework will not be accepted more than a week after the deadline.

 

Textbooks

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Abstract Algebra by D. S. Dummit and R.M. Foote, third edition, John Wiley 2004.
ISBN: 0-471-43334-9

 

Lecture Notes

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Date

Description


Class Syllabus (updated weekly on Wednesday)

 

Handouts

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Date

Description


Modules over PID

 

Homework

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Due Date

Homework 

Solutions

1/14/15
Set 1

1/21/15
Set 2

1/28/15
Set 3

2/04/15
Set 4

TUESDAY 2/10/15
Midterm (to be handed out in class on 2/4)

2/18/15
Set 5

2/25/15
Set 6

3/04/15
Set 7

3/11/15
Set 8

MON 3/16/15 at noon
Final

 


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