Math 5a 

Introduction
to
Abstract
Algebra 

Fall 201415  

Instructor:
Pei Yu Tsai,
282 Sloan,
6263954350, pytsai at caltech.edu 



Exams are available on December 15 at 3 pm in Math 5 return box. I will be available in my office 12/15 35 pm, 12/16 45 pm. (Solution has been uploaded.) 
The final will be takehome and openbook (only textbook, class note, homework and homework solutions are allowed). It covers Chapter 35 of Dummit&Foote (Section 4.4 not included). You will have 6 hours to complete your solution in a standard bluebook. 
Final Exam Due 3 pm on Thursday, December 11 
You are allowed to have one break up to an hour after the first three hours. Other short breaks for water and restroom are allowed but are counted toward the six hours exam time. 
Maria Review Session on Sunday 1pm. Location: Sloan 151. 
Office Hour in groups (of any order) by appointment are welcome. 

In Ma5a we will discuss groups. This material comes from Chapters 15 of the text. We will spend the first half of the term on basics, such as the introductory material in Chapter 0 of the text, the definition of a "group", examples of groups, basic properties of groups, subgroups, homomorphisms, and factor groups. In the second half of the term we will talk about permutation groups, semidirect products, and Sylow's Theorem. 

Grading: 50% Homework, 25% Midterm, and 25% Final. Homework
Policy: Students
may work together on homework as long as each student writes up their
own homework in their own words. Homework
should be handed in into the Ma5a mailbox next to the Math department
office on the second floor of Sloan. 

Abstract
Algebra by D.
S. Dummit and R.M. Foote, third edition, John Wiley 2004. 





