# Math 330. Modern Algebra I

Fall 2014

• Instructor:         Enrique Treviño

• Lectures:           MWF 2:30 - 3:50 pm in Young Hall 423

• Office Hours:    MW between 10 to 11:30 am. You can also arrange a meeting by appointment.

• Office:               Young Hall 105

• Email:

• Phone Ext.:        #6187

Announcements

Midterm 3 and its
Solutions.

Homework 10 is due on Wednesday December 10, 2014:
Solve the following exercises from the 2013th edition of the textbook:
Chapter 15: 1, 3, 4, 5, 7, 16.
Chapter 16: 1, 3, 11, 12, 17, 30.
The problems you have to turn in (written in LaTeX) are:
Chapter 15: 1, 3, 5, 16.
Chapter 16: 1, 3(a,b,c), 12, 30.
Solutions.
(NOTE: The solutions only include the solutions to the problems not to be turned in. You can also access the tex file by clicking on the following link to your computer).
Complete Solutions to HW 10 including the problems to turn in.

Homework 9 is due on Monday November 24, 2014:
Solve the following exercises from the 2013th edition of the textbook:
Chapter 14: 2, 3, 4, 5, 6, 20, 25.
The problems you have to turn in (written in LaTeX) are:
Chapter 14: 2, 3, 4, 5, 6(bc), 20.
Solutions.
(NOTE: The solutions only include the solutions to the problems not to be turned in. You can also access the tex file by clicking on the following link to your computer).
Complete Solutions to HW 9 including the problems to turn in.

Homework 8 is due on Wednesday November 19, 2014:
Solve the following exercises from the 2013th edition of the textbook:
Chapter 11: 4, 5, 6, 7, 9, 10, 11, 12, 17.
The problems you have to turn in (written in LaTeX) are:
Chapter 11: 4, 6, 7, 10, 12, 17.
Solutions.
(NOTE: The solutions only include the solutions to the problems not to be turned in. You can also access the tex file by clicking on the following link to your computer).
Complete Solutions to HW 8 including the problems to turn in.

Homework 7 is due on Wednesday November 12, 2014:
Solve the following exercises from the 2013th edition of the textbook:
Chapter 10: 1, 2, 5, 9, 10, 11, 13.
The problems you have to turn in (written in LaTeX) are:
Chapter 10: 1 (b,c,e), 2, 9, 10, 11, 13(a,c).
Solutions.
(NOTE: The solutions only include the solutions to the problems not to be turned in. You can also access the tex file by clicking on the following link to your computer).
Complete Solutions to HW 7 including the problems to turn in.

The first midterm is on Wednesday September 24.
Practice Exam 1 is a set of 10 problems that can give you an idea of the length of the midterm and the type of questions I might ask. The midterm will be shorter than the practice exam.
Solutions to the Practice Exam.

Textbook

Abstract Algebra: Theory and Applications by Tom Judson.

The textbook is an open-source book, you can download free at the textbook's website. If you prefer a hardcover version of the book, the book can be ordered at the Lake Forest bookstore or it can be ordered online at Amazon or at Barnes and Noble for the inexpensive price of \$20.

Another book you can use as reference is Visual Group Theory by Nathan Carter. The library has an ebook copy of this book.

The following books have been placed on reserve in the library for more references:
Abstract Algebra by Dummit and Foote and
A First course in Abstract Algebra by Fraleigh

Topics we will cover

We will cover basic group theory, i.e., groups, subgroups, cyclic groups, permutation groups, cosets, Lagrange's theorem, Euler's theorem, group actions, Sylow's theorems. If we have time we'll also cover some basic ring theory.

The course grade will be based on:
Homework 20%,
Midterms 45% (15% each),
Final Exam 35%.

Homework

There will be written homework roughly every week. The most recent homework will be posted in the announcements and a copy of all homeworks can be accessed here. Each homework assignment will consist of roughly 10 problems. Each student will submit 2 or 3 problems each week written in LaTeX. Collaboration on the homework is permitted (and encouraged), however the solutions turned in must be written individually.

Exams

There will be three midterms and one final exam. On the midterms and the final exam you must work on the problems on your own. No collaboration permitted in the exams.

The dates are:

• The first midterm will be on Wednesday September 24.
• The second midterm will be on Wednesday October 29.
• The third midterm will be on Wednesday December 3.
• The final exam will be on Monday December 15 from 1:30pm to 4:30pm.

Attendance

Students are expected to come to every lecture and every exam.

If the dates of the exams conflict with Lake Forest approved events, inform me as soon as possible.

Accommodations Statement

If you believe that you need accommodations for a disability, please consult with The Learning and Teaching Center. Since accommodations may require early planning and are not retroactive, please contact the center as soon as possible. For details about the services for students with disabilities and the accomodations process, visit http://www.lakeforest.edu/academics/resources/disability/.

You are also welcome to contact me privately to discuss your academic needs. However, all disability-related accommodations must be arranged through Teryn Robinson at the Learning and Teaching Center.