Math 4281 - Introduction to Modern Algebra - Fall 2019

Instructor: Anar Akhmedov 

Lectures: MWF 11.15 - 12.05pm in Lind Hall 217. 

E-mail: akhmedov@math.umn.edu 

Office Hours: MF 12.20pm - 1.35pm. My office is in room 355 of the Vincent Hall. 

Prerequisites: Math 2283 or Math 3283.  

Textbooks: A Book of Abstract Algebra, 2nd edition by Charles C. Pinter. 

Other Recommended Textbooks

Title 

Author(s), Publ. info 

Location 

A First Course in Abstract Algebra 

J. Fraleigh 

On reserve in math library

Abstract Algebra: An Introductory Course

G. Lee

On reserve in math library


Syllabus: Click here to download the course syllabus.

Course Outline: This is an introductory course on abstract algebra. We plan to cover the basic ideas of modern algebra. The topics in this course will include the basics of group, ring and field theory.

Web page: http://www.math.umn.edu/~akhmedov/MATH4281.html. 

Grading: The course grade will be based on weekly homework assignments, two in-class midterm and a comprehensive take-home final, with the following weights:

40% Homework 

30% = 15% + 15%  Two Midterms (Wednesday, October 9th,  and Friday, November 8th)


30% Final Exam (
Due on Thursday, December 19th)


Exams: There will be two in class midterms on Wednesday, October 9th,  and Friday, November 8th, and a comprehensive take home final examination, due on Thursday, December 19th. The exams worth 15% + 15% + 30% = 60% of the final course grade.

In class Midterm on Wednesday, October 9th and on Friday, November 8th. 

The Midterm Exam I will cover the Chapters 2, 3, 4, 5, 6, 7.

 
Midterm 1 Average Score: 18.5

The Midterm Exam II will cover the Chapters 8, 9, 10, 11, 12, 13, 14, 15

 
Midterm 2 Average Score: 14.8

Take Home Final will be posted here by Friday, December 13th)

Homework: There will be 10 homework assignments in this course, each worth 8 points. Homework will be a fundamental part of this course, and will be worth 80 points (40% of the course grade). Most of the homework problems will be from the class textbook, but I will be also assigning some additional homework problems. Please make sure to check the course website regularly for assignments and exams. The first homework assignment will be due on 09/18 at 11.15am. The grader will pick up the homework after the class. This means that NO LATE HOMEWORK CAN BE ACCEPTED. You may work together on homework, but everyone must turn in their own written solutions. Please staple your homework before handing it in. If you have questions about the homework, it is best to ask during my office hours.

Assignment 

Problems 

Homework 1 

due 09/18 


Charles Pinter, Chapter 2, Exercises 2.B 1, 2, 3, 4, 5, 6; Chapter 3, Exercises 3.B, 1, 4, 5;  3.C 1, 2, 3. Average Homework 1 Score: 7.22

Homework 2 

due 09/25 


Charles Pinter, Chapter 4, Exercises 4.C 1, 2, 3, 4, 6, 7; Chapter 5, Exercises 5.E 1, 2, 3, 4, Average Homework 2 Score: 7.58

Homework 3 

due 10/02 


Charles Pinter, Chapter 6, Exercises 6.C 1, 2, 3, 4, 5, 6; Chapter 7, 7.A 1, 2, 3, 4, 5; 7.F 1, 2, 3, 4  Average Homework 3 Score: 7.51

Homework 4 

due 10/09 (due date extended to 10/11) 


Charles Pinter, Chapter 8, Exercises 8.A 1, 2, 3, 4, 5, 6; 8.C, 1, 2, 3, 4; 8.H. 1, 2, 3   Average Homework 4 Score: 7.73

Homework 5 

due 10/16 


Charles Pinter, Chapter 9, Exercises 9.D 1, 2, 3, 4; 9.I 1, 2, 3, 4; Chapter 12, 12.D 1, 2, 3, 4   Average Homework 5 Score: 7.60

Homework 6 

due 10/23


Charles Pinter, Chapter 10, Exercises 10.D 1, 2, 3, 4, 5, 6; Chapter 11 11.E 1, 2, 3, 4, 5, 6, 7, 8, 9   Average Homework 6 Score: 7.66

Homework 7 

due 10/30 


Charles Pinter, Chapter 13, Exercises 13.C 1, 2, 3, 4, 5, 6; 13.D 1, 2, 3, 4, 5, 6; Chapter 13. H 1, 2, 3, 4, 5, 6, 7   Average Homework 7 Score: 6.72

Homework 8 

due 11/06 


Charles Pinter, Chapter 14, Exercises 14.A 1, 2, 3, 4, 5, 6; Exercises 14.E 1, 2, 3, 4, 5, 6; Chapter 15, Exercises 15.A 1, 2, 3, 4, 5, 6;   Average Homework 8 Score: 7.55

Homework 9 

due 11/13 


Charles Pinter, Chapter 16, Exercises 16.A 1, 2, 3, 4, 5; Exercises 16.C 1, 2, 3; Exercises 16.E 1, 2, 3; Exercises 16.F 1, 2, 3, 4, 5, 6  Average Homework 9 Score: 7.91

Homework 10 

due 11/20 


Charles Pinter, Chapter 17, Exercises 17.A 1, 2, 3, 4, 5; Exercises 17.E 1, 2, 3, 4, 5; Exercises 17.J 1, 2, 3, 4, 5, 6  Average Homework 10 Score: 7.74

Homework 11 

due 12/02 


Charles Pinter, Chapter 18 Exercises 18.B 1, 2, 3, 4, 5, 6; Exercises 18.D 1, 2, 3, 4, 5, 6; Exercises 18.I 1, 2, 3, 4, 5; Chapter 19 Exercises 19.B 1, 2, 3, 4  Average Homework 11 Score:

Homework 12 

due 12/09 


Charles Pinter, Chapters 20, 24, 26, 27 Exercises 20.B 1, 2, 3, 4, 5; Exercises 24.B 1, 2, 3, 4, 5, Exercises 26.D 1, 2, 3, 4, 5 Exercises 27.B 1, 2, 3, 4, 5  Average Homework 12 Score:



Homework 5 (Some solutions written by the grader) .

Homework 6 (Some solutions written by the grader) .

Homework 7 (Some solutions written by the grader) .

Homework 8 (Some solutions written by the grader) .

Homework 9 (Some solutions written by the grader) .

Homework 10 (Some solutions written by the grader) .