Math 31 Homework Schedule

I have learned throughout my life as a composer chiefly through my mistakes and
pursuits of false assumptions, not by my exposure to fonts of wisdom and knowledge.
Igor Stravinsky

Class participation is an essential part of the course; mathematics is not a spectator sport. For this section, class participation consists of reading assignments, quizzes, and homework problems.

Reading Assignments

Reading assignments will be given daily and should be read before coming to class. For some of my thoughts on reading mathematics texts, click here.

Quizzes

Quizzes will be administered at the end of class on Monday covering material presented in lecture the previous week. They will consist of a couple of questions and should only take 10 - 15 minutes to complete. If you do the homework for the lectures given the previous week (including Friday's homework), then you should do fine on the quizzes.

Homework Problems

Homework problems will be assigned daily and collected the following class period. Homework will be turned in and picked up from the boxes outside of 103 Bradley. Late homework will not be accepted and a grade of 0 will be assigned (of course, exceptions can be made for emergencies such as illness, death, natural disasters...).

Your homework will be corrected by a class grader and returned as soon as possible. The solutions you present must be coherent and written in complete sentences whenever possible. Simply stating answers or turning in garbled, unclear solutions will result in a grade of 0. Homework will be graded on a 3 point scale: 3 = correct, 2 = mostly correct, 1 = mostly incorrect, 0 = missing.

The Schedule

On the remainder of this page you will find schedule for the course, including reading assignments, quiz dates and homework assignments. There is also some information concerning the exams, which will be updated periodically to include lists of review problems and late-breaking news.

The solutions are pdf files which you will need Adobe Acrobat Reader to read. You can obtain a copy of Adobe Acrobat Reader by connecting to the Public server and looking in the "Core Dartmouth Software" folder.

Date Lecture/Quiz Homework
1/4 Lecture 1 on Chapter 0, Preliminaries Homework 1 due 1/6
Solutions for HW 1
1/6 Lecture 2 on Chapter 2, Groups Homework 2 due 1/8
Solutions for HW 2
1/8 Lecture 3 on Chapter 3, Finite Groups & Subgroups Homework 3 due 1/11
Solutions for HW 3
1/11 Lecture 4 on Ch 1, Dihedral Groups & Ch 3, Subgroups Homework 4 due 1/13
Quiz 1 on Ch 0, 2, 3 Solutions for HW 4
1/13 Lecture 5 on Chapter 4, Cyclic Groups Homework 5 due 1/20
1/15 Lecture 6 on Chapter 4, Cyclic Groups Solutions for HW 5
1/20 Lecture 7 on Chapter 5, Permutation Groups Homework 7 due 1/22
Quiz 2 on Ch 1, 3, 4
1/21 Lecture 8 on Chapter 5, Permutation Groups Solutions for HW 7
1/22 Lecture 9 on Chapter 6, Isomorphisms Homework 9 due 1/25
Solutions for HW 9
1/25 Lecture 10 on Ch 6, Isomorphisms Homework 10 due 1/27
Quiz 3 on Ch 5, 6 Solutions for HW 10
1/27 Lecture 11 on Ch 7, Cosets and Lagrange's Theorem Homework 11 due 1/29
Solutions for HW 11
1/29 Lecture 12 on Ch 7, Cosets and Lagrange's Theorem Homework 12 due 2/1
Solutions for HW 12
2/1 Lecture 13 on Ch 8, External Direct Products Homework 13 due 2/3
Quiz 4 on Ch 6, 7 Solutions for HW 13
2/3 Lecture 14 on Ch 8, External Direct Products
and Ch 9, Normal Subgroups
Homework 14 due 2/8
2/5 Lecture 15 on Ch 9, Normal Subgroups Solutions for HW 14
2/8 Lecture 16 on Ch 9, Factor Groups Homework 16 due 2/10
Quiz 5 on Ch 8,9 Solutions for HW 16
2/10 Lecture 17 on Ch 10, Homomorphisms Homework 17 due 2/15
2/11 Lecture 18 on Ch 10, Homomorphisms Solutions for HW 17
2/15 Lecture 19 on Ch 10, Homomorphisms Homework 19 due 2/17
Solutions for HW 19
2/17 Lecture 20 on check digits Homework 20 due 2/19
Quiz 6 on Ch 9,10 Solutions for HW 20
2/19 Lecture 21 on Ch 29 Symmetry and Counting Homework 21 due 2/22
Solutions for HW 21
2/22 Lecture 22 on Ch 29 Symmetry and Counting Homework 22 due 2/24
Quiz 7 on Ch 10, check digits Solutions for HW 22
2/24 Lecture 23 on Ch 12 Introduction to Rings Homework 23 due 2/26
Solutions for HW 23
2/26 Lecture 24 on Ch 13 Integral Domains Homework 24 due 3/1
Solutions for HW 24
3/1 Lecture 25 on Ch 14 Ideals and Factor Rings Homework 25 due 3/3
Quiz 8 on Ch 29, 12, 13, the last one! Solutions for HW 25
3/3 Lecture 26 on Ch 14 Ideals and Factor Rings Homework 26 due 3/5
Solutions for HW 26
3/5 Lecture 27 on Ch 15 Ring Homomorphisms Suggested HW 27
3/8 Lecture 28 on Ch 15 Ring Homomorphisms Solutions for HW 27

Answer Key for Midterm Exam

Final Exam

The final exam is on Monday, March 15th from 12:00 - 2:00 pm in 104 Bradley. The exam is worth 25% of your final grade and is comprehensive, although it will be weighted towards the last half of the term; that is, approximately one-third of the exam will be on material from Chapters 1 through 7 and two-thirds of the exam will be on material we have discussed from Chapters 8 - 15.