Mathematics 113,
Fall, 2013

Lecture 1: TuTh 11AM12:30PM,
2 Evans

Lecture 3: TuTh 3:405PM,
107 GPB


Textbook
Abstract
Algebra
(third edition)
by
David S. Dummit
and
Richard M. Foote
Rough course outline
 Group theory: sections 0.3 through 5.2
 Ring theory: sections 7.1 through 9.5
 Field theory: sections 13.1 and 13.2
This outline is subject to continual revision.
Examinations
My exams tend
to begin with some text
along the following lines:
Please put away all books, calculators, cell phones and other
devices. You may consult a single twosided sheet of notes.
Please write carefully and clearly in complete sentences.
Explain what you are doing: the paper you hand
in will be your only representative when your work is graded.
As in all upperdivision courses, it is important that solutions be
written in full English sentences and
with ample explanations of
what's going on.
 First midterm exam,
Thursday, September 26, 2013, in class:
morning questions
(mean=12.9 out of 30, standard deviation=6.6),
afternoon questions
(mean=13.9 out of 30, standard deviation=6.2),
morning solution sketches,
afternoon solution sketches.
 Last
midterm exam, Thursday, October 31, 2013, in class:
morning questions
(mean=16.5 out of 30, standard deviation=6.2),
afternoon questions
(mean=11.4 out of 30, standard deviation=5.9),
morning solution sketches,
afternoon solution sketches.
 Final
examination for Lecture 1,
Wednesday, December 18, 2013 811AM:
questions,
questions and solutions.
Mean was 17.94 out of 40; standard deviation was 8.70.
 Final examination for Lecture 3,
Friday, December 20, 2013 710PM:
questions,
questions and solutions.
Mean was 19.27 out of 40; standard deviation was 8.10.
Please do not plan travel on the dates of these exams.
If you believe that you have a conflicting obligation because of an
intercollegiate sport or other
extracurricular activity,
please read
these
guidelines
carefully.
If you are a DSP student,
let me know ASAP, even if an official accommodation letter has not yet
been generated.
Very old practice exams
Course grades
will be based on a composite numerical score
that is intended to weight
the course components roughly as follows:
midterm exams 17% each, homework
20%, final exam 46%.
Is it Time to end letter grades?
According to the
College
academic calendar, the last day to add or drop Math 113 is
Friday, September 27, i.e., the day after the first midterm.
The last day to change your grading option is Friday, November 1, i.e.,
the day after the second midterm.
Incomplete
grades will be assigned only to students for whom a documented
medical, personal or family emergency precludes completion of the course.
Students receiving such grades are required to have been doing work
of passing quality up to the intervention of the emergency.
You can calculate
grade distribution for Math 113 through Fall, 2012
from
schedulebuilder.
(While visiting this site, you can check out my
ninjacourses
ratings.)
As far as I can determine,
the grade distribution
has been as follows: 36.6% A, 30.6% B, 18.8% C, 14.0% D/F.
I suspect that many of the F grades were assigned to students
who "dropped" their courses
after the official add/drop deadline.
Homework
Homework will be due pretty much every week, and usually on Thursdays.
(There may be perturbations because of midterm exams and the Thanksgiving
break.)
The main point of the assignments is for you to internalize the
concepts that we'll be discussing and for you to learn how to write
mathematics in clear English sentences. It perfectly OK to
discuss problems with
other students (and with your instructor!),
but you should write out your solution alone after
you have figured out how a problem should go.
If you choose to cut corners (e.g., by following closely a solution
that someone else has written out), you will be shortchanging yourself.
 Assignment due September 5, 2013:
 Read Chapter 0 carefully

§1.1, problems 1(a,c,e), 5, 6(a, b, e, f), 7, 8, 9, 14, 21, 33

§1.2, problem 1(b)
 Assignment due September 12, 2013:

§1.2, problems 3, 5

§1.3, problems 2 and 3
(for the permutations in problem 2), 5, 6, 8, 9 (a,b),
13, 14

§1.4, problem 7

§1.6, problems 4, 5, 6, 7, 13
 Assignment due September 19, 2013:
 §1.6, problems 19, 20, 23, 25
 §1.7, problems 2, 3, 4, 8, 12, 15, 16
 §1.7, problems 18, 19 (done in class)
 Assignment due September 26, 2013:
 §1.1, problems 11, 12, 22
 §1.3, problems 10, 11
 §1.5, problem 3
 §1.6, problems 9, 14, 21
 §1.7, problem 7 (is it correct for all V?)
 Assignment due October 3, 2013:
 §1.4, problem 11
 §2.1, problems 5, 6, 7, 8, 11, 12, 14
 §2.2, problem 14
 §2.3, problems 20, 21
 Assignment due October 10, 2013:
 §2.3, problems 6, 7, 11, 13, 15
 §3.1, problems 3, 10, 12, 14, 34, 36
 §3.2, problem 4
 Assignment due October 17, 2013:
 §3.3, problems 7, 8
 §3.4, problems 1, 4
 §3.5, problems 3, 4, 5, 6, 12, 13
 Assignment due October 24, 2013:
 §4.1, problems 1, 2, 3, 4, 7, 8, 10
 §4.2, problems 4, 6, 8
 Show that a finite group with exactly two conjugacy classes has
exactly two elements.
 Assignment due October 31, 2013
 Assignment due November 7, 2013:
 §4.3, problems 6, 17, 21 (which seems to use problems 19 and 20)
 §4.4, problems 6, 18
 §4.5, problems 9, 13, 15, 16, 24
 Assignment due November 14, 2013:
 §7.1, problems 1, 3, 6, 7, 8, 13, 14, 26
 §7.2, problems 1, 2, 3, 5
 Assignment due November 21, 2013:
 §7.3, problems 1, 3, 5, 7, 12
 §7.4, problems 6, 7, 9, 10, 11, 13
Happy Thanksgiving!
 Assignment due on December 5, 2013:
 §7.5, problems 3, 4
 §7.6, problems 3, 7
 §8.1, problems 3, 6, 7, 8 (part a only)
 §8.2, problems 4, 5
 §8.3, problems 1, 3, 4, 5
You are welcome to read the student evaluations for this course:
morning,
afternoon.
The morning students liked me more than the afternoon students.
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