Math 415H: Modern Algebra I Honors
Instructor:
Sarah Witherspoon
Email: sjw AT math.tamu.edu
Office and hours: Milner 322, TR 1:30-3:00 and by appointment
Course web address:
/~sjw/math415.html
Class meetings: MW 4:10-5:25 pm in ZACH 333A
Text: Fraleigh, A First Course in Abstract Algebra,
7th ed., Addison-Wesley
Course description
3.0 credits. Groups, rings, fields.
We will cover most of the first
four chapters in the text.
Please make sure that you are familiar with Section 0; it will
not be covered in class as it is material from Math 220.
Course requirements and grades
Course prerequisite: Math 222.
Homework will be assigned approximately once per week, and is worth
a total of 100 points.
Two in-class exams are worth 100 points each, and
the final exam is worth 200 points.
Grades are assigned as follows based on your average:
A (90-100%), B (80-89%), C (70-79%), D (60-69%),
F (0-59%).
Learning objectives
The objectives are to learn some beginning topics in
modern abstract algebra: groups, subgroups, cosets, quotient groups,
isomorphism theorems for groups,
rings.
Weekly Schedule (tentative)
Week 1 (8/26-8/30): Sections 4, 5
Week 2 (9/2-9/6): 1, 2, 3
Frontiers in Mathematics Lecture, Monday 9/2, 4-5 pm
Professor Persi Diaconis "The simplest math: an introduction to additive combinatorics"
/seminars/frontiers
Week 3 (9/9-9/13): 6, 7, 8
Week 4 (9/16-9/20): 9, 10
Week 5 (9/23-9/27): Exam I (Wednesday 9/25)
Week 6 (9/30-10/4): 11, 12
Week 7 (10/7-10/11): 13, 14
Week 8 (10/14-10/18): 14, 15
Week 9 (10/21-10/25): 16, 17
Week 10 (10/28-11/1): Exam II (Wednesday 10/30)
Week 11 (11/4-11/8): 18, 19
Week 12 (11/11-11/15): 20, 21, 22
Week 13 (11/18-11/22): 23, 24
Week 14 (11/25-11/27): 25
FINAL EXAM: Monday, 12/9, 3:30-5:30 pm, in our regular classroom
Homework Assignments will be given
approximately once each week, and usually will be due the following
week.
They must be turned in on time.
Working together on homework is encouraged, but
each of you should write up your own solutions.
Attendance Regular attendance is expected but is not
officially recorded. Please
let me know by e-mail, phone, or in person if you must miss two or
more class days in a row.
Likewise if you must arrive late or leave early; this is disruptive
and should be avoided unless absolutely necessary.
Make-up policy
Make-ups for missed homework and exams will only be allowed for a
university approved excuse in writing. Wherever possible, you should
inform me prior to missing an exam. Consistent with University Student
Rules, students are required to notify an instructor by the end of the
second working day after an absence. Otherwise, they forfeit their
rights to a make-up.
Academic Integrity Statement
"An Aggie does not lie, cheat, or steal or tolerate
those who do." The Aggie Code of Honor is an effort
to unify the aims of all Texas A&M men and women toward a high code
of ethics and personal dignity. For most, living under this code
will be no problem, as it asks nothing of a person that is beyond reason.
It only calls for honesty and integrity, characteristics that
Aggies have always exemplified. The Aggie Code of Honor functions as a
symbol to all Aggies, promoting understanding and loyalty to truth and
confidence in each other. Violations of the Aggie Honor Code and the
handling of such violations are discussed at the web site
http://aggiehonor.tamu.edu.
ADA Statement The Americans with Disabilities Act
(ADA) is a federal anti-discrimination statute that provides comprehensive
civil rights protection for persons with diabilities. Among other
things, this legislation requires that all students with disabilities
be guaranteed a learning environment that provides for reasonable
accomodations of their disabilities. If you believe you have a disability
requiring an accomodation, please contact the Department of Student
Life Services for Students with Disabilities in room 118 of
Cain Hall or call 845-1637.
Copyright Statement Please note that all written
and web materials for this course are protected by copyright laws.
You may xerox (or download) one copy for your own use, but multiple
copies or the sale of any of these materials
is strictly prohibited.
Homework Assignment 1: due Wednesday, 9/4
Section 4: 4, 5, 13, 16, 18, 19, 29, 32
5: 8, 10, 13, 20, 23, 34, 36, 51, 54