Math 371 Home Page
Instructor:
Ching-Li Chai
Office: DRL 4N36, Ext. 8-8469.
Office Hours: Monday 2:00-3:00 pm, and by appointments
Email:chai@math.upenn.edu
Teaching Assistant:
Yao-Rui Yeo
Office: DRL 3W3, Ext. 215-746-7326
Office Hours: Tuesdays and Thursdays 5:00-6:00 pm.
Email:yeya@math.upenn.edu
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Notes and Homework Assignment
General Information about Math 371:
- Lectures are on Mondays and Fridays
from 10:30 to 12:00 a.m. in DRL 4C4
- Lab sessions are on Tuesdays
from 6:30 to 8:30 p.m. in DRL 3C2.
The lab is an integral part of this course; attendance is required.
- This is the second half of a year-long course on algebra, sequel to
Math370. A similar, but more in-depth, sequence is Math 502-Math 503.
- Rigor is a basic tenet of this course. The students are expected to
learn the language of rigorous mathematics, and to differentiate
complete proofs from arguments with gaps.
The ability to write coherent mathematical proofs is necessary
to achieve a passing grade .
- The materials include linear algebra and group theory,
corresponding to Chapters 2, 3, 4 and part of chapters 5, 6 of Artin's book.
Concrete examples will be emphasized.
- Text book: Algebra, by Michael Artin, 2nd edition.
There are many good textbooks on abstract algebra, such as
Herstein's "Topics in Algebra", "Abstract Algebra" by Dummit and
Foote, Jacobson's "Baic Algebra I", and the van der Waerden's
classic "Modern Algebra, I and II".
You can read any of them instead of Artin's book.
But it is important that you read and study (at least) one of them.
- Announcement, homework assignment, notes, sample problems,
solutions will all be posted on web. No hard copies will be distributed.
Please check this page frequently for the most updated information.
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Basic Ground Rules:
- The Final grade is based on: Homeworks and lab performance (45%), in-class exams (55%).
- Homeworks
- Homeworks will be assigned each week.
They are due in class the following week.
Follow this link to see the assigned problems.
- Your works should contain complete, rigorous and logically correct proofs.
(A reminder: The usual rules of English grammar also apply in
mathematical writing.)
- You are encourage to work in groups and discuss with each other. But the
work you hand in MUST BE YOUR OWN WRITE-UP.
- Homeworks will be spot graded and returned in the following
lab session. Answers to selected problems will be posted.
- LATE WORK will NEVER be accepted.
- Lab Sessions
- The lab session is an integral part of this course. Attendance is
required.
- Students will be required to present their works during the lab sessions.
This is a part of the training to construct and communicate
mathematically correct proofs.
- Homeworks will be collected during lab sessions.
- Here are the
Provost rules governing final examinations.
Note that don't really have a final exam; instead we have
two in-class exams.
Grading notes: At the end of the semester, everyone who has
not withdrawn from the class will get a grade.
Incompletes will not be given to avoid F's.
Semester Calendar:
- First Meeting: Friday, September 1, 2017
- Course selection period ends: Monday, September 18, 2017
- Fall break: Thursday-Sunday, October 5-8, 2017
- Drop period ends: Monday, October 9, 2017
- First in-class exam: Monday October 23, 2017
- Last day to withdraw: Friday November 10, 2017
- Last day of classes: Monday, December 11, 2017
- Reading period: Tuesday-Wednesday, December 12-13, 2017
- Second in-class Exam: Monday, December 11, 2017
Notes and Homework Assignment