Math 371,
Spring 2019
Algebra, Final exam: 05/08, 12pm-2pm at DRL A2
Office hours before the final : 4/30 1:30-2:30pm, 5/3 9-10am, 5/6 1-4pm, 5/7 1-4pm, 5/8 10-11:30am
- Instructor: Chenglong Yu
- E-mail:
yucl18 {at} math.upenn.edu
,
- Office:
DRL 3N8A,
- Office hours: TR at 1:30-2:30pm and by appointment.
- TA: Man Cheung Tsui, DRL 4C15,
mancheun {at} math.upenn.edu
.
- TA's office hour: MW at 5:30-6:30pm.
Course structure:
- Lectures:
TR 3-4:30pm, DRL 3C2.
- Labs: M or W 6:30-8:30pm, DRL 2C4.
- Textbook:
- "Algebra" (second edition), by M. Artin.
- "A first course in abstract algebra", by John B. Fraleigh.
- Additional handouts to be posted on course website.
- Homework: Homework is very important for this class. Homework will be posted on this website once a week, and due the following Thursday in class.
You are encouraged to work in groups on your homework, or discuss with the TA and me. But you should write up and hand in your homework individually.
- Exams: There are two midterm exams in class, 02/19 and 04/02. The final exam will be 05/08, 12pm-2pm at DRL A2. Please let me know if you have time conflicts.
- Grading: The grades are based on 5% Lab + 20% Homework + 20% first midterm +20% second midterm + 35% final exam.
Syllabus: This is the second half of a year long course in algebra, with emphasis on topics concerning groups, rings and fields.
We will cover symmetry (chapter 6), advanced group theory including the Sylow's theorems (chapter 7), some fundamentals on rings and modules (chapter 11, 12, 14), basics on fields and Galois theory (chapter 15, 16) and
some optional topics including Lie group (chapter 9), representation theory (chapter 10). The basics of linear algebra (as covered in Math 370) will be assumed.
The goal of the class is to develop intuition from concrete examples and apply the power of abstraction to solve problems.
Homework assignments
- Homework 1, Solutions to Homework 1
- Homework 2, Solutions to Homework 2
- Homework 3, Solutions to Homework 3
- Homework 4, Solutions to Homework 4
- Homework 5, Solutions to Homework 5
- Homework 6, Solutions to Homework 6
- Homework 7, Solutions to Homework 7
- Homework 8, Solutions to Homework 8
- Homework 9, Solutions to Homework 9
- Homework 10, Solutions to Homework 10
- Homework 11, Solutions to Homework 11
- Homework 12, Solutions to Homework 12