Topics in Algebra (SU21)
Course Info:
- Lectures: Monday, Wednesday, Friday, block F (2:35 - 3:40 p.m. EDT)
- Course type: Remote with synchronous components (RSC)
- x-period: Thursday, block FX (1:40 - 2:30 p.m. EDT)
- Dates: 24 June 2021 - 25 August 2021
- Zoom Link: Use navigation bar. Email if you have any problems.
- Instructor: John Voight
- E-mail: jvoight@gmail.com
- Office hours: Wednesdays, 4:30 - 5:30 p.m. EDT, during x-hour, or please make an appointment by email!
- Course Web Page: https://canvas.dartmouth.edu/courses/47791 (or http://www.math.dartmouth.edu/~m31x21/ redirects)
- Prerequisites: Math 22 or 24. If you are unsure about your preparation, please talk to the instructor!
- Required Text: Charles C. Pinter, A Book of Abstract Algebra, 2nd ed., 2010.
- Grading: Grade will be based on daily homework, weekly homework, two short exams, a final exam, and a final project (see Grading).
Course Catalogue Description:
This course will provide an introduction to fundamental algebraic structures, and may include significant applications. The majority of the course will consist of an introduction to the basic algebraic structures of groups and rings. Additional work will consist either of the development of further algebraic structures or applications of the previously developed theory to areas such as coding theory or crystallography.
As a result of the variable syllabus, this course may not serve as an adequate prerequisite for MATH 81. Students who contemplate taking MATH 81 should consider taking MATH 71 instead of this course.
Learning Outcomes:
By the end of this course, you should be able to:
- Understand of the basic structures of algebra: define terms, explain their significance, and apply them in context;
- Solve mathematical problems: utilize abstraction and think creatively;
- Write clear mathematical proofs: recognize and construct mathematically rigorous arguments.
Additional Pages:
Course Summary:
| Date | Details | Due |
|---|---|---|