Abstract Algebra (WI21)
- Lectures: Monday, Wednesday, Friday, block E (1:10 - 2:15 p.m. EST)
- Course type: Remote with synchronous components (RSC)
- x-period: Tuesday, block EX (1:40 - 2:30 p.m. EST)
- Dates: 7 January 2021 - 10 March 2021
- Zoom Link: Use navigation bar. Send me an email if you have any problems.
- Instructor: John Voight
- E-mail: firstname.lastname@example.org
- Office hours: during x-hour, or please make an appointment by email!
- Course Web Page: https://canvas.dartmouth.edu/courses/44838 (or http://www.math.dartmouth.edu/~m81w21/ redirects)
- Prerequisites: Math 71, or Math 31 and permission. If you are unsure about your preparation, please talk to the instructor!
- Required Texts:
- Recommended Texts:
- Grading: Grade will be based on weekly homework and a takehome final exam (see Grading).
Course Catalogue Description:
This course provides a foundation in core areas in the theory of rings and fields. Specifically, it provides an introduction to commutative ring theory with a particular emphasis on polynomial rings and their applications to unique factorization and to finite and algebraic extensions of fields. The study of fields continues with an introduction to Galois Theory, including the fundamental theorem of Galois Theory and numerous applications.
By the end of this course, you should be able to:
- Understand of the basic structures of Galois theory: define terms, explain their significance, and apply them in context;
- Solve mathematical problems: utilize abstraction and think creatively, using Magma for computation.
The syllabus page shows a table-oriented view of the course schedule, and the basics of course grading. You can add any other comments, notes, or thoughts you have about the course structure, course policies or anything else.
To add some comments, click the "Edit" link at the top.