Spring 2021 - MATH 440 D100
Galois Theory (3)
Class Number: 3548
Delivery Method: Remote
Course Times + Location:
Mo, We, Fr 10:30 AM – 11:20 AM
REMOTE LEARNING, Burnaby
Exam Times + Location:
Apr 26, 2021
3:30 PM – 6:30 PM
REMOTE LEARNING, Burnaby
Prerequisites:MATH 340 or 332.
An introduction to the theory of fields, with emphasis on Galois theory. Quantitative.
This course will be delivered online. You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.
You will need a camera to take photographs of your work. A phone is acceptable
I. Extension fields
- Degree of an extension
- Finite and algebraic extensions
- Algebraic Closures
- Splitting fields and normal extensions
- Separable extensions
- Galois groups
- The Galois correspondence
- Symmetric functions and discriminants
- Sylow theorems
- The fundamental theorem of algebra
- Solvable extensions
- Insolvability of the quintic
- Geometric constructions
- Lecture: synchronous- lectures will be held at fixed times, on-line
- Midterm(s): synchronous; date: TBA
- Final exam: synchronous; date: TBA
Note: this is a cross-listed course with MATH 740
- Assignments 15%
- Midterm and/or Quizzes 25%
- Final Exam 60%
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
MATERIALS + SUPPLIES:
- Access to strong and reliable internet.
- Ability to scan documents (phone app acceptable)
- Access to webcam and microphone (embedded in computer sufficient)
David A. Cox,
Second edition, 2012
John Wiley & Sons, Inc.
David Dummit and Richard Foote
John Wiley and Sons
A First Course in Abstract Algebra Rings, Groups, and Fields
Marlow Anderson and Todd Feil
Chapman and Hall/CRC Press
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TEACHING AT SFU IN SPRING 2021
Teaching at SFU in spring 2021 will be conducted primarily through remote methods. There will be in-person course components in a few exceptional cases where this is fundamental to the educational goals of the course. Such course components will be clearly identified at registration, as will course components that will be “live” (synchronous) vs. at your own pace (asynchronous). Enrollment acknowledges that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes. To ensure you can access all course materials, we recommend you have access to a computer with a microphone and camera, and the internet. In some cases your instructor may use Zoom or other means requiring a camera and microphone to invigilate exams. If proctoring software will be used, this will be confirmed in the first week of class.Students with hidden or visible disabilities who believe they may need class or exam accommodations, including in the current context of remote learning, are encouraged to register with the SFU Centre for Accessible Learning (firstname.lastname@example.org or 778-782-3112).