This is a basic course in algebra, covering one of the most beautiful results in mathematics: Galois's theory of solutions to algebraic equations. There is no required textbook, but many textbooks cover the material, several of which are available in PDF form from the publisher for anyone on the UBC network; a lot of the material can also be found in any "abstract algebra" textbook. More details may be found in the syllabus.
Section numbers marked § are in the course notes.
Warning: the following information is tentative and subject to change at any time
| Week | Date | Material | Reading | Scan | Notes |
|---|---|---|---|---|---|
| 1 | W 9/9 | Introduction | p1, p2, p3 | ||
| F 11/9 | Solvable and nilpotent groups | §1.4 | Scan | ||
| 2 | M 14/9 | (continued) | Scan | ||
| W 16/9 | Polynomials | §2.1 | Scan | ||
| F 18/9 | PS1 | p1, p2, p3, p4, p5, p6, p7, p8, p9, p10 | |||
| 3 | M 21/9 | Field extensions | §2.2 | p1, p2, p3, p4, p5, p6, p7, p8 | |
| W 23/9 | (continued) | (continued) | p1, p2, p3, p4, p5, p6, p7, p8, p9 | ||
| F 25/9 | PS2 | Scan | |||
| 4 | M 28/9 | Recorded Lecture: Ruler and Compass | §2.3 | Scan | Synchronous meeting cancelled |
| W 30/9 | Splitting fields | §3.1 | Scan | ||
| F 2/10 | PS3 | Scan | |||
| 5 | M 5/10 | Normal extensions | (continued) | Scan | |
| W 7/10 | Example of a splitting field | (continued) | Scan | ||
| F 9/10 | PS4 | Scan | |||
| 6 | W 14/10 | Separability | §3.2 | Scan | |
| F 16/10 | PS5 | Scan | |||
| 7 | M 19/10 | (continued) | Scan | ||
| W 21/10 | Automorphism groups | §3.3 | Scan | ||
| F 23/10 | (continued) | Scan | |||
| 8 | M 26/10 | The Group Action | §3.4 | Scan | |
| W 28/10 | Galois Theory | §3.5 | Scan | ||
| F 30/10 | PS6 | Scan | |||
| 9 | M 2/11 | Examples | §3.6 | Scan | |
| W 4/11 | (continued) | Scan | |||
| F 6/11 | PS7 | Scan | |||
| 10 | M 9/11 | Solubility by radicals | §3.7 | Scan | |
| F 13/11 | PS8 | Scan | |||
| 11 | M 16/11 | (continued) | Scan | ||
| W 18/11 | Transcendental extensions | Scan | |||
| F 20/11 | PS9 | Scan | |||
| 12 | M 23/11 | Transcdence Bases | Scan | ||
| W 25/11 | Infinite Galois Theory | Scan | |||
| F 27/11 | PS10 | Scan | |||
| 13 | M 30/11 | (continued) | Scan | ||
| W 2/11 | (continued) | Scan |
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Clarification: the writings on these pages are generally my own creations (to which I own the copyright), and are made available for traditional academic reuse. If you wish to republish substantial portions (including in "derivative works") please ask me for permission. The material is expressly excluded from the terms of UBC Policy 81.
Last modified Monday December 07, 2020
