Math E-222: Abstract Algebra
This is a study record of a course offered by Harvard University as an online course. The course information is as follows:
- Instructor: Prof. Benedict Gross
- Videos: YouTube
- Textbook: Algebra by Michael Artin
- Term: Fall 2003
- Useful materials: Lecture notes and problem sets
I find that grasping new and complex concepts isn’t particularly difficult, but fully understanding the entire theory and the connections between key ideas is much more challenging. I’ve spent too much time resting… Now, I want to push myself to study something in depth — not necessarily something I need to finish quickly, but something I can take time to truly understand.
| Lecture | Completion Time | My Notes | Homework |
|---|---|---|---|
| Lecture 1 | 07/11/2025 | Note 1 | HW1 |
| Lecture 2 | 07/20/2025 | Note 2 | HW2 |
| Lecture 3 | 07/22/2025 | Note 3 | HW3 |
| Lecture 4 | 08/06/2025 | Note 4 | HW4 |
| Lecture 5 | 08/17/2025 | Note 5 | HW5 |
| Lecture 6 | 08/23/2025 | Note 6 | TBD |
Note 1
This lecture reviewed the fundamentals of linear algebra and introduced the concept of groups. An important example presented was the general linear group ($\mathrm{GL}_n$).