| Date | Title and Note | Reading | Homework Due |
|---|---|---|---|
| September 11 (Mon.) | Lecture 1 (E): Definition and elementary properties of rings | (2.3) 6.1 | |
| September 13 (Wed.) | Exercises 6.1 | 6.1 | Exercises 6.1 |
| September 18 (Mon.) | No class. Keiro-no-hi | ||
| September 20 (Wed.) | Lecture 2 (E): Subrings and ideals | 6.2 | Quiz 1 |
| September 25 (Mon.) | Exercises 6.2 | 6.2 | Exercises 6.2 |
| September 27 (Wed.) | Lecture 3 (E): Integral domains, division rings and fields | 6.3 | Quiz 2 |
| October 2 (Mon.) | Lecture 4 (E): Characteristic and the field of fractions of an integral domain | 6.3 | Quiz 3 |
| October 4 (Wed.) | Exercises 6.3 (Take-home Midterm will be distributed.) | 6.3 | Exercises 6.3 |
| October 9 (Mon.) | No class. Taiiku-no-hi | ||
| October 11 (Wed.) | Lecture 5 (E): Euclidean domains | 7.1 | Midterm |
| October 16 (Mon.) | Exercises 7.1 | 7.1 | Exercises 7.1 |
| October 18 (Wed.) | Lecture 6 (E): Principal ideal domains | 7.2 | Quiz 4 |
| October 23 (Mon.) | Exercises 7.2 | 7.2 | Exercises 7.2 |
| October 25 (Wed.) | Lecture 7 (E): Unique factorization in integral domains | 7.3 | Quiz 5 |
| October 30 (Mon.) | Lecture 8 (E): Polynomial rings | 7.3 | Quiz 6 |
| November 1 (Wed.) | Exercises 7.3 | 7.3 | Exercises 7.3 |
| November 6 (Mon.) | Lecture 9 (E): Roots of polynomials and irreducibility | 7.4 | Quiz 7 |
| November 8 (Wed.) | Exercises 7.4 | 7.4 | Exercises 7.4 |
| November 13 (Mon.) | Exercises of Chapters 6 and 7 | Chapters 6 and 7 | Quiz 8 |
| November 15 (Wed.) | Review | Chapters 6 and 7 |