Date | Title and Note | Reading | Homework Due |
---|---|---|---|
September 8 (Mon.) | Lecture 1 (E): Definition and elementary properties of rings | (2.3) 6.1 | |
September 10 (Wed.) | Exercises 6.1 | 6.1 | Exercises 6.1 |
September 15 (Mon.) | Lecture 2 (E): Subrings and ideals | 6.2 | Quiz 1 |
September 17 (Wed.) | Exercises 6.2 | 6.2 | Exercises 6.2 |
September 22 (Mon.) | Lecture 3 (E): Integral domains, division rings and fields | 6.3 | Quiz 2 |
September 24 (Wed.) | Lecture 4 (E): Characteristic and the field of fractions of an integral domain | 6.3 | Quiz 3 |
September 29 (Mon.) | Exercises 6.3 | 6.3 | Exercises 6.3 |
October 1 (Wed.) | Lecture 5 (E): Euclidean domains | 7.1 | Quiz 4 |
October 6 (Mon.) | Exercises 7.1 | 7.1 | Exercises 7.1 |
October 8 (Wed.) | Lecture 6 (E): Principal ideal domains | 7.2 | Quiz 5 |
October 13 (Mon.) | Exercises 7.2 | 7.2 | Exercises 7.2 |
October 15 (Wed.) | Lecture 7 (E): Unique factorization in integral domains | 7.3 | Quiz 6 |
October 20 (Mon.) | Exercises 7.3 | 7.3 | Exercises 7.3 |
October 22 (Wed.) | Lecture 8 (E): Polynomial rings | 7.3 | Quiz 7 |
October 27 (Mon.) | Exercises 7.1-7.3 | 7.3 | Review Exercises |
October 29 (Wed.) | Lecture 9 (E): Roots of polynomials and irreducibility | 7.4 | Quiz 8 |
November 3 (Mon.) | No class. Bunk-no-hi | ||
November 5 (Wed.) | Exercises 7.4 | 7.4 | Exercises 7.4 |
November 10 (Mon.) | Review | Chapters 6 and 7 |