Date | Title and Note | Reading | Homework |
---|---|---|---|
September 12 (Mon.) | Lecture 1 (E): Definition and elementary properties of rings | (2.3) 6.1 | |
September 14 (Wed.) | Quiz 1 & Exercises 6.1 | 6.1 | Exercises 6.1 |
September 19 (Mon.) | No class. | ||
September 21 (Wed.) | Lecture 2 (E): Subrings and ideals | 6.2 | |
September 26 (Mon.) | Quiz 2 & Exercises 6.2 | 6.2 | Exercises 6.2 |
September 28 (Wed.) | Lecture 3 (E): Integral domains, division rings and fields | 6.3 | |
October 3 (Mon.) | Quiz 3 & Lecture 4 (E): Characteristic and the field of fractions of an integral domain | 6.3 | |
October 5 (Wed.) | Review & Exercises 6.3 (Take-home Midterm will be distributed.) | 6.3 | Exercises 6.3 |
October 10 (Mon.) | No class. | ||
October 12 (Wed.) | Lecture 5 (E): Euclidean domains | 7.1 | |
October 17 (Mon.) | Quiz 4 & Exercises 7.1 | 7.1 | Exercises 7.1 |
October 19 (Wed.) | Lecture 6 (E): Principal ideal domains | 7.2 | |
October 24 (Mon.) | Quiz 5 & Exercises 7.2 | 7.2 | Exercises 7.2 |
October 26 (Wed.) | Lecture 7 (E): Unique factorization in integral domains | 7.3 | |
October 31 (Mon.) | No class. | ||
November 2 (Wed.) | Quiz 6 & Lecture 8 (E): Polynomial rings | 7.3 | |
November 7 (Mon.) | Review & Exercises 7.3 | 7.3 | Exercises 7.3 |
November 9 (Wed) | Lecture 9 (E): Roots of polynomials and irreducibility | 7.4 | |
November 14 (Mon.) | Quiz 7 & Exercises 7.4 | 7.4 | Exercises 7.4 |