Miljan Brakocevic | |
Office hours: | Tue 16:00-17:00, Thu 14:00-15:00 in LSK 300C, or by appointment. |
first name at math dot ubc dot ca | |
Web: | http://www.math.ubc.ca/~miljan/math323 |
Time: | Tue, Thu 9:30-11:00 |
Location: | BUCH A202 |
Dates: | Jan 04, 2016 - Apr 08, 2016 |
Dates | Section in Textbook | Lecture Notes |
---|---|---|
Jan 5 & 7 | Parts of 7.1, 7.3 & 7.4 | Basic Definitions. First Examples. |
Jan 12 | 7.2 | Key Examples (cont'd). |
Jan 14 & 19 | Parts of 7.5, 7.2 | Key Examples (cont'd). |
Jan 21 & 26 | Parts of 7.3 | Ring Homomorphisms and the Isomorphism Theorems. |
Jan 26 & 28 | 7.4 | More on Ideals. |
Feb 2 & 4 | 7.6 | The Chinese Remainder Theorem. |
Feb 4 | Parts of 8.1 | Euclidean Domains. |
Feb 9 & 11 | Parts of 8.1, 8.2 | Principal Ideal Domains. |
------- | ------- | ------- Midterm Material Cut-off ------- |
Feb 23 | 8.3 | Unique Factorization Domains. (soon!) |
Mar 1 & 3 | 9.1, 9.3 | Gauss Lemma. (soon!) |
Mar 8 & 10 | 9.2, 9.4 | Polynomial Rings Over Fields. |
Part II: Modules
Dates | Section in Textbook | Lecture Notes |
---|---|---|
Mar 15 & 17 | 10.1 | Basic Definitions. Examples. |
Mar 22 & 24 | 10.1 | F[x]-modules. |
Mar 29 | 10.2 | Quotients and the Isomorphism Theorems. |
Mar 31 | 10.3 | Direct Sums and Free Modules. |
Apr 5 | The Chinese Remainder Theorem for Modules. | |
12.1 | Rank. | |
12.1 | Modules over PID (I). | |
Apr 7 | 12.1 | Modules over PID (II). |
12.2, 12.3 | Applications to F[x]-modules. |
Assignment | Problem Set | Due Date | Solutions |
---|---|---|---|
Homework 1 | Jan 14 | ||
Homework 2 | Jan 21 | ||
Homework 3 | Jan 28 | ||
Homework 4 | Feb 4 | ||
Homework 5 | Feb 11 | ||
Homework 6 | Feb 25 | ||
Homework 7 | Mar 10 | ||
Homework 8 | Mar 17 | ||
Homework 9 | Mar 24 | ||
Homework 10 | Mar 31 | ||
Reading Assignment |