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Homework Assignments for Block I **RINGS AND FIELDS** |
| Lesson # |
Date(s) |
Section | Topic |
Homework Assignment |
| 1 |
Jan. 14 |
5.1 |
Course Overview Introduction to Rings |
Read Section 5.1; Do problems: pp. 260-263 #2, 6, 12, 24, 55 (Due Mon., Jan. 21) & Presentations: pp. 260-263 #38 & 41 (Group I), 32 & 42 (Group II) (Due Fri., Jan. 18) |
| 2 |
Jan. 16 |
5.1 |
Rings and Fields Problem-solving |
Do problems: pp. 260-263 #16, 18, 19, 33, 49 (Due Mon., Jan. 21) |
| 3 |
Jan. 18 |
5.1 |
Student Presentations | |
| 4 |
Jan. 21 |
5.2 |
Integral Domains | Read Section 5.2; Do problems: pp. 268-270 #4, 7, 9, 11, 17, 25-27 (Due Fri., Jan. 25 but not to be collected) |
| 5 |
Jan. 23 |
5.2 |
Integral Domains | |
| 6 |
Jan. 25 |
5.3 |
Fermat's Little Theorem | Read Section 5.3; Do problems: pp. 276-277 #2, 4, 10, 23-27 (Due Fri., Feb. 1) |
| 7 |
Jan. 28 |
5.3 |
Euler's Theorem | |
| 8 |
Jan. 30 |
5.4 |
The Field of Quotients | Read Section 5.4; Do problems: pp. 283-285 #2, 4, 11 (Due Mon., Feb. 4 but not collected) |
| 9 |
Feb. 1 |
5.5 |
Rings of Polynomials | Read Section 5.5; Do problems: pp. 294-297 #4, 6, 11, 15, 20, 22, 23, 27 (Due Fri., Feb. 8) & Presentations: pp. 297 #30 (Group I), 31 (Group II) (Due Wed., Feb. 6) |
| 10 |
Feb. 4 |
5.5 |
The Evaluation Homomorphisms | |
| 11 |
Feb. 6 |
5.5 |
Student Presentations | |
| 12 |
Feb. 8 |
5.6 |
Factorization of Polynomials | Read Section 5.6; Do problems: pp. 306-308 #3, 7, 11, 13, 14, 16, 19, 21, 25, 35 (Due Wed., Feb. 13) & Presentations: pp. 306-308 #33, 34 (Due Wed., Feb. 13) |
| 13 |
Feb. 11 |
5.6 |
Factorization of Polynomials | |
| 14 |
Feb. 13 |
5.6 |
Student Presentations | |
| 15 |
Feb. 15 |
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Exam I (covers Sections 5.1-5.6) | The take-home will be distributed; it is due Wed., Feb. 20 |
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