Homework Assignments for Block I **RINGS AND FIELDS**
 Lesson # Date(s) Section Topic Homework Assignment 1 Jan. 14 18 Course Overview Introduction to Rings Read Section 18; Do problems: pp. 174-177 #6, 10, 11, 18, 24, 25, 33, 35, 38, 44, 48, 50 (Due Mon., Jan. 21) & Presentations: pp. 174-177 #40, 41, 51, 52, 53 (Due Fri., Jan. 18) 2 Jan. 16 18 Rings and Fields Problem-solving 3 Jan. 18 18 Student Presentations 4 Jan. 21 19 Integral Domains Read Section 19; Do problems: pp. 182- 184 #2, 3, 10, 14, 17, 23, 26, 27, 30 (Due Fri., Jan. 25) 5 Jan. 23 19 Integral Domains/Characteristic of a Ring 6 Jan. 25 20 Fermat's Little Theorem Read Section 20; Do problems: pp. 189-190 #4, 10, 17-19, 23, 24, 27-30 (Due Fri., Feb. 1) 7 Jan. 28 20 Euler's Theorem 8 Jan. 30 21 The Field of Quotients Read Section 21; Do problems: pp. 196-197 #2, 4 (Due Mon., Feb. 4 but not to be collected) 9 Feb. 1 22 Rings of Polynomials Read Section 22; Do problems: pp. 207-209 #4, 16, 17, 20, 21, 22, 23, 27, 28, 31 (Note: 31 refers to 29 & 30, so you might have to think a bit about those problems too. I only want your write-up for 31.) (Due Fri., Feb. 8) 10 Feb. 4 22 The Evaluation Homomorphisms 11 Feb. 6 23 Factorization of Polynomials Read Section 23; Do problems: pp. 218-220 #3, 7, 11, 14, 15, 19, 21, 25, 27-31 (Due Mon., Feb. 11 but not to be collected) & Presentations: pp. 219-220 #34, 35, 36 (if time allows, we'll talk about 27-31 too) (Due Mon., Feb. 11) 12 Feb. 8 23 Factorization of Polynomials 13 Feb. 11 23 Student Presentations 14 Feb. 13 Exam I (covers Sections 18-23) The take-home will be distributed; it is due Mon., Feb. 18