# Math 5370 Algebraic Structures Homework

## Dr. Duval

Resources for class on Tuesday, November 22:
• slides, Equivalence relations in mathematics, K-16+
• blog post, One Reason Fractions (and Many Other Topics) Are Hard: Equivalence Relations Up and Down the Mathematics Curriculum, from AMS blog On Teaching and Learning Mathematics [disclosure: I am a contributing editor]

Dates shown are when each assignment was handed out [or, in some cases, when they should have been].
Tuesday, August 23
Thursday, August 25
Thursday, September 1
Thursday, September 8
Thursday, September 15
Thursday, September 22
Tuesday, October 4
Thursday, October 6
Thursday, October 13
Thursday, October 20
Thursday, October 27
Thursday, November 3
Thursday, November 10
Thursday, November 17

#### Written homework

due Thursday, September 1: 1.11, 1.17, 1.21, 1.26, 1.29.
due Thursday, September 8: 1.46, 1.49, 1.56, 1.68(ii), 1.71.
due Thursday, September 15: 2.3, 2.6, 2.7, 2.14, 2.15.
due Thursday, September 22: 2.29, 2.30, 2.50, 3.6, 3.14.
(For 3.14, do not use the quadratic formula, as proving the quadratic formula is one of the goals of the problem. Instead use the ideas from Exercises 2.29 and 3.15.)
due Thursday, September 29: 3.23, 3.26, 3.37, 3.38, 3.47.
due Thursday, October 6: 3.55, 3.61, 3.69, 4.3, 4.14.
No homework due Thursday, October 13 (due to exam that day)
due Thursday, October 20: 4.31, 4.35, 4.38.
due Thursday, October 27: 4.44, 4.48, 4.55, 4.59, 4.89.
due Thursday, November 3: 5.7, 5.8, 5.14, 5.27.
due Thursday, November 10: 5.31(i), 5.34, 5.37, 5.49, 5.57.
due Thursday, November 17: 6.2, 6.7, 6.10, 6.19, 6.21, 6.24.
due Thursday, December 1: 6.26, 6.29, 6.37, 6.43.