### MATH 306/506 HOMEWORK PROBLEMS and READING ASSIGNMENTS/ENRICHMENTS Spring 2013

Suggested Homework 10: on isometries

• Problem Set 5.1: 4(a),15.
• Problem Set 6.1: 1, 10, 11.
• Problem Set 6.2: 1

Homework 9 (due on Wednesday April 17, 2013):

• Problem Set 4.1: exercises 3 or 18
• Problem Set 4.2: exercises 2 or 9
• Problem Set 4.3: exercises 1 or 3
• Problem Set 4.5: exercises 2 or 3

Homework 8 (due on Monday April 8, 2013):

• Problem Set 3.1: 7,8(compare to exercise 32 in Problem set 1.3),19,21
• Problem Set 3.2: exercises 2,6,14
• Problem Set 3.3: exercises 5

Homework 7 (due on Monday April 1, 2013):

• Problem set 2.1: exercises #1 and #12
• Problem set 2.2: exercise #3
• Problem set 2.3: exercise #1(a)(b)

Homework 6 (due Wed March 6, 2013): Do exercises 6(a)(b), 10, 12, and 17 in Problem Set 1.3.

Homework 5 (due Wed Feb 27, 2013): Do exercises 12 and 13 in Problem Set 1.2 (Pages 39-40).

Homework 4 (due Wed Feb 20, 2013): Write the converse of Pons Asinorum (Theorem 1.3 in page 17). Now prove it.

Homework 3 (due Wed Feb 13, 2013): Exercised 5 and 8 in Problem set 1.2 p.38-40.
Please read the Section on Euclidean Constructions (pages 22-24), including the examples and Constructions 1.1, 1.2 and 1.3

Homework 2 (due Wed Feb 6, 2013): Problem 1 in Problem Set 1.1 page 14.
Please read Problems 2 and 3 for discussion in class on Wednesday.

Reading enrichment: Chapter 2 in Claire Fisher Addler's book Modern Geometry Chapter 2: Special topics of axiomatic geometry.

Homework 1 (due Wed Jan 30, 2013): Exercises 2 and 6 in the Appendix (page 354).
You will need to read the definition of a convex set in page 349.

Reading enrichment: Chapter 1 in Claire Fisher Addler's book Modern Geometry Chapter 1: Logical systems and basic laws of reasoning.

Homework 0 (due Wed Jan 23, 2013): Attempt Problem 1 in Chapter 0, page 6.
If you know how to solve the Treasure Island problem then please write down your solution and turn it in on Wednesday (do not copy a solution found in the book, that will defeat the purpose of the homework).