Homework for Math 445 - Spring 2014


The homework assignment will be posted through the week and announced on the discussion board.  The homework assigned Monday through Friday on any given week is due the following Wednesday before lecture.
[AG] refers to the textbook “Axiomatic Geometry”.

Homework 1

due Wednesday, April 9

Reading: Chapter 7, 8 (non-convex polygons section is optional), 9 (up to 9.4)

Writing: 7A, 7B, 7C, 7F, 7H, 9B

Homework 2

due Wednesday, April 16

Reading: Chapter 9

Writing: 9C, 9D, 9E, 9F(a), 9G
Problem 6: Assume as known that rectangles do not exist in hyperbolic geometry. Answer the following question (with rigorous justification): is it possible for a quadrilateral in hyperbolic geometry to be a (convex) Lambert quadrilateral and a (convex) Khayyam-Saccheri quadrilateral at the same time?

Homework 3

due Wednesday, April 23

Reading: Chapter 10

Writing: 10C, 10D, 10E, 10F, 10G, 10I, 10L, 10M

Homework 4

due Wednesday, April 29

Reading: Finish Chapter 10. In particular, everything starting at 10.26 (10.26-10.30) is assigned as independent reading.

Chapter 11, including the proofs of 11.8, 11.9.

Writing: 11A, 11B, 11C, 11D

Bonus (10 extra homework points) 11H

Homework 5

due Wednesday, May 7

Post-midterm, no written homework

Work on your group projects!

Homework 6

due Wednesday, May 14

Reading: chapter 12

Writing: 12A, 12B, 12C, 12D, 12L, 12N

Homework 7

due Wednesday, May 21

Writing: Homework 7

Homework 8

due Wednesday, May 28

Reading: Chapter 13

Writing: 13A, 13C, 14B, 14I + Problems 3 and 4: Homework 8

Homework 9

due Wednesday, June 4

Reading: Chapter 14 (up to 14.28), student papers (to be found on the Discussion board under the “Group Projects”.

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