Math 445: Geometry for Teachers
Summer 2015, Term B

Instructor: Alexandru Chirvasitu

Class times and location: Office: C-417 Padelford
Office hours: MWF 09:30 - 10:30, Tu 10:30 - 11:30
Email: chirva AT

TA: Christopher McMurdie
Email: mcmurdie AT

This course is the second part of a series that starts with Math 444. We will be winding our way through the rest of the textbook (Chapter 8 and further), covering select topics that will span pretty much all chapters.


We're using John M. Lee's Axiomatic Geometry, referred to below as AG. The textbook is absolutely necessary, both for the reading and in order to do the assignments.

You'll also need access to Book I of Euclid's Elements, available electronically here.

It's essential that you do the reading. I won't have time to go over every relevant example in class, and you'll need a good grasp of the material in order to do the homework. In fact, I encourage you to regard the reading as part of your homework.

Each reading assignment will be paired with a homework assignment so that they're numbered identically in the two tables. Unless I say otherwise, 'Chapter X' refers to the textbook, AG.

Due date Assignment Remarks
1 Mon, Jul 27 Chapter 8, stopping at `Nonconvex Polygons' on page 166
Chapter 9
2 Wed, Jul 29 Chapter 10
3 Fri, Jul 31 Chapter 11
4 Mon, Aug 03 Chapter 12
5 Wed, Aug 05 Chapter 13
6 Fri, Aug 07 Chapter 14, stopping at 'Inscribed and Circumscribed Polygons'
on page 262
7 Mon, Aug 10 Rest of Chapter 14
8 Wed, Aug 12 Chapter 16
9 Fri, Aug 14 Chapter 17
10 Mon, Aug 17 Chapter 18 Last assignment of the term


I will list the problems from AG, as numbered there. The numerical part indicates the chapter, so say problem 1A is at the end of chapter 1 in AG, and so on.

There will be homework due every class, and you have to turn it in at the beginning, before the lecture. No late homework for any reason, but I will drop the two lowest scores.

Because of time constraints your TA will grade a couple of problems (tops) for correctness and the rest for completeness. I won't be telling you in advance which problems are graded for correctness though..

Due date Assignment Remarks
1 Mon, Jul 27 8D
9B, 9C
8D shouldn't require much Chapter 8 material beyond
the definition of the interior for a polygon.
2 Wed, Jul 29 9D
10A, 10D, 10E, 10F
3 Fri, Jul 31 11A, 11B, 11C, 11D, 11G
4 Mon, Aug 03 12A, 12C, 12H, 12K
5 Wed, Aug 05 13C, 13H, 13I, 13K
6 Fri, Aug 07 14A, 14B, 14E, 14I, 14K, 14L
7 Mon, Aug 10 12I, 14O, 14P, 14R, 14S You'll need 12I in 14S, which is why
I'm assigning it now.
8 Wed, Aug 12 16K, 16P, 16Q, 16S, 16T
9 Fri, Aug 14 17B, 17C, 17D, 17E, 17G
10 Mon, Aug 17 18B, 18C, 18D, 18E, 18F Last assignment of the term


These might happen on any lecture day at any time during class, but I'll let you know at least a day ahead of time. I am not sure how many we'll have, but probably at least one each week, and I'll bring them back with me on the following lecture day.

They'll be quick 10-minute affairs having to do mostly with matters of logic, short proofs, definitions, or other such things that you can answer quickly. Each quiz will probably consist of a single question / problem.

There are no make up quizzes, but I'll drop the lowest one.

Answers to Quiz 1.

Answers to Quiz 2.

Solution for Quiz 3.

Answers to Quiz 4.


It's going to be in class, on the last day of the term, at the usual time:

As mentioned above, we'll drop the two lowest homework scores as well as the lowest quiz.

"Overloading" means allowing more students in class than the limit (which in our case is 35). Because 35 is also our room limit, there will be no overloading.
Disability Resources

If you need special accommodations please go to DRS (Disability Resources for Students) for more information. You should meet with a DRS counselor and get a letter attesting your need for academic accomodations. Once you have such a letter, please see me so that we can arrange for those.
If you have any questions, don't hesitate to email me.

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