Math 445: Geometry for Teachers
Spring 2016

Instructor: Alexandru Chirvasitu

Class times and location: Office: C-417 Padelford
Office hours: Monday 2:15 - 3:15, Tuesday 3:45 - 4:45, or by appointment
Email: chirva AT

TA: Michael Shrieve
Email: shrieve AT
Office hours: Monday 1 - 2 and Tuesday 12 - 1 in ART 336

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 9 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.

Unless I say otherwise, 'Chapter X' refers to the textbook, AG.

Due date Assignment Remarks
1 Wed March 30 Chapter 9
2 Fri April 01 Chapter 10, stopping
after Corollary 10.18
3 Mon April 04 Finish Chapter 10
Chapter 11 before 'Area Formulas'
4 Wed April 06 Finish Chapter 11
5 Fri April 08 Chapter 12, before
'Collinearity and Concurrence Theorems' (page 221)
6 Mon April 11 Chapter 12 before 'The Golden Ratio' (page 224)
Chapter 13 before page 236
7 Wed April 13 Continue Chapter 13 stopping
before 'Categoricity [...]' (page 243)
8 Fri April 15 Chapter 14 before
'Arcs and Inscribed Angles' (page 254)
We are not meeting that day!
Please do the reading to keep up.
9 Mon April 18 Continue Chapter 14, stop
before 'Inscribed and Circumscribed Polygons'
10 Wed April 20 Continue Chapter 14, stop
after Theorem 14.36 (page 269)
What we've covered so far
constitutes the midterm material.
11 Fri April 22 Chapter 16 before
'Ratio Constructions' (page 301)
12 Mon April 25 Study for midterm
13 Wed April 27 Study for midterm some more
14 Fri April 29 Continue Chapter 16, stop
before 'Impossible Constructions' (page 307)
15 Mon May 02 Chapter 17, stopping before
Theorem 17.8 (page 328)
16 Wed May 04 Finish Chapter 17
17 Fri May 06 Chapter 18 before
'Asymptotic Rays' (page 343)
18 Mon May 09 Continue Chapter 18, stop
before 'Asymptotic Triangles' (page 350)
19 Wed May 11 Finish Chapter 18
20 Fri May 13 Chapter 19, before
'Parallel Lines and Common Perpendiculars' (page 359)
21 Mon May 16 Continue Chapter 19, stoppin
before 'Distances between Parallel Lines' (page 362)
22 Wed May 18 Finish Chapter 19


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.

You have to turn in the assignment at the beginning of class, before the lecture. No late homework for any reason, but I will drop the lowest score.

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 Wed April 06 9B, 9C
10D, 10E, 10F, 10M
11A, 11C, 11D, 11G
2 Wed April 13 12A, 12C, 12H, 12I
13C, 13H, 13I, 13L
3 Wed April 20 14A, 14B, 14I, 14K
14O, 14Q, 14R, 14W
No hw on April 27
because of the midterm
4 Wed May 04 16K, 16N, 16P, 16Q
17B, 17C, 17D, 17G
5 Wed May 11 18B, 18C, 18D, 18E, 18F
6 Wed May 18 All Chapter 19 problems Last assignment


It's happening in class (usual time and place) Wednesday, April 27. The test is open book.


The date and time are set by the department and I cannot change it. Early / late exams are not an option, so please plan accordingly.

Both the midterm and the final are open book exams. You get to bring your book, class notes, past homework, whatever.

As mentioned above, we'll drop the lowest homework score.

"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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