Axiomatic Geometry - Mathematics 360 - Spring 2009

Homework

Home

Homework  Syllabus



HW #    Due    Read Do
Final Exam W 5/6
8:30-11:30
Final exam will cover Quizzes 1-5 and HWs 17-23.  
23 W 4/29   Do these extra problems.
22 F 4/24 Ch 21 p. 259-262. Ch 21: A-E, 4, plus these extra problems.
21 W 4/22 Scorpling Flugs (from The Non-Euclidean Revolution, by Richard J.Trudeau, Birkhauser) Do these problems.
20 F 4/17   Turn in all of the following.
For each of the following, describe a procedure for how you construct the desired figures. For example, in 3.03, how do you construct an equilateral or an equiangular triangle?
Activities:
3.03: 14, 15, 17;
3.04: 6-7;
plus these extra problems.
19 W 4/15 Practice using NonEuclid (by Joel Catellanos). Activities:
3.03: 2-5, 9-12.
3.06: 1, 2.
Do not turn in the above. But give a detailed set of instructions on how to construct the quadrilateral described in 3.06:2.
18 M 4/13   Ch 7: 9-12, plus these extra problems.
Quiz 5 W 4/8 Will cover HWs 14-16.  
17 M 4/6 Ch 7 p. 80-83. Ch 7: B, plus these extra problems.
Hint for B: Compare (+) on page 79 with the equation on page 38.
16 W 4/1 Ch 7 p. 78-79. Ch 7: 2, plus these extra problems.
15 M 3/30 Ch 6 p. 70-74. Ch 6: 2, 3, 5-8, 15, 16.
14 W 3/25 Ch 6 p. 67-70. Ch 6: A, 1, 10-13, plus these extra problems.
For problems 12 & 13, see the note above the extra problems.
Quiz 4

Soln to Problem 4

M 3/23 Will cover HWs 10-13.  
13 W 3/18 Ch 5 p. 61-63: Symmetry. Ch 5: 18-25, plus these extra problems.
In #23 explain why the answer is No.
12 M 3/16 Ch 5 p. 60-61: Clines. Ch 5: 1-4, 16, 17, plus these extra problems.
 
11 F 3/6 Ch 5 p. 57-59. Ch 5:  8, 11, 13, plus the second problem in these extra problems (problems 1 and 3 are postponed for later).
8b gets messy at the end; work it out as far as you can, then near the end explain how you would finish it; then carry out your plan assuming b=1 (find a, c, d if possible).
Hint for 13: Every Mobius transformation can be written as a composition of ...
 
10 W 3/4 Ch 5 p. 55-56 and the top half of p. 57. Ch 5: A, B, 5, 6, 7, 9, 10, 12.
Hint for 10: if the determinant of a matrix is 0, then its rows are linearly dependent.
Quiz 3 F 2/27 Covers HWs 7-9.  
9 M 2/23 Ch 4 p. 43-44. Ch 4: 5-11.
Also do these additional problems.
8 F 2/20 Ch 4 p. 40-42. Ch 4: 3, 4.
And do Exercises A through G on pages 37-42.
Also do these additional problems.
7 W 2/18 Ch 4 p. 36-40. Ch 4: 1, 2.
Quiz 2 F 2/13 Covers HWs 4-6.  
6 M 2/9 Ch 3 p. 30-33. Ch 3: 13, 15, plus these extra problems.
Do problem 15 by Friday. The rest by Monday.
5 W 2/4 Ch 3 p. 27-30.
The derivation of the formula for stereographic projection (on p. 29) may be on exams. We'll cover it in class on Wednesday.
Ch 3: 10-12.
4 M 2/2 Ch 3 p. 24-27. Ch 3: 4, 8, 9.
In problem 9, instead of "<pzr" it should say "<pzq". 
Also, explain why we can make the assumption in the hint (that p and q lie on a line through the origin).
Quiz 1 F 1/30 Covers HWs 1-3.
You should know values of sin, cos, and tan for the "common" angles: theta + n(pi), where theta = 0, pi/6, pi/4, pi/3, or pi/2, and n is any integer.
 
3 W 1/28 Ch 3 p. 22-24. Ch 3: 1-3, 5-7.
2 M 1/26 Finish Ch. 2. Ch 2: 11-13, 14a-e, 17, 19abce
1 F 1/23 Read Ch. 2 p. 13-17 (up to The Geometry of Complex Multiplication)  Ch 2: 3, 5-10, 18.
Hint for #6: Use top of p.17