Homework |
|
HW # |
Due | Read | Do |
|---|---|---|---|
| W 5/4 8:30-11:30 AM FN 4 |
Final exam covers these problems (click). | ||
|
Solutions to HWs 24 & 25 |
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|
28 |
W 4/27 | No new reading assignment. Start reviewing for the final! Start with Quizzes 1 and 2. | Do these problems. |
|
27 |
M 4/25 | Read pages 112-119, skipping the proofs; but do read the proofs of Propositions 3.1.13 and 3.1.14, and make sure you can do them on your own for the final exam. |
Sec 3.1: 1, 2a, For 1 and 2a: don't have to prove them rigorously; just think about why they're true, and be prepared to discuss them in class. Also do these problems. |
| F 4/22 | Covers HWs 21-23, including Theorems 8.3.1, 8.3.2, and 8.3.3. | ||
|
26 |
W 4/20 | Section 3.1 pages 107-111. You may skip all the proofs; just try to
understand definitions and statements of theorems. It may help to look
at Example 1 on page 146, and Example 5 on page 150
(just the first and last sentences). For your interest: Crocheting the Hyperbolic Plane |
Finish the activities from HW #25. On Wednesday we'll hopefully spend time on both HW 25 and 26 (the concepts). |
|
25 |
M 4/18 |
Do all activities 9-4 through 9-12, but skip 9-10 and 9-11, except DO
9-11(2). Also do these activities |
|
|
24 |
F 4/15 | Read Using
NonEuclid - My First Triangle, and Activity 9-1: Example
Activity (Adjacent Angles). Also read What is Non-Euclidean Geometry; then, if interested in continuing reading more, click on the link "Next Topic" at the bottom of that page. |
Do activities Angles
(9-2) and General
Triangles (9-3). To do these activities, click on the Non-Euclid Applet link at the top of this page. On Friday we will hopefully do some of the other activities, 9-3 through 9-13, together. |
|
23 |
W 4/13 |
Nothing new to read; opportunity to catch up (or relax). We will watch Mel Slugbate's video on Monday! |
Do these problems. |
| F 4/8 | Covers HWs 17-20, including Theorems 2.2.1, 2.2.2, 2.2.4, 2.3.7, 2.3.8, 2.3.9, and 2.4.4. | ||
|
22 |
W 4/6 | Read Section 9.1, and Section 9.2 pages 346-348. |
Sec 9.1: 1, 3, 4, 6, 7. Sec 9.2: Nothing. Plus the following problem: I. Give two non-isomorphic models of Incidence Geometry. |
|
21 |
M 4/4 | Skim Sections 8.1 & 8.2 (pages 309-317), but read
Theorems 8.2.4, 8.2.6, and 8.2.7 carefully (may skip their proofs,
though). Read all of Section 8.3, and be able to prove all the theorems in this section on your own. |
Do these problems. |
|
20 |
F 4/1 | Section 2.4 page 94. |
Sec 2.4: 3, 5. Plus these problems. |
|
19 |
W 3/30 | Section 2.4 pages 88-93. Be able to prove Propositions |
Sec 2.4: 1, 2, 4. Also, explain in your own words what the first three sentences in Sec 2.4 say. Plus these problems. |
|
18 |
M 3/28 | Read Proofs of Theorems 2.3.7, 2.3.8, and 2.3.9 and be able to do them on your own. |
Sec 2.3: 6, 8, 9, 10. In #8, assume D is on segment AC. Hint for #8: Draw lines through A and C parallel to line BD. |
| F 3/25 | Covers HWs 12-16, including theorems listed in the reading assignments. | ||
|
17 |
W 3/23 | Sections 2.2 and 2.3. Read the proofs of all theorems in Section 2.2 carefully and make sure you can do them on your own. | Sec 2.3: 1, 2, 4, 5, 7. |
|
16 |
M 3/21 | Read proofs of Propositions 2.1.4 and 2.1.8, and be able to prove them on your own. | Sec 2.1: 4-10. |
|
15 |
F 3/11 | Sec 2.1. | Sec 2.1: 1, 2, 3. (How do these problems compare with problem 1 of sec 1.5?) |
|
14 |
M 3/7 | (Friday 3/4: Pi Mu Epsilon talk instead of regular class meeting.) Nothing to read. On Monday I will talk about geometric models ( |
Sec 1.5: 2, 10. Plus these problems. |
|
13 |
W 3/2 | Sec 1.8 (all of it, including page 60). | Sec 1.8: 6, 7, 8, 11, 12, 14. (For all these problems, instead of "drawing" a picture, describe a procedure for how to draw it.) |
| Covers HWs 8-11. Note that this includes the theorems listed in the reading assignments: 1.5.11, 1.5.14, 1.6.9. | |||
|
12 |
F 2/25 |
(Classes cancelled due to power outage)
Sec 1.7. Read all of it, but skip the proofs of all theorems (and propositions and lemmas) except the proofs of Lemma 1.7.4 and the Saccheri-Legendre Theorem, which you should learn well enough to be able to prove on your own. |
Sec 1.7: 1, 3, 5, 6. Also, find the mistake in the proof of problem 5 of Sec 1.6 that was handed out in class. |
|
11 |
F 2/18 | Sec 1.6: 4a, 5, 6ab. | |
|
10 |
W 2/16 | Section 1.6. Read the whole section. You may skip proofs of propositions (but reading them may help you with HW). Read the proof of Lemma 1.6.9 carefully, and then make sure you can do it on your own. | Sec 1.6: 1-3. |
|
9 |
M 2/14 | Sec 1.5 pages 31-36. Read proofs of Theorems 1.5.11 and 1.5.14 carefully, and make sure you can do them on your own. |
Sec 1.5: 1bc, 6-9. Plus these problems. |
| F 2/11 | Covers HWs 4-7. | ||
|
8 |
W 2/9 | Sec 1.5 pages 28-31. | Sec 1.5: 1, 3, 4. |
|
7 |
M 2/7 | Sec 1.4 pages 24-28. |
Sec 1.4: 2. Plus these problems. |
|
6 |
F 2/4 | Sec 1.4 pages 22-23. |
Sec 1.4: 1. Plus these problems. |
|
5 |
W 2/2 | Sec 1.3 pages 18-21. | Sec 1.3: 3-5. |
|
4 |
M 1/31 | Sec 1.3 pages 16-18 (again). |
Sec 1.3: 2. Plus problems from HW #3. And find the flaw in the "proof" of the handout "The Danger in Diagrams." |
| F 1/28 | Covers homework problems 1-7 from Section 1.2. | ||
|
3 |
W 1/26 | Sec 1.3 pages 16-18. | Sec 1.2: 7-9. Sec 1.3: 1. Plus these problems. |
|
2 |
M 1/24 | Sec 1.2 to the end. | Sec 1.2: 6. |
|
1 |
F 1/21 | Sec 1.1; Sec 1.2 pages 2-8. | Sec 1.2: 1-5. |