e-mail:
laurel.langford@uwrf.edu
My schedule
My office location: 206E NH
My office phone number:
715-425-4360
General syllabus
Useful Links:
Euclid's
Elements
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Contact me: e-mail: laurel.langford@uwrf.edu My schedule My office location: 206E NH My office phone number: 715-425-4360 |
Grading policies, etc General syllabus |
Useful Links: |
| Mon NH 16 | Wed NH 16 | Fri NH 16 |
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Sept 7: Introduction
to Math 411 |
Assignment: Euclid's
property statements (do through Prop 16 for Monday) |
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Sept 12 Assignment: Euclid's property
statements (finish and turn in Weds) |
Axiomatic systems and other geometries |
Isometric
transformations: moving from one place to another using
translations, rotations and reflections |
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Sept. 19 Review and spherical
geometry: what is a spherical line? Think about: can you have a
translation on a sphere? A rotation? A reflection? |
Some more notes
on propositions (5, 15 and 27) and a video of postulate 5 The worksheet we're figuring out this week |
Quiz
1 (interpreting geometric statements) More with spheres |
| Sept 26 Spheres and the hyperbolic plane and curvature Assignment: Figure out to how use rotations to move one triangle in the plane onto another congruent triangle. |
More hyperbolic plane stuff Assignment Hints: a video illustrating what happens in Hyperbolic vs Euclidean geometry Hints on the assignment |
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| Oct 3: Look
at axioms Assignment: be more specific with triangle rotations |
In class work |
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| Oct 10: Theorems
page (2) Prove theorem 3 for Wednesday |
Prove Theorem 4 for Friday |
Quiz 3--prove a theorem: will be either theorem 1 or
theorem 2 |
| Oct 17: Write up (finish writing up) the
proof of the
theorem that says that a composition of two isometries is an isometry.
If you weren't in class, talk to someone who was.
If you
were in class, help someone who wasn't, |
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| Oct 24: Lemmas
for SAS |
Finish lemmas for SAS New copy of theorems: write in Givens and Thens. Homework practice Videos for homework: reflections and rotations; composition1, composition and special points, congruence, fixed points; prob 5 part 1, part 2 |
SAS and lemmas for ASA |
| Oct 31: ASA and duplicating segments Handout: new and improved theorems! For Wednesday: Watch how to prove Lemma 18 with the alternate version of Lemma 17, and compare it to the proof we did in class. Write up a proof of Theorems 19 and 20. Hints for 20 are here. |
Quiz 4: Theorems and lemmas 6-17. |
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| Nov 7: | ||
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Nov. 14 |
Quiz 5 |
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| Nov. 21: Thm 31 worksheet | Happy | Thanksgiving |
| Nov 28. |
Thm 33 video |
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| Nov. 5: Vid thm 40 Vid thm 41 Vid thm 42 |
Quiz on thm 32 or 35. |
Quiz 6 |
| Dec 12: |
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Final Exam: |