444 Home Page
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Week 1: 9/28-30
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Week 2: 10/03-07
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Week 3: 10/10-14
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Week 4: 10/17-21
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Week 5: 10/24-28
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Week 6: 10/31-11/04
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Week 7: 11/07-11
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Week 8: 11/14-18
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Week 9: 11/21-25
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Week 10: 11/28-12/02
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Week 11: 12/05-09
- Week 12. 12/12
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Written Assignments due this week
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444 Monday 11/14
- Definition and properties of glide reflections
- Translations and glide reflections are isometries because compositions
of isometries are isometries.
- Fundamental Theorems 11 and 12.
Link to Class #21 Page
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444 Wednesday 11/16
- Composition
of transformations in general -- order, associativity, and inverses.
- Proof
of the nature of triple line reflections (problems 17-19, proving
the missing part of Theorem 12).
- Composing
two rotations. (Theorems 23 and 24)
Link to Class #22 Page
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487 Wednesday 11/16 Lab 8
- Practice
from 2.1 and 2.4.
- Algebra
of translations.
- Algebra
of half-turns.
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444 Friday 11/18
- Concept
of a group.
- All
isometries form a group.
- Translations
form a group. Also rotations
+ translations.
- Half-turns
do not form a group.
- Line
reflections do not form a group, nor do glide reflections.
- Semi-quiz B today.
Link to Class #23 Page
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