Course Outline - Mat 346 - Spring 2006
Course
meetings, Tues, Thurs
Text:1-Draft book new version
Text: 2 - Indra's
Text : 3- Various handouts on
hyperbolic geometry
Text 4: The Poincare half plane – Author S. Stahl. Available in library
Interesting sites: http://images.google.com/images?q=alhambra&hl=en
http://www.clarke.edu/~djoyce/wallpaper
http://www.absoluteastronomy.com/reference/euclidean_geometry
Instructor: Prof. Keen. Office Gillet
137e Phone 960 8867 email
linda.keen@lehman.cuny.edu Office hours: Thurs
Outline
In this course we will learn about symmetries and geometries. The course
will meet once a week on Thursday from 11-1 and occasionally on Tuesdays.
I will lecture and/or the students will make presentations of material in
class. The extra meetings will be so that all students can present.
There will be substantial assignments to justify the four credits. There
will be a term paper. The final grade will be based on the term paper and
the classroom presentations.
I will assume a working knowledge of calculus and some basic algebra and complex numbers.
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Jan 26 |
Introduction |
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Feb 2 |
Groups of symmetries |
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Feb 7 |
Euclidean Axioms and rigid motions |
Project: try projects 1.3 and 1.4 in text 2 p 34 |
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Feb 9 |
Rigid Motions |
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Feb 14 |
Class will meet: Euclidean metric |
Book chap 1 |
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Feb 16 |
Riemann sphere and conformal maps |
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Feb 23 |
Mobius transformation and cross ratios |
Do as many exercises in chap 1 as you can and hand them in |
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Feb 28 |
Discrete Mobius groups |
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Apr 27 |
Exercises for chap 2, due by May 18 |
2.1,2.3,2.5,2.6,2.9,2.14,2.15,2.18,2.22,2.24,2.27,2.30 |
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May 9 |
No class |
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May 11 |
Prof Lakic will meet class |
Discuss chap 2 exercises |
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May 16 |
Class |
More problems from chap 2 |
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May 18 |
Reading day – extra class (for May 9) |
Last day to hand in problems for course and grade. |
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