Math 480 Visual Mathematics
Summer, 2001
UNDER CONSTRUCTION
last revised 3-15-01
MTWR 1600-1715
SH 128
09-JUL-01 to 10-AUG-01
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Last
updated: 3-15-01
Summer, 2001 Problem
Assignments (Tentative as of 2-28-01)
M.FLASHMAN
Assignments are due on the indicated date.
* = interesting but optional (extra credit)
| Week |
Monday |
Tuesday |
Wednesday |
Thursday |
| 1 |
7/9 |
7/10 |
7/11 |
7/12 |
| 2 |
7/16 |
7/17 |
7/18 |
7/19 |
| 3 |
7/23 |
7/24 |
7/25 |
7/26 |
| 4 |
7/30 |
7/31 |
8/1 |
8/2 |
| 5 |
8/6 |
8/7 |
8/8 |
8/9 |
Topic Schedule
| Week |
Monday |
Tuesday |
Wednesday |
Thursday |
| 1 |
7/9 |
7/10 |
7/11 |
7/12 |
| 2 |
7/16 |
7/17 |
7/18 |
7/19 |
| 3 |
7/23 |
7/24 |
7/25 |
7/26 |
| 4 |
7/30 |
7/31 |
8/1 |
8/2 |
| 5 |
8/6 |
8/7 |
8/8 |
8/9 |
Course Information
Description: Topics in mathematics that arise from
attempts to define and explain aspects of visual experience, such
as symmetry, space dimension, surfaces, and curvature. Appropriate for
students and teachers (middle or high school) of mathematics or science.
-
Prerequisite: At least one course
in calculus and familiarity with high school geometry or
permission of instructor.
-
Texts: More TBA
Here's Looking at Euclid..., by J.Petit, Kaufmann (1985).
Flatland By E. Abbott, Dover.
Supplementary readings and materials will be supplied
as appropriate.
-
TESTS AND ASSIGNMENTS:
TBA.
*** DAILY ATTENDANCE SHOULD BE A HABIT! ***
GRADES:TBA
** See the course schedule for the dates related to the following:
No drops will be allowed without "serious and compelling reasons" and
a fee.
No drops will be allowed.
Students wishing to be graded with either CR or NC should make this request
to the Adm & Rec office in writing or by using the web registration
procedures.
See the course list for a full list of relevant
days.
-
Technology:We
will be using the computer at various stages of this course to illustrate
and investigate some of the geometry dynamically. For this purpose we will
use Geometer's Sketchpad and Wingeometry.
We may go to a computer lab at times to use this software
and for exploring other software as well.
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Tentative List of Topics
(Still open for additions but longer than what will actually be covered)
1.Introduction.: What is a Visual Argument
2. Planar Issues
a.Points, lines and polygons.
b.Planar Tilings
c.Symmetry and Isometries.
3.Introduction to Space.
a.Polyhedra
b.Isometries
4.Magnification and Similarity
a. The problems of scale.
b. Fractals.
5.Projective Geometry
a.Configurations
b.Duality
6.Non-Euclidean Views
a..Projective Geometry
b.The Poincare Model
7.Curves and Surfaces
a.Continuity and Dimensions
b.Accounting for Geometry
(Planar and Non-Planar)
c.Classification Problems
d.Color Problems
If you have a question, you can ask me by e-mail:mef2@axe.humboldt.edu
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Last updated: 3/15/01