Math 103I

Reading Assignments
Resource List

Tentative Reading Assignments (Revised 11-11-99)

Week	Assnm't Source	Chapter and pages	Comments, Web Sites to Visit, and other things
1	Flatland Stewart	Introduction, Preface, and Part I. Prefaces and Ch 1 pp.1-7	(Activity and assignments on Flatland will follow next week.) Flatland is available on the web. Professor Ian Stewart "The Magical Maze: The Natural World and the Mathematical Mind" Tangram Information & Software (shareware) by S. T. Han
2	Flatland Pedoe Stewart	Part II. Preface and Chapter 1 (in part), Vitruvius, pp. 11-31. Ch.2 pp8-11; 13-16;16-24;24-26	Bring two congruent equilateral triangles to next class. This might be a good time to visit Rug patterns and Mathematics exhibit plus...
3	Pedoe Stewart	pp. 258 (middle) - 261 (symmetry). ch 7. pp 95-101;109-112	Thursday is Tessellation Day: Wear to class clothing that has a tiling pattern on it. You might want to visit this Tesselations site now .
4	Pedoe Stewart	pp. 44-46 middle; 66-69 middle. 72 bottom - 73 middle.(regular polygons) Re-read p16-24 and ch 7. pp 95-101;109-112.	Symmetry Day: Bring to class an example of a natural or synthetic physical object that has a non- trivial group of symmetries together with your description of those symmetries. You may bring either the physical object itself or a sketch of the object.
5	Pedoe Barr Plato	pp. 75-6; 261-267 pp. 1-10 The metaphor of the cave.	Platonic and Archimedean solids, Plato, and Kepler. The Platonic solids is an interesting site with Java viewers for interactive manipulation created by Peter Alfeld of Univ. of Utah. (Introduction to Topology) (On Handout.)
6	Pedoe Barr Stewart	pp. 265 - 267 , pp75-76 (again) pp. 10 - 23 ch 11: pp159-166	(Semi-regular solids) (Euler's formula, the torus) (Networks and Euler's formula)
7	Barr Pedoe Stewart	pp. 23-31 ; pp.108-119 pp. 173-177 pp. 273-284 pp13-18; pp 215-220	( The Moebius strip, orientability, and dimension.) (Map Coloring.) Cartesian coordinates Flatland; the Fourth dimension introduced. Coordinates Lines and transformations
8	Barr Pedoe Stewart	pp. 23-39 pp. 273-284 pp 144-153	Repeat reading and New Surfaces- the Klein Bottle Flatland; the Fourth dimension introduced.(repeated) A Visualization of 4d hypercube (Java applet). Topology- the moebius band and the Klein bottle
9	Barr Pedoe Stewart Zeno's Paradoxes	pp. 62 - 72 pp 136-148 pp. 82-85 pp. 102-107 pp127-138	More about the Klein Bottle More about the Torus. The Infinite (Zeno's Paradoxes and the infinite.) Finite and Infinite Sets
10	Barr Stewart Pedoe	pp. 78 - 84 pp. 149-154 pp148-155;174-179 pp82-92 middle	Intro to Cross Caps and the Projective Plane Another look at infinite sets. Constructing surfaces in general DaVinci and more on infinity
11	Pedoe Barr A&S Stewart	pp. 44 - 58 pp. 78 - 84 pp 136-148 pp 1-3 pp 200-209	Scale and proportion. (Durer and perspective drawing ) Intro to Cross Caps and the Projective Plane (review) Turning a Punctured Sphere inside-out. (review) (Beginning to discuss configurations) Into Hyperspace.
12	Stewart Pedoe A&S	pp229-234 pp215-220 pp. 44 - 58 Sections 3 and 6.	Adding the infinite and limits. Linear Transformations (Projective Geometry) (Durer and perspective drawing) (Projection and Ideal elements)
13?	Pedoe A&S	p. 134-138 p. 58-65; p. 173-184 Section 11.	(Kepler's Planetary Theory) (Conics and cartesian geometry) (Continuation of Projective geometry) (Durer, conics and perspective drawing cont'd.) (Cartesian & Projective geometry-Desargue again) (Desargue's Theorem)
14?	Pedoe	pp.184-192	(Euclid's Axioms) (Non-Euclidean Geometries) (Drawing & projective geometry)

Resource List for Portfolio Entries

The following list contains suggestions for finding resources as well as the names of resources that may be used for one or more portfolio entries. Before reading an article in one of these resources thoroughly it is advisable to scan it quickly to see that it contains something of interest to yourself. Your portfolio entry can report on the content of your reading, illustrate it by examples, and/or follow up on it with your own response and creativity.
These articles may also be useful in developing a deper level of understanding on a topic which will suppport your term project. I will add to this list as the term progresses.

Use Visual Mathematics web sites for surfing visual mathematics and geometry.

Looking for ideas for your portfolio or a project? Try David Eppstein's Geometry Junkyard. This contains many wonderful and neat resource references!

Use articles from old Scientific American magazines (located outside my office at Library 48)

(Older issues) Martin Gardiner's articles are usually short and clear enough to provide material for one or even two even entries.
(More recent issues) Ian Stewart 's articles are similar and about as playful as the Gardner pieces.
Some issues have had articles on special topics that are relevant to our interests. These are usually longer and require a little more effort to digest - though well worth the effort.

"Topology" by Tucker and Bailey, 1950, pp 8-24.

A number of liberal arts / mathematics textbooks contain chapters that would be suitable for reporting.

Mathematics: the Man-made Universe by Sherman Stein.
Excursions into Mathematics by Beck, Bleicher, and Crowe.
What is Mathematics? by Courant and Robbins.
The World of Mathematics by Newman.

The library has a collection of films and videos that are relavant to our interests.

For All Practical Purposes (COMAP)
Some of the history of mathematics videos from the Open University Series (BBC)

There are several non-text mathematics books and collections of essays similar to the required book by Stewart. Two of these are on the recommended list and are in the book store- Devlin's Mathematics: The Science of Patterns and Banchoff's Beyond the Third Dimension. Martin Gardiner has many books full of puzzles and recreations many of which are relevant.

The Problems of Mathematics by Ian Stewart.
The Mathematical Experience by Philip Davis and Reuben Hersh