# Math 103 Spring, 2014 SUBJECT TO REVISION!

Week Assnm't Source  Chapter, pages and Investigations for Reading/Thought Comments, Web Sites to Visit, and other things
1and 2
Flatland

Truth...

Introduction, Preface, and Part I.

Preface, Navigating.
Ch.1 Doubt: 1.1
(14-22), 1.3 (35-36; 37-39)

Flatland is available on the web.
Over 30 proofs of the Pythagorean theorem!
Many Java Applets that visualize proofs of the Pythagorean Theorem

Tangram Introduction

Web references related to scissors congruence- dissections.
2 and 3
Flatland

Truth...

Ch.1: 1.2 (23-25; 29; 31-32)
1.5 (53,54, 56)

A wealth of materials can be found by going to this Tesselation Tutorial.
This might be a good time to visit Rug patterns and Mathematics exhibit plus...

Temple Grandin: The world needs all kinds of minds | Video on TED ...
4 and 5
Truth...
Ch.3: 3.1, 3.2, 3.3 (1-4), 3.5 (19-21)
Ch. 4: 4.1 (18-23), (25,26)
Ch.5: 5.4.4 (66-70)
Review: A wealth of materials can be found by going to this Tessellation Tutorial.
This might be a good time to visit Rug patterns and Mathematics exhibit plus...
You might want to visit the Geometry Center's Introduction to Tilings as well as the  Kali: Symmetry group page now .

6 and 7
Truth... Ch. 4: 4.2 (40-53); 4.3
Ch 5: 5.8 (95-103)
How We Classify Border Patterns
Wallpaper groups.
Rug patterns and Mathematics exhibit plus...
The Platonic solids  is an interesting site with Java viewers for interactive manipulation created by Peter Alfeld of Univ. of Utah.

8 and 9
Truth...
Ch. 5: 5.1 (1-5); 5.2 (16-26)
More to come. :)

10 ,11,and 12! Truth... Ch 4: 4.2 (40-53 again!) , 4.3
5.1 (1-15)
5.5 (80-84)
5.8 (TBA)
6.2
Maps and coordinates/ Cartesian coordinates
Models for geometry.

The Fourth dimension  A Visualization of 4d hypercube (YouTube).
Coding and numbers [wikipedia on Codes]
Prime Numbers
The Fundamental Theorem of Arithmetic
13-15
Functions of Proof
Truth...
THE ROLE AND FUNCTION OF PROOF : Introduction (on MOODLE)
5.8.  (95-100)
5.9
7.2 (assignment revised 4-30)
7.6 (pp 109-119) We will do many of these activities in class.
(Optional: 7.6 p120)

The Four-Color Theorem at mathworld.wolfram.com
"proof " summary of the four color theorem
Proof!
knights and knaves
Surfaces in topology

The Moebius strip,  The Klein bottle, orientability, and dimension.
Constructing surfaces in general

BELOW THIS LINE ALL ASSIGNMENTS ARE  TENTATIVE!

Perspective drawing
Projective Geometry
Configurations

13 and  14

There is material that reviews proportion, lines, and parabolas at the Purple Math website.
 Ratio & Proportion Graphing Overview Slope of a straight line Slope and Graphing Slope and y-intercept Function Notation Functions graphing quadratics Graphing: Quadratic Equations   How to Derive the Vertex Formula

## 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.

The content of the portfolio entry should relate specifically and directly to some visual mathematics. Personal observations , philosophical musings, and aesthetic judgments are not adequate connections to something visual by themselves to qualify as mathematical content.

These articles may also be useful in developing a deper level of understanding on a topic which will support your term project. I will add to this list as the term progresses.

• Several chapters from the course text will not be covered in class but can be used for portfolio entries. An entry based on our text should report on a selection of the included exercises along with the content of the chapter.
• Use my collection of Visual Mathematics web sites for surfing visual mathematics and geometry.
• Use articles from old Scientific American magazines (located outside my office at Library 48 and available from HSU on-line)
• (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 relevant 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.
• Mathematics: The Science of Patterns  by  K. Devlin
• Beyond the Third Dimension by T. Banchoff.
• 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