Thursday, January 22

• Note : There is a smaller section of Math 103 (25-35 students) - with a more conventional organization and seats available:
 24606    MATH103     Contemporary Math   MWF   0800 0850    ART 027    Triana, Lourdes
• More Introduction to course organization.
• Web Materials
• Another example of "visual Math":
• My Name: Martin Flashman
• How to start a letter to me:  Hello ___________
•  Professor Martin Doctor Marty Flashman Mister Flash omit Omit Omit
• How many different openings are possible?
• We can visualize this problem with a "tree"
• This visualization allows us to count the possibilities easily...

• seeing there are 8 possibilities for each of 4 title branches
so that the total is 8*4 = 32 possibilities.
• This is an example of a visualization used to understand and solve a problem that initially is not connected to anything visual .
• Miscellaneous: Some topics we will study.
• The film lists as a guide to the course topics.
• The color problem.
• The Sphere  and the Torus.

• Who first showed the earth was a sphere?
Galileo
Magellan: Circumnavigated
Copernicus: Belief
Pictures from "outer space"
Curvature
• Flatland as social commentary/satire.

• Measurement and the Pythagorean Theorem (PT) [1.1]

• a2 + b2 = c2

• Measuring angles, lengths and areas.
• Squares, rectangles, parallelograms and triangles.
• Dissections, cut and paste methods of measurement.
• Cutting and reassembling polygons.
• The Square Me Puzzle.
• Do Pythagorean Activity Sheet

• Show video on PT
• Puzzles and Polygons [1.2]
• Flatland and the plane
• The triangle, quadrilateral, pentagon, and hexagon.
• More on measurements of angles and areas of polyons.
• Activity: 1.2 Ex. 4, 5, 6