Meets:    TR 1:20–2:35pm,   BU 208.
Instructor:    Eric Moorhouse,   Ross 6³=216,   766-4394.

The final exam is scheduled for 1:15-3:15pm on Thurs Dec 13 in our usual lecture room, BU 208.  A sample exam is available below.  Pick up remaining homework from my office door.

Handouts/Links

•   Students and Teachers Working Together (UW policy on the rights and responsibilities of students and teachers)
•   UW Policy on Academic Honesty
•   Syllabus / Policies
•   Overview of Modern Geometries
•   Koch's Snowflake Curve
•   The Mandelbrot Set
•   List of fractals by Hausdorff dimension
•   Affine Planes: An Introduction to Axiomatic Geometry.  Thanks to Thor for catching a misprint in the earlier version distributed as a hardcopy in class
•   HW1 due Thurs Sept 20.  Average: 45/50.  Solutions
•   More on the axioms of affine plane geometry
•   SET: the daily puzzle
•   A mathematical explanation of the game Set®. Note on page 3 an example of a maximal set of points, no three collinear
•   Experimental design: an application of finite affine planes
•   Inflection points on cubic curves: another instance of finite affine planes
•   Download GeoGebra (freeware for Euclidean plane constructions) for your personal computer
•   HW2 due Thurs Oct 11.  Solutions.  Average: 41/50
•   Introduction to projective planes
•   On Tuesday October 2 we coordinatized the projective plane of order 7 using a deck of SpotIt® game cards.  Here is an interactive guide to the coordinates based on the choice of coordinates used during a previous semester (resulting from a different choice of initial quadrangle (0,0),(0,1),(1,0),(1,1)) - click on the SpotIt picture to open the interactive version.
•   Sample Test 1.  (Do not look at the solutions until you have worked through the sample test for yourself.)
•   Test 1 and solutions.  Average: 72/100
•   Inversive Plane Geometry
•   Straightedge-and-compass constructions demonstrated using animations
•   HW3 due Tues Nov 27.  Solutions.  Average: 86/100
•   George Gamow's inside-out universe from p.58 of One Two Three ... Infinity:  A hint of how inversion transforms the plane (or 3-space)
•   Optional re-take of Test 1 and solutions
•   Steiner chains of circles
•   Take-Home Test 2 due 5:00pm Thurs Dec 6.  Solutions.  Average: 85/100
•   Surfaces: Curvature and Geodesics
•   Reflections in the Euclidean and hyerbolic planes, visualized as symmetries of tessellations (regular tilings)
•   Chien-Shiung Wu's experiment
•   The projective plane of order 2 featured on p.362 of Road to Reality: A Complete Guide to the Laws of the Universe by Roger Penrose (2004)
•   Penrose Tiles
•   Sample final exam.  (Do not look at the solutions until you have worked through the sample test for yourself.)
•   Final exam and solutions

/ revised December, 2018