Math 330B Homepage - Spring 2004
Welcome to the homepage for the most revision version of Math 330B. The first topic covered in the course will be transformational geometry. Lecture notes, hard copies of worksheets and so on will be available on this page.
Important Announcements!
The study guide for the final exam: web. pdf.
An answer key to the second exam: web, pdf
Course Information
The course syllabus (pdf) and the rough guide to grading.(pdf).
This is the link to the web based worksheets: link
Motions in the Euclidean Plane
Here are some notes on similar triangles and the Pythagorean theorem: web, pdf. While we won't go through everything in these notes, they are still a nice set of results that give some of the background for results that appear in the high school geometry course. One of the results in these notes is that one can compute the area of a triangle using any altitude and base; recall that this isn't true in either hyperbolic or spherical geometry.
Here are some lecture notes on the connections between transformational geometry and matrices: web, pdf
Here is a copy of the homework on trigonometry and similarity: web, pdf and solutions (web, pdf).
The new groups (web) and the first progress report (web, pdf). Since the solutions will require quite a bit of mathematical notation, there is NOT a web worksheet for this progress report. There is, however, a worksheet to write your answers on.(pdf). Here are some solutions for this progress report: web, pdf
The second progress report on distance functions and the ruler postulate (web, pdf) along with the first worksheets (pdf). As before, there is not a web worksheet associated with this progress report. Solutions to the progress report on reflections, rotations and matrices (web, pdf).
The study guide for the second exam: web, pdf
Transformational Geometry
These are the group assignments for the first project: web
The basic axioms of transformation geometry: web, pdf
The first progress report: web, pdf. Solutions to the first progress report and notes for the fixed line theorem: web, pdf
The second progress report: web, pdf. Lecture notes for the theorems on three lines and solutions to the second progress report: web, pdf
The third progress report: web, pdf. The lecture notes for the "pencils of lines" lecture and solutions to the third progress report: web, pdf
The first homework assignment: pdf
Solutions to the first homework assignment: web, pdf
The fourth progress report: web, pdf. Solutions to the fourth progress report: web, pdf