Additional Notes and Files

• Here is a list of study topics for the final exam.
• Here are two (partial) proofs of the Fundamental Theorem of similarity.
• Here is the Triangle Congruence and Similarity Theorems powerpoint.
• Here are the files we used in our initial discussion of transformations:
  • The New Flagpole.
  • Light Reflection.
  • Tricky Pool.
  • Definitions of Transformations.
  • Possible axioms for (Euclidean) transformation geometry.
• Here is the Nebulae distance and speed data we used to discuss methods of fitting lines to data.
• Here are the files we used in our initial discussion of the function concept:
  • Lobster Growth.
  • Caterpillar Position.
  • Function or Not?
  • Some historical definitions of “function”.
• Here is a list of study topics for the midterm exam.
• Here are some powerpoint slides on Geometry and Pre-Calculus, including Cavalieri’s Principle.
• Here is an Excel spreadsheet which implements Archimedes’s method for approximating .
• Here is the presentation for Kou-Ku and the Peacock’s Tail.
• If you are interested in seeing a complete proof of the unique factorization theorem for polynomials over a field (with some notes on polynomials with integer coefficients), you can read this set of notes.
• Euclidean Algorithm for Polynomials worksheet.