EPTAssigned Reading:
http://math.rutgers.edu/~useminar/sideboard.pdf - Summary
http://math.rutgers.edu/~useminar/ortho.pdf - Orthogonal matrices summary
http://math.rutgers.edu/~useminar/orthogonal-6pages.pdf - Orth. Matrices extended
http://www-history.mcs.st-andrews.ac.uk/~john/geometry/Lectures/L2.html - Topics in geometry
http://www-history.mcs.st-andrews.ac.uk/~john/geometry/Lectures/L4.html - Topics in geometry
http://www.math.rutgers.edu/~useminar/isometry.pdf - Isometries
Wikipedia and other mathematical sources
http://en.wikipedia.org/wiki/Euclidean_group (++)
http://www.math.uconn.edu/~kconrad/blurbs/grouptheory/isometryRn.pdf
Global positioning.
In the text ch's:
Essentials (Background Information):
http://en.wikipedia.org/wiki/Homomorphism#Definition - Homomorphism
http://en.wikipedia.org/wiki/Group_homomorphism - Specifically in Groups
http://en.wikipedia.org/wiki/Orthogonal_matrix#Group_properties - Orthogonal Matrix Properties
http://en.wikipedia.org/wiki/Linear_map - Linear maps
http://en.wikipedia.org/wiki/Determinant#Properties_characterizing_the_determinant
Structure:
- Review of Orthogonal Matrices
- Brief overview of isometries
*The rest of the terms I can probably integrate in as I go, as long as they're familar with those two concepts they should be able to follow along*
Presentation:
-Terms and theorems sheet. I'll leave space so they can write in the proof as I go through it.
- I can read of the sheet, but I won't be able to use my packet since it lacks order. Restructing needs to be done.
*I need to meet with the professor to get a better idea of what the scope of my lecture is*
