|TIME OF MEETING:||Mon, Wed, & Fri 2:30 - 3:25.|
|INSTRUCTOR:||W. F. Hammond, ES 137A, phone 442-4625.|
|Office hours: Mon. 3:30 - 4:30 & Wed. 10:00 - 11:00|
|World Wide Web: http://www.albany.edu/~hammond/|
|Course handouts and your course notes.|
|G. E. Martin, Transformation Geometry, Springer-Verlag.|
|T. Q. Sibley, The Geometric Viewpoint, Addison-Wesley.|
|The textbook from your linear algebra course.|
|PRE-REQUISITE:||Math 220. Math 214 will also be useful.|
Classical theorems of Menelaus, Ceva, Desargues, and Pappus. Isometries, similarities, and affine transformations for Euclidean geometry.
Course objectives include:
Understanding how the notions of congruence and similarity in school geometry are best handled with the study of transformations.
To become fully familiar with isometries, similarities, and affine transformations in the geometry of the Euclidean plane and of Euclidean space.
Understanding both synthetic and analytic methods and gaining experience with deciding on the choice of method.
Understanding how coordinate-free methods in geometry are related to coordinate-free methods in linear algebra.
Understanding the role of transformation groups in geometry.
|Final examination||100||Mon., May 17, 1:00-3:00 p.m.|
|Midterm test||50||Mon., Mar. 22, in class|
|Short tests (10 @ 5 each)||50|
Attendance at class meetings is a requirement for passing the course unless the student has been granted a special exception in advance. Unexcused absence may result in failure or grade reduction. There will be no retrospective excused absences from tests except for compelling emergencies and religious holidays.