Information on Math 331

Transformation Geometry

Call No. 2623

January 23, 2002

Error correction: April 8, 2002
TIME OF MEETING:Mon, Wed, & Fri 1:25 - 2:20.
PLACE:ES 139
INSTRUCTOR:W. F. Hammond, ES 137A, phone 442-4625.
Office hours: Mon. & Wed. 2:30 - 3:15
Email: hammond@math.albany.edu
World Wide Web: http://www.albany.edu/~hammond/
TEXT:Melvin Hausner, A Vector Space Approach to Geometry
Dover Publications, Inc., Mineola, N.Y.
PRE-REQUISITE:Math 220. Math 214 will also be useful.

BRIEF DESCRIPTION:

Isometries, similarities, and affine transformations for Euclidean geometry.

COURSE OBJECTIVE:

Course objectives include:

  1. Understanding how the notions of congruence and similarity in school geometry are best handled with the study of transformations.

  2. To become fully familiar with isometries, similarities, and affine transformations in the geometry of the Euclidean plane and of Euclidean space.

  3. Understanding both synthetic and analytic methods and gaining experience with deciding on the choice of method.

  4. Understanding how coordinate-free methods in geometry are related to coordinate-free methods in linear algebra.

  5. Understanding the role of transformation groups in geometry.

TEST SCHEDULE:

EventWeightDate
Final examination100Fri., May 17, 1:00-3:00 p.m.
Midterm test50Fri. Mar 15, in class
Short tests (5 @ 10 each)50
Total weight200

ATTENDANCE:

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.


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