M333L STRUCTURE OF MODERN
GEOMETRY
Prerequisite and degree relevance:
The
prerequisite is 408D or
upper-division standing and consent of the instructor, this
is for the development
of
mathematical maturity rather than direct utilization of concepts and
is waived by the instructor
in some
cases--most notably a specialization in mathematics.
M333L is required for students
seeking certification to
teach secondary school mathematics.
Course description:
The course is
designed to familiarize prospective mathematics teachers with the geometrical concepts which
relate to two
and three dimensional geometry and the mathematical techniques used in the study of
geometry. The emphasis
is both on the development of understanding of the concepts and the ability to use
the concepts in proving
theorems. The course includes study of axiom systems, transformational geometry,
and an introduction to
non-Euclidean geometries, supplemented by other topics as determined by the
instructor. While the course is
primarily designed for teachers, its content and approach may be of
interest to other students of
mathematics.
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