The course will begin with the discoveries of ancient mathematicians such as Archimedes, Eratosthenes and the Father of Geometry, Euclid. Advanced Euclidean geometry will be studied through rigorous deductive proof. The second half of the semester includes geometry based upon other axiomatic structures, specifically: non-Euclidean geometry, projective geometry, and fractal geometry. Prerequisite: MATH295 - Foundations of Abstract Mathematics.
MATH375 is a 3 credit course.