MATH 3696:College Geometry

3 Class Hours 0 Laboratory Hours 3 Credit Hours
Prerequisite: A grade of C or better in MATH 2202
This is a rigorous development of geometry that starts with a close reading of Book I of Euclid’s Elements, moves on to geometry developed during the Arabic period and the Renaissance, then to non-euclidean geometries discovered during the 19th century. The course includes a treatment of Hilbert’s approach to Euclidean geometry and a brief treatment of real projective geometry. Students taking this course should have a serious interest in abstract mathematics.