MATH 335 - Foundations of Geometry

Credits: (3)

Instructional Method: Three hours lecture.
Prerequisites: MATH 235 or permission of instructor
The course presents a formal axiomatic development of Euclidean geometry with an emphasis on valid arguments. Development of spatial visualization and geometric modeling to explore and analyze geometric shapes, structures, and their properties from both formal and informal perspectives is an important part of the course. The content may be presented as a sequence of theorems, each rigorously proven using axioms and earlier theorems. The goal is to develop students’ deeper understanding of geometric content and their ability to think critically. Some attention is also given to non-Euclidean geometry.

Note(s): Scientific and Quantitative Reasoning designated course. For students who are taking both MATH 235 and 335, it is recommended to take MATH 235 before MATH 335.