MATH325: Foundations of Geometry
Syllabus | Schedule | Grading Keys/Rubrics
Instructor: Heidi Burgiel
Description: In this course, students will broaden their
understanding of Euclidean geometry; study finite geometries,
geometric transformations and non-Euclidean geometries; write
geometric proofs; construction problems; and apply geometric concepts
to real-world situations.
Objective: To instill in future teachers a profound understanding of the fundamental concepts of geometry.
- Know Euclid's five axioms and the implications of accepting, changing or omitting an axiom.
- Prove theorems based on a given set of axioms, lemmas, and previously proved theorems.
- Be able to follow or provide step by step instructions for geometric constructions.
- Understand that deductive proof is the framework on which modern mathematics was constructed.
- Write and solve complex geometric problems appropriate to an advanced high school geometry class.