Course Objectives: Upon completion of MATH 325, students will be able to:
- Use technology to conduct geometric experiments, construct, interpret and form conjectures about geometric objects, form opinions on the validity of geometric statements, and if necessary, revise statements based on these experiments.
- Explain the role of axioms and undefined terms in a mathematical theory.
- Develop proofs using a variety of proof strategies (direct, contradiction, etc.) and perspectives (Euclid's Elements, coordinate algebra, transformational geometry) and suggest possible proof methods for a given statement.
- Explain, define, and analyze geometric vocabulary.
- Explore, discover, form conjectures and develop proofs about Euclidean geometric relationships among classes of two-dimensional objects, such as, congruence, similarity, parallelism, concurrence and symmetry.
- Explore, discover, form conjectures and develop proofs in non-Euclidean geometries, such as, taxicab geometry and hyperbolic geometry.
- Determine if a function is a metric; compare and contrast standard and non-standard metric units.
- Read, critique, discuss, organize and present geometric arguments.
- Faculty: Kimberly Muller