mth405 | undergraduate
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Transformations and Constructions
- Develop proofs for isometries.
- Analyze the compositions of transformations.
- Perform basic constructions with straight-edge and compass.
Hyperbolic Geometry and Geometric Models
- Prove simple theorems of hyperbolic geometry.
- Construct objects in the Poincaré Disk.
- Perform calculations in the Poincaré Disk.
Axiomatic Systems and Incedence and Plane Geometries
- Solve elementary geometry problems.
- Demonstrate properties of components of axiomatic systems.
Neutral and Euclidean Geometries
- Prove elementary theorems in neutral geometry.
- Prove theorems in Euclidean Geometry.
- Develop proofs related to Euclid’s Playfair Postulate.
Area and Circles
- Develop geometric proofs for area.
- Demonstrate relationships between circles and other geometric shapes.
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