# Modern Geometry

Professor Hlas

hlascs (@) uwec.edu

Hibbard 530

*Each problem I solved became a rule, which served afterwards to solve other problems.*

—Rene Descartes

## Course Information

This course focuses on axiomatic thinking in Euclidean and non-Euclidean geometries. Emphasis will be on proof techniques, finite geometries, Euclidean constructions, transformations, spherical geometry, hyperbolic geometry, and geometry software.

More course information is posted on D2L.

### Goals

- Use interactive geometry software to make geometric conjectures.
- Understand axiomatic thinking.
- Write geometric proofs.
- Create a wikibook of important axioms, theorems, and proofs.

### Structure

- Updates to the wikibook
- Weekly group quizzes
- Two projects
- Two in-class exams
- Final exam

### Required

*Geometry & Symmetry*by Kinsey, Moore, & Prassidis, 2011- Euclid Elements (with applets)
- Geometry software
- Geometer's Sketchpad (via UWEC virtual lab)
- GeoGebra
- Spherical Easel
- NonEuclid