MATH 260 - College Geometry

3 Credits
This course covers the essential topics of Euclidean geometry including i) axiomatic definitions of points, lines, angles, planes, and geometric shapes, ii) derivations and applications of formulas involving perimeter, area, surface area, and volume for two- and three-dimensional shapes, iii) proving theorems using concepts of parallel and perpendicular lines, congruence, and similarity, and iv) conic sections. The course will also include an exploration of non-Euclidean geometries including hyperbolic and spherical geometry.

Prerequisite(s): MATH 120
Course Learning Outcomes:
1. Derive formulas involving perimeter, area, surface area, and volume for two- and three-dimensional shapes.
2. Prove properties of two- and three-dimensional shapes in Euclidean geometry using geometric principles of points, lines, angles, planes, congruence, and similarity.
3. Analyze conic sections via their definitions involving a locus of points satisfying distance relationships.
4. Compare and contrast axiomatic constructions of various geometries including Euclidean and non-Euclidean geometries.
5. Solve problems related to measurement and measuring units including measurements of angle degree and radian, length, area, and volume.