Introduction to College Geometry

This course is designed to provide students with a survey of geometry and geometric methods. Students will be introduced to axiomatic systems and will be shown how different systems result in different geometries. The relationship between Algebra and geometry will be examined in terms of coordinates in the plane and space. The perimeter, area and volume formulas for elementary plane and solid figures will be derived and applied to practical problems. The nature of proofs and their development from basic principles will be emphasized as will computational methods and compass and straightedge constructions. Non-Euclidean geometry will be investigated.

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