CONCEPTS OF GEOMETRY

Instructor | Orlando Merino, merino@math.uri.edu, 874-4442, Lippitt Hall 101C |

Office Hrs | To be announced |

Text | Euclidean and Non-Euclidean Geometry, by Marvin J. Greenberg, 4th Edition, W.H.Freeman Co. ISBN: 978-0-7167-9948-0 The text will be supplemented with additional material. |

Topics | Euclid's Geometry and Historical Perspective, Logic and Incidence Geometry, Hilbert's Axioms of Euclidean Geometry, Euclidean Geometry, The Parallel Postulate, Angles, Segments and Measures. Polygons and the Area Postulates. Similarity, Circles. |

Evaluation | Midterm Exam (25%), Final Exam (25%), Assignments (25%), Presentations (25%). |

About the Course | This course is an introduction to Euclidean Geometry. We will explore the axiomatic systems and the development of Geometry. In this class you will do mathematical proofs and exposition of mathematical topics. |