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Hashemite University Euclidean Geometry Faculty of Science Pre-requisite: No Department of Mathematics Second Semester 2014/2015 Course Title Course Number Course Credits Course Time Course Duration Prerequisite(s) Instructor Office Location Office Phone Office Hours E- mail Course Web Site: Title Author Publisher Year Edition References(s) (101261) 3 Credit Hours Course Syllabus Course Information Euclidean Geometry 101261 3 Hours One semester No prerequisite Dr. Ramzi Albadarneh IT, the first Floor, office number 121 +962(05)3903333 - 4495 [email protected] Text Book EUCLIDEAN and NON –EUCLIDEAN GEOMETRIES Marvin Jay W. H. Freeman and Company, New York Greenberg. 1994 Third Edition 1) ADVANCED EUCLIDEAN GEOMETRY, BY ROGER A. JOHNSON, Under the Editorship of John Wesley Young. 2) Euclidean and Non-Euclidean Geometries, Informal Lecture Notes By Mowaffaq Hajja, 2010. First Exam Second Exam Final Exam 3) H. S. M. Coxeter “ Non – Euclidean Geometry (1965 ). 4) Roads To geometry ( Third Edition ) ( 2004 ) By: E. C. Wallace & S. F. West. Grading plan 30 % 30 % 40 % Course Objectives To study axiomatic system, Euclidean geometry as an axiomatic system and to study some important theorem in Euclidean geometry and finally we study an example of non Euclidean geometry. Teaching and Learning Methods Solving problems with discussion. Course Contents Topics Axiomatic Methods Methods of proof Survey of the origins of geometry, Euclid's postulates, the parallel postulate and discussion of its attempted proofs Incidence geometry Models Isomorphism of models Hilrebert's Axioms The Betweenness Axioms and propositions First Exam The Congruence Axioms and propositions The Continuity Axioms and propositions Axiom of parallelism Neutral Geometry Geometry without the parallel axiom Alternate interior angle theorem Exterior angle theorem Second Exam Measure of angles and segments Saccheri-Legendre theorem Equivalence of parallel postulates Angle sum of a triangle Circle Final Exam