COURSE SYLLABUS Course Number: MATH6380 Course Title: INTERMEDIATE EUCLIDEAN GEOMETRY I Credit Hours: 3 Prerequisites: MATH2630 Corequisite: Objectives: An outline of the fundamental concepts and theorems of plane and solid Euclidean geometry with an introduction to higher dimensions. Regular polygons and polyhedra, symmetry groups, convexity, geometric extremum problems. Geometric transformations and their invariants. Course content: (30 class days + 11 days for solving problems + 4 days for tests) Review of basic techniques to prove geometric facts (indirect proof, maximum choice proofs) (3 days) Review of terminologies, geometry of triangles in the plane. (3 days) Constructions using compass and ruler only. (3 days) Five theorems which every teacher must know. (5 days) Congruence by dissections among polygons (4 days) Lattice polygons. (4 days) Tiling in the plane. (4 days) Painting the plane. (4 days) Possible textbooks: Notes prepared by W. Kuperberg Grading and Evaluation Procedures: Quizzes, tests, final exam. Other methods of evaluation are used at the discretion of the instructor. Statement related to polices on unannounced quizzes and class attendance and participation: Individual instructorss have different policies concerning class participation, homework grades and attendance, which are announced at the beginning of the semester.