COURSE SYLLABUS Course Number: MATH6860 Course Title: FOUNDATIONS OF NON-EUCLIDEAN GEOMETRY FOR SECONDARY SCHOOL TEACHERS Credit Hours: 3 Prerequisites: MATH 2630 Corequisite: Objectives: To present to the education major the elements of non-Euclidean geometry. To understand the nature and implication of assuming of not assuming the parallel line postulate. Thereby to obtain a more concrete understanding of geometry in all its facets. Schedule and Outline of Course Content: ( 2-3 weeks per topic). 1. The Axioms of Geometry 2. Development of Geometry without the Euclidean parallel postulate 3. Absolute Geometry 4. Hyperbolic Geometry 5. Examples and comparisons with Euclidean geometry Textbook: Elementary Geometry from an Advanced Standpoint, Edwin E. Moise, Addison Wesley Grading and Evaluation Procedures: Quizzes, tests, midterm exam, final exam. Other methods of evaluation are used at the discretion of the instructor. Statement related to policies on unannounced quizzes and class attendance and participation: Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester. JUSTIFICATION FOR COURSE AND JUSTIFICATION FOR GRADUATE CREDIT This course has been designed for secondary school teachers who are pursuing Master's degrees in education. Such students usually do not have the same preparatory background as mathematics majors and the course has been designed so that these students can receive graduate level instruction aimed for their specific background and needs. In addition to these graduate students, education majors and fifth year students who plan to teach mathematics in secondary schools register for the course. Credit for students who are not secondary education students may only be received by special permission of the mathematics department. As we have done in the past we intend to flag this course as one which is not available to majors or graduate students in the area of science and mathematics.