Foundations of Geometry | |||
FOUND OF GEOM | |||
CLASS CODE: | MATH 302 | CREDITS: 3 | |
DIVISION: | PHYSICAL SCIENCE & ENGINEERING | ||
DEPARTMENT: | MATHEMATICS | ||
GENERAL EDUCATION: | This course does not fulfill a General Education requirement. | ||
DESCRIPTION: | Axiomatic treatment of finite geometries, transformation geometry, Euclidean and non-Euclidean geometries with emphasis on the historical significance of the Parallel Postulate. | ||
TAUGHT: | Fall | ||
CONTENT AND TOPICS: | |||
GOALS AND OBJECTIVES: | 1. Gain a solid background in the mathematical content of Euclidean and Non-Euclidean Geometry. 2. Learn to use various manipulatives and dynamic geometry software programs to understand and teach geometry. 3. Become fluent with reading and writing logically sound theorems and proofs and spotting the problems with unsound arguments. 4. Sharpen both oral and written communication skills. 5. Become acquainted with what geometric concepts are taught in secondary schools. 6. Gain practice and confidence in presenting geometric concepts to the class. 7. Learn the historical and cultural background of geometry. 8. Become familiar with applications of the subject. |
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REQUIREMENTS: | All students must have their own text. Assignments and exams are required by all faculty. Some faculty may require outside research, written mathematical proofs, portfolios, oral reports or other forms of assessment. |
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PREREQUISITES: | Math 301 | ||
OTHER: | |||
EFFECTIVE DATE: | August 2001 |