MATH201 ELEMENTARY GEOMETRY
| Course Code: | 2360201 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 4.5 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Lecturer Dr. EMİNE YASEMİN TALU |
| Offered Semester: | Fall Semesters. |
Course Objectives
The first objective is to introduce the fundamental concepts of geometry. This includes studying the undefined terms (point, line, plane, etc.) and their use in making fundamental asumptions (axioms) that will form the basis of investigation into geometry. Then, finite geometries, Euclidean, hyperbolic, and projective geometries will be studied. The most of the time is devoted to studying Euclidean plane geometry and its ramifications.
The second objective is to reinforce the axiomatic nature of mathematics. This involves understanding the importance of establishing fundamental definitions and axioms before any substantive mathematical investigation begins.
The third objective is to develop an understanding of how geometry relates to the rest of mathematics.
Course Content
(Only for students of EME 413)Introduces the axiomatic structures in geometry; finite geometries, Euclidean and non-Euclidean geometries. Provides study in geometry and trigonometry including polygons, similar figures, geometric solids, properties of circles, constructions, right triangles, angle measurement in radians and degrees, trigonometric functions and their applications to right triangles, Phytagorean theorem, laws of sine and cosine, graphing of trigonometric functions, trigonometric identities, vectors and coordinate conversions.
Course Learning Outcomes
A student is expected to learn different ways of studying geometry and should have some knowledge
of hyperbolic and projective geometries.