Geometry |
KAMIDE, Norihiro |
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【Aerospace Engineering･1st semester】
18-1-1533-3816 |
| １． |
Outline |
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Euclidean geometry and projective geometry are explained based on the following theorems: (1) Ceva's theorem, (2) Menelaus' theorem, (3) Pascal's theorem, (4) Brianchon's theorem and (5) Desargues' theorem. An introduction to analytic geometry (Cartesian geometry) is given based on the following items: (1) conic sections (ellipse, parabola and hyperbola) and (2) quadric surfaces (ellipsoid, hyperboloid of one/two sheet(s), elliptic paraboloid, etc.). Some cutting-edge topics on modern geometry (topology, graph theory and computational geometry) are introduced.
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Objectives |
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The aim of this course is to understand the following items: (1) basic theorems in Euclidean geometry and projective geometry, (2) some applications of these basic theorems, (3) basic properties of conic sections, (4) standard forms of conic sections, (5) basic properties of quadric surfaces and (6) history and types of modern geometry.
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| １． |
Outline |
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Euclidean geometry and projective geometry are explained based on the following theorems: (1) Ceva's theorem, (2) Menelaus' theorem, (3) Pascal's theorem, (4) Brianchon's theorem and (5) Desargues' theorem. An introduction to analytic geometry (Cartesian geometry) is given based on the following items: (1) conic sections (ellipse, parabola and hyperbola) and (2) quadric surfaces (ellipsoid, hyperboloid of one/two sheet(s), elliptic paraboloid, etc.). Some cutting-edge topics on modern geometry (topology, graph theory and computational geometry) are introduced.
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| ２． |
Objectives |
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The aim of this course is to understand the following items: (1) basic theorems in Euclidean geometry and projective geometry, (2) some applications of these basic theorems, (3) basic properties of conic sections, (4) standard forms of conic sections, (5) basic properties of quadric surfaces and (6) history and types of modern geometry.
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Grading Policy |
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Textbook and Reference |
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Requirements (Assignments) |
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Note |
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Schedule |
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