Geometry2

KAMIDE, Norihiro
  Elective  1 credits
【Aerospace Engineering・1st semester】
15-1-0271

1.
Objectives
The aim of this course is to understand the following items: (1) basic properties of conic sections, (2) standard forms of conic sections, (3) basic properties of quadric surfaces and (4) history and types of modern geometry.
2.
Outline
In this course, an introduction to analytic geometry (Cartesian geometry) is given, and some cutting-edge topics on modern geometry are introduced. The contents of the lectures are then summarized as follows: (1) conic sections (ellipse, parabola and hyperbola), (2) quadric surfaces (ellipsoid, hyperboloid of one/two sheet(s), elliptic paraboloid, etc.) and (3) some aspects of modern geometry (topology, graph theory and computational geometry).