Introduction to Geometry

Course Purpose
The purpose of this lecture course is to understand geometry of lines, planes, quadratic curves, and quadratic surfaces.
Learning Goals
Students should be able to solve fundamental problems of geometry of lines, planes, quadratic curves, and quadratic surfaces.
Topic
Session 1Real symmetric matrices and quadratic forms
Session 2Real symmetric matrices and quadratic forms (examples)
Session 3Orthogonal matrices and rotation matrices
Session 4Standard form of quadratic curve
Session 5Quadratic surface
Session 6Standard form of quadratic surface
Session 7Equation of hyperplane, distance between point and hyperplane
Session 8Parameterization and equation of straight line
Session 9Quadratic curve, center of quadratic surface
Session 10Standard form of quadratic curve (general case)
Session 11Standard form of quadratic surface (general case)
Session 12Tangent to a curve, tangent plane to a curved surface
Session 13Display of curve parameters
Session 14Display of surface parameters
Session 15Organize and review
＊＊This content is based on April 1, 2024. For the latest syllabus information and details, please check the syllabus information inquiry page provided by the university.＊＊