面向工科实验班的解析几何课程建设状况解析

Analysis on the Construction of the Analytic Geometry Course for Engineering Experiment Classes

解析几何课程是高中平面解析几何的推广。将几何问题代数化,主要研究各种平面、曲面、曲线及方程表示(以显式,隐式,参数式为主)。该课程既为多变元微积分(重积分,向量场积分)计算提供基础,又为抽象的代数课程提供几何依据。本文主要介绍中国民航大学中欧航空工程师学院工科实验班高等数学课程群中解析几何的建设现状。

The analytic geometry course is the generalization of senior high school plane analytic geometry.It turns geometric problems into algebra problems,mainly researching various planes,surfaces,curved surfaces and equation representations(mainly explicit,implicit and parametric).This course provides the basis for multivariate calculus(re-integration,vector field integration)calculations and geometric basis for abstract algebra courses.This paper mainly introduces the status quo of analytic geometry construction in the higher mathematics course group of the Engineering Experiment Class of the Sino-European Institute of Aviation Engineering of Civil Aviation University of China.