Improving the Innovative Ability in the Teaching of Analytic Geometry and Functional Analysis

In this paper, we study how to improve the innovative ability of students based on the teaching practice of the Analytic Geometry and Functional Analysis, how to permeate its important ideas, cultivate and improve students' self-learning ability, the ability of independent thinking and problem-solving ability through the teaching of the Analytic Geometry and Functional Analysis, and put forward some ideas and suggestions on teaching reform of the functional analysis.