变换思想在重积分三大公式讲授中的应用

Application of Transformation in Teaching Three Multiple Integral Formulas

就Green公式、Gauss公式和Stokes公式这一教学中的重点和难点问题,针对传统的教学方法对积分区域进行"补"或"挖"处理的不足,探讨使用变换的思想从变换的角度来讲解三大定理的应用,揭示定理的核心问题,以便帮助学生理解和掌握.

Green formula, Gauss formula and Stokes formula are important but difficult to grasp for students in multi-Calculus course. Traditional teaching methods tend to emphasize on dealing with the integration region by ＂patching＂ or ＂digging＂. How to select and determine the direction of the borders often confuses students. This paper discusses these formulas using transformation, which represents the core issues better and enables students to understand and use these formulas more easily.