讨论了反例在数学理论中的特殊作用，并给出了几个在多元函数微分学教学中应用的特例。

The special role of counterexamples in mathematics theory is discussed. Several special examples used in teaching differential of multi-function are given.

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课程内容包括空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。

This course consists of several major parts such as vectors and analytic geometry derivatives integration and series.

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课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。

This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.

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