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1·You know vector calculus but you can't remember how to do long division.

你懂得向量微积分，但你不记得如何做长除法。

2·And so that was stuff about double and triple integrals and vector calculus in the plane and in space.

也就是二重和三重积分的内容，以及平面和空间中的向量积分。

3·Some knowledge of vector calculus assumed. Maxwell's equations, in both differential and integral form.

像是向量微积分、微分和积分形式的麦斯威尔方程序。

4·Within differential geometry are the concepts of fiber bundles and calculus on manifolds, in particular, vector and tensor calculus.

微分几何包含这样的概念：纤维束和流形上的微积分，特别是矢量与张量微积分。

5·This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.

本课程主要内容包括：向量代数与空间解析几何、多元函数微积分、无穷级数等。