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。

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

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经过他们的工作，微积分不再是古希腊几何的附庸和延展。

After their work, the calculus was no longer an appendage and extension of Greek geometry.

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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。

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

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