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.
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.
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.
他还爱上了几何学以及几何学中的定理证明，到16岁时就已经精通微积分了。
He fell in love with geometry and its clear proofs, and mastered calculus at age 16.
无论你使用几何学，三角形学或者微积分法，你都。
No matter whether you use geometry, trigonometry or calculus, you use the simple rules of arithmetic.
牛顿研究微积分着重于从运动学来考虑，莱布尼茨却是侧重于几何学来考虑的。
Newton's study focused on the calculus from the kinematic considerations, Leibniz is focused on the geometry to be considered.
牛顿研究微积分着重于从运动学来考虑，莱布尼茨却是侧重于几何学来考虑的。
Newton's study focused on the calculus from the kinematic considerations, Leibniz is focused on the geometry to be considered.
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