玛丽亚·德鲁伊科娃是“自然数学”的创始人之一，她曾向5岁的儿童教授基础微积分概念。
Maria Droujkova is a founder of Natural Math, and has taught basic calculus concepts to 5-year-olds.
他将宇宙视为上帝用密文书写的文件——恰如他与莱布尼兹通信时，把自己关于微积分的发现用一种加密的方式书写一样。
He regarded the universe as a cryptogram set by the almighty-just as he himself wrapt the discovery of the calculus in cryptogram when he communicated with Leibnitz.
他会掌握微积分的，因为他一直在温习这门课程。
他也是一位杰出的数学家，微积分的发明者之一。
He was a brilliant mathematician; he was one of the inventers of Calculus.
(毕竟，牛顿发明了微积分本来就是为了解决一个物理问题通常你可以申请在：太阳系中的月球和行星轨道问题)。
After all, Newton invented calculus in order to solve a physics problem: the orbit of the moon and planets in the solar system.
这正好可以支持高校学生提出的抱怨的观点：“当我想要读英语专业时为什么需要学微积分以进入一个好学校呢？”
This could support the argument of high school students who complain, "Why do I need to take calculus to get into a good college when I plan to be an English major?"
在1738年，丹尼尔试图用微积分来解决一个概率论和赌博理论里的问题，无意间却发现了货币的边际效用递减法则的概念。
In 1738, Daniel, trying to solve a problem in probability theory and the theory of gambling by use of the calculus, stumbled on the concept of the law of diminishing marginal utility of money.
有一天晚上詹尼佛在写微积分作业，阿曼达则是上网聊天。
One night, Amanda was chatting on the Internet while Jennifer did her calculus homework.
在迈阿密——娜米。巴提斯特去南迈阿密海滨高中上学的第一天，走进微积分准备课程的课堂时，她以为她会见到一名教师。
Miami - On the first day of her senior year at North Miami Beach senior High School, Naomi Baptiste expected to be greeted by a teacher when she walked into her precalculus class.
牛顿受到梅文鼎的微积分的启发，毕其一生都试图用微积分来解码宇宙的奥秘——最后却收效甚微。
Newton, inspired by the beauty of Mei's calculus, devoted his life to showing that its fluxions and fluents unlocked the secrets of the universe - but to no avail.
我指的是，在这种形式下，它和一元微积分的表述是一样的。
I mean, in this form, actually it's the same statement as in single variable calculus.
高科技高中的一个完全基于数学原理的美术作业“美味微积分”，就挂在圣地亚哥机场里。
A High Tech High art project called Calculicious, based entirely on math principles, now hangs in the San Diego airport.
节后(高中最后一学期初)，我去找微积分老师交给他厚厚的一摞纸张。
After the holiday break (at the start of my final semester of high school), I went up to my calculus teacher and handed him a big stack of papers.
作为引子，你们可能已经知道了，一元微积分里面的一个小把戏，也就是求隐函数微分法。
And, just to motivate that, let me remind you about one trick that you probably know from single variable calculus, namely implicit differentiation.
微积分——这一个千年最伟大的无形发明之一，也造成了一场最痛苦的智力之战。
And one of the most profound intangible inventions of the millennium was also the cause of one of its bitterest intellectual battles.
这里，在多元微积分里面也一样。
微积分是数学史上的一次重大突破，因为她使连续变量可以被处理。
Calculus was a mathematical breakthrough, because it dealt with continuously varying quantities.
你会发现这是他它的第一卷，并且第二卷也值得去读：微积分卷2：多远微分与与线性代数及其应用。
You may want to note that this is the first volume, and that the second volume is also worth getting: Calculus, vol. 2: Multi-Variable Calculus and Linear Algebra with Applications.
非常好，这是一元微积分中，你们至少应该记住的。
Very good. OK, that's at least one thing you should remember from single variable calculus.
相当于在一元微积分中，取一个函数的不定积分，仅仅需要在结果后加一个常数。
It is the same thing as, in one variable calculus, when you take the anti-derivative of a function it is only defined up to adding the constant.
一旦你开始学习代数，四则运算看起来就很简单了。当你学到微积分，四则运算简直就是小儿科。
Arithmetic looks easy once you start with algebra, which seems trivial once you go onto calculus.
如果说你要知道，关于一元微积分中所有的求导法则。
Let's say that you want to understand actually all these rules about taking derivatives in single variable calculus.
MathCAD组合了一个庞大的功能库，包括微积分、拉普拉斯变换、贝塞尔函数、统计和财务函数。
MathCAD combines a large library of functional capability including calculus, Laplace transforms, Bessel functions, statistics, and financial functions.
“我从来没上过一节物理或者微积分课程”他告诉Lewin教授。
"I had never taken a course in physics, or calculus, or differential equations," he wrote to Professor Lewin.
面对机械制图、微积分以及其他一些课程，她完全不知所措。
She was at a loss over mechanical graphing, calculus, and other courses.
在加利福尼亚大学洛杉矶分校(ucla)二年级学习微积分课程时，Moradian经历了一段特别痛苦的时间。在那之后Mike Moradian就想：如果学生们对教授本人的评级了解的越多，那么他们一定会从中受益。
After experiencing a particularly rough time in a calculus class during his sophomore year at UCLA, Mike Moradian began to think students could benefit from knowing more about how professors grade.
那微积分呢？每个人都学它，所以它也一定是重要的，对吗？
What about calculus? Everyone teaches it so it must be important right?
那微积分呢？每个人都学它，所以它也一定是重要的，对吗？
What about calculus? Everyone teaches it so it must be important right?
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