課程信息
4.8
400 個評分
75 個審閱

100% 在線

立即開始,按照自己的計劃學習。

可靈活調整截止日期

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完成時間大約為13 小時

建議:6-8 hours/week...

英語(English)

字幕:英語(English), 中文(簡體)

您將獲得的技能

Differential (Mathematics)Newton'S MethodLinear ApproximationDifferential CalculusDerivative

100% 在線

立即開始,按照自己的計劃學習。

可靈活調整截止日期

根據您的日程表重置截止日期。

完成時間大約為13 小時

建議:6-8 hours/week...

英語(English)

字幕:英語(English), 中文(簡體)

教學大綱 - 您將從這門課程中學到什麼

1
完成時間為 2 小時

A New Look at Differentiation

Think derivatives mean "slopes"? Not anymore... In this module, we will reconsider what a derivative is and means in terms of the asymptotic (or big-O) notation from the previous chapter. This will give us a new language for describing and understanding rates of change and the rules that govern them. ...
3 個視頻 (總計 45 分鐘), 2 個閱讀材料, 4 個測驗
3 個視頻
Derivatives17分鐘
Differentiation Rules16分鐘
BONUS!11分鐘
2 個閱讀材料
How Grading Works10分鐘
Your Guide to Getting Started in this Course10分鐘
4 個練習
Core Homework: Derivatives16分鐘
Challenge Homework: Derivatives4分鐘
Core Homework: Differentiation Rules18分鐘
Challenge Homework: Differentiation Rules6分鐘
2
完成時間為 2 小時

Putting Derivatives to Work

Why exactly are derivatives so central to calculus? In part, it is because they are so ubiquitously useful! In this module, we will recall a few core applications of derivatives. In so doing, we'll see exactly how having an understanding of the asymptotics assists in building applications of the derivative....
5 個視頻 (總計 66 分鐘), 6 個測驗
5 個視頻
Higher Derivatives14分鐘
BONUS!9分鐘
Optimization16分鐘
BONUS!8分鐘
6 個練習
Core Homework: Linearization12分鐘
Challenge Homework: Linearization4分鐘
Core Homework: Higher Derivatives12分鐘
Challenge Homework: Higher Derivatives2分鐘
Core Homework: Optimization10分鐘
Challenge Homework: Optimization8分鐘
3
完成時間為 2 小時

Differentials and Operators

There is much more to derivatives than simply their computation and applications. So much of how they arise is calculus is in the mysterious guise of *differentials*. These arise from implicit differentiation, which in turn reveals a deeper level of understanding of what differentiation means....
3 個視頻 (總計 38 分鐘), 1 個閱讀材料, 5 個測驗
3 個視頻
Differentiation Operator13分鐘
BONUS!6分鐘
1 個閱讀材料
About the Chapter 2 Exam10分鐘
5 個練習
Core Homework: Differentials12分鐘
Challenge Homework: Differentials8分鐘
Core Homework: Differentiation Operator12分鐘
Challenge Homework: Differentiation Operator10分鐘
Chapter 2: Differentiation - Exam20分鐘
4.8
75 個審閱Chevron Right

40%

完成這些課程後已開始新的職業生涯

29%

通過此課程獲得實實在在的工作福利

熱門審閱

創建者 JBFeb 18th 2018

So much fun, and hits all sorts of things I'd always wanted to know. The homework took me a long time, so I didn't get to watch all the bonus lectures, but the ones I did were really interesting.

創建者 WGFeb 17th 2017

Not a class for someone with no calculus experience. However, if you have some calculus knowledge it will deepen your knowledge more than any other MOOC I have found. Truly a great course.

講師

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Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering

關於 宾夕法尼亚大学

The University of Pennsylvania (commonly referred to as Penn) is a private university, located in Philadelphia, Pennsylvania, United States. A member of the Ivy League, Penn is the fourth-oldest institution of higher education in the United States, and considers itself to be the first university in the United States with both undergraduate and graduate studies. ...

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