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完成時間(小時)

完成時間大約為13 小時

建議:6-8 hours/week...
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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

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

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(小時)

完成時間大約為13 小時

建議:6-8 hours/week...
可選語言

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(小時)
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. ...
Reading
3 個視頻 (總計 45 分鐘), 2 個閱讀材料, 4 個測驗
Video3 個視頻
Derivatives17分鐘
Differentiation Rules16分鐘
BONUS!11分鐘
Reading2 個閱讀材料
How Grading Works10分鐘
Your Guide to Getting Started in this Course10分鐘
Quiz4 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(小時)
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....
Reading
5 個視頻 (總計 66 分鐘), 6 個測驗
Video5 個視頻
Higher Derivatives14分鐘
BONUS!9分鐘
Optimization16分鐘
BONUS!8分鐘
Quiz6 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(小時)
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....
Reading
3 個視頻 (總計 38 分鐘), 1 個閱讀材料, 5 個測驗
Video3 個視頻
Differentiation Operator13分鐘
BONUS!6分鐘
Reading1 個閱讀材料
About the Chapter 2 Exam10分鐘
Quiz5 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

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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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