课程信息
4.8
367 个评分
70 个审阅
100% 在线

100% 在线

立即开始,按照自己的计划学习。
可灵活调整截止日期

可灵活调整截止日期

根据您的日程表重置截止日期。
完成时间(小时)

完成时间大约为13 小时

建议:6-8 hours/week...
可选语言

英语(English)

字幕:英语(English), 中文(简体)

您将获得的技能

Differential (Mathematics)Newton'S MethodLinear ApproximationDifferential CalculusDerivative
100% 在线

100% 在线

立即开始,按照自己的计划学习。
可灵活调整截止日期

可灵活调整截止日期

根据您的日程表重置截止日期。
完成时间(小时)

完成时间大约为13 小时

建议:6-8 hours/week...
可选语言

英语(English)

字幕:英语(English), 中文(简体)

教学大纲 - 您将从这门课程中学到什么

1
完成时间(小时)
完成时间为 2 小时

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 个视频 (总计 45 分钟), 2 个阅读材料, 4 个测验
Video3 个视频
Derivatives17分钟
Differentiation Rules16分钟
BONUS!11分钟
Reading2 个阅读材料
How Grading Works10分钟
Your Guide to Getting Started in this Course10分钟
Quiz4 个练习
Core Homework: Derivatives16分钟
Challenge Homework: Derivatives4分钟
Core Homework: Differentiation Rules18分钟
Challenge Homework: Differentiation Rules6分钟
2
完成时间(小时)
完成时间为 2 小时

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 个视频 (总计 66 分钟), 6 个测验
Video5 个视频
Higher Derivatives14分钟
BONUS!9分钟
Optimization16分钟
BONUS!8分钟
Quiz6 个练习
Core Homework: Linearization12分钟
Challenge Homework: Linearization4分钟
Core Homework: Higher Derivatives12分钟
Challenge Homework: Higher Derivatives2分钟
Core Homework: Optimization10分钟
Challenge Homework: Optimization8分钟
3
完成时间(小时)
完成时间为 2 小时

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 个视频 (总计 38 分钟), 1 个阅读材料, 5 个测验
Video3 个视频
Differentiation Operator13分钟
BONUS!6分钟
Reading1 个阅读材料
About the Chapter 2 Exam10分钟
Quiz5 个练习
Core Homework: Differentials12分钟
Challenge Homework: Differentials8分钟
Core Homework: Differentiation Operator12分钟
Challenge Homework: Differentiation Operator10分钟
Chapter 2: Differentiation - Exam20分钟

讲师

Avatar

Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering

关于 University of Pennsylvania

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. ...

常见问题

  • 注册以便获得证书后,您将有权访问所有视频、测验和编程作业(如果适用)。只有在您的班次开课之后,才可以提交和审阅同学互评作业。如果您选择在不购买的情况下浏览课程,可能无法访问某些作业。

还有其他问题吗?请访问 学生帮助中心