Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.
Calculus: Single Variable Part 2 - Differentiation
宾夕法尼亚大学課程信息
39,062 次近期查看
學生職業成果
50%
完成這些課程後已開始新的職業生涯
33%
通過此課程獲得實實在在的工作福利
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6 小時
英語（English）
字幕：英語（English）, 西班牙語（Spanish）, 中文（簡體）
您將獲得的技能
Differential (Mathematics)Newton'S MethodLinear ApproximationDifferential CalculusDerivative
學生職業成果
50%
完成這些課程後已開始新的職業生涯
33%
通過此課程獲得實實在在的工作福利
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6 小時
英語（English）
字幕：英語（English）, 西班牙語（Spanish）, 中文（簡體）
提供方
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.
教學大綱 - 您將從這門課程中學到什麼
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.
完成時間為 2 小時
3 個視頻 （總計 45 分鐘）, 2 個閱讀材料, 4 個測驗
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
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.
完成時間為 2 小時
5 個視頻 （總計 66 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
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.
完成時間為 2 小時
3 個視頻 （總計 38 分鐘）, 1 個閱讀材料, 5 個測驗
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
審閱
來自CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION的熱門評論
由 JB 提供2018年2月17日
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.
由 WG 提供2017年2月16日
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.
由 U 提供2016年1月16日
This module is great. The thing I like most is how professor implements the theory into Physics and other realistic models. Ive also begun liking statistics a little bit. Now, part 3.
由 NS 提供2018年6月29日
It's really a learning experience. Questions have the practical approach. It provides a wider prospective of knowledge and application. Thank you for being a part this group.
常見問題
我什么时候能够访问课程视频和作业？
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
- The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
- The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
完成课程后，我会获得大学学分吗？
此课程不提供大学学分，但部分大学可能会选择接受课程证书作为学分。查看您的合作院校，了解详情。Coursera 上的在线学位和 Mastertrack™ 证书提供获得大学学分的机会。
還有其他問題嗎？請訪問 學生幫助中心。
