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.
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Calculus: Single Variable Part 2 - Differentiation
宾夕法尼亚大学課程信息
11,194 次近期查看
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立即開始，按照自己的計劃學習。
完成時間大約為10 小時
英語（English）
字幕：法語（French）, （歐洲人講的）葡萄牙語, 中文（簡體）, 俄語（Russian）, 英語（English）, 西班牙語（Spanish）
您將獲得的技能
- Differential (Mathematics)
- Newton'S Method
- Linear Approximation
- Differential Calculus
- Derivative
可靈活調整截止日期
根據您的日程表重置截止日期。
100% 在線
立即開始，按照自己的計劃學習。
完成時間大約為10 小時
英語（English）
字幕：法語（French）, （歐洲人講的）葡萄牙語, 中文（簡體）, 俄語（Russian）, 英語（English）, 西班牙語（Spanish）
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.
授課大綱 - 您將從這門課程中學到什麼
完成時間為 3 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 3 小時
3 個視頻 （總計 45 分鐘）, 2 個閱讀材料, 4 個測驗
完成時間為 4 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 4 小時
5 個視頻 （總計 66 分鐘）
完成時間為 3 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 3 小時
3 個視頻 （總計 38 分鐘）, 1 個閱讀材料, 5 個測驗
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 AA 提供2021年6月18日
This course is highly interactive. You'll never experience boredom. This is recommendable to learners of standard level. Remember you should have at least studied calculus at high school.
由 SX 提供2020年9月1日
I learned a lot from this course.With animation to explain the formula,makes it easily to be understood.The learning of calculus laid the foundation for my future study.Thanks,professor.
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