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.
提供方
Calculus: Single Variable Part 2 - Differentiation
宾夕法尼亚大学
課程信息
29,305 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
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。
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完成時間大約為14 小時
建議：6-8 hours/week
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
4.8
來自CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION的熱門評論
由 JB 提供Feb 17, 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.
由 WG 提供Feb 16, 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.
由 U 提供Jan 16, 2016
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Jun 29, 2018
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.
由 AC 提供Oct 24, 2016
This is, by far, the best course I have ever taken. I will take the Multivariable Calculus course when it is open, after finishing the 5 S.V.C. courses.
由 NP 提供Oct 23, 2017
Explanations are crystal clear, with a strong emphasis on developing a deep conceptual understanding of math rather than "calculating derivatives"
由 CC 提供Jun 28, 2018
This course has an appropriate amount of rigor for an intermediate math course. I was pleasantly surprised at how much I have learned.
由 GQ 提供Mar 16, 2019
some interesting applications of even the most basics of calculus, also finally a way to truely understand the second derivate test
由 SS 提供Oct 2, 2018
Great for reviewing concepts! Techniques for evaluating complex limits and the Taylor series have been explained very well.
由 OK 提供Sep 6, 2017
I am not giving 5 stars because of lack of proofs ! some topology i think is necessary to talk about calculus
由 LA 提供Nov 25, 2018
This course is good because there are challenging questions which helps you apply the concepts in calculus!
由 US 提供Feb 7, 2016
just excellent, please make one on linear algebra, discrete mathematics and multivariate calculus
由 MS 提供Mar 5, 2016
Recommended also for people who wants to review the topics after passing this subject in College!
由 PK 提供Sep 6, 2019
Gives a new perspective on derivatives and the clear insight into how a simple calculator works
由 GS 提供Nov 6, 2018
Excellent material. The way Prof G ties things together is awesome! Do this course.
由 HB 提供Oct 6, 2018
Excellent Course. Teaches you practical applications of differentiation.
由 DR 提供Jan 19, 2017
I thought I knew the subject but this course gave me better insight.
由 SV 提供Nov 15, 2016
Yes I learnt different approach of derivative ...Taylors series..
由 BC 提供Mar 18, 2018
Tough course, but a very fresh look at differential calculus.
由 NN 提供May 10, 2016
A really great course, so clearly elucidated by Prof. Grist.
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