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.
제공자:
Calculus: Single Variable Part 2 - Differentiation
펜실베이니아 대학교이 강좌에 대하여
최근 조회 10,628회
유연한 마감일
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100% 온라인
지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.
완료하는 데 약 10시간 필요
영어
자막: 프랑스어, 포르투갈어 (유럽), 중국어 (간체자), 러시아어, 영어, 스페인어
귀하가 습득할 기술
- Differential (Mathematics)
- Newton'S Method
- Linear Approximation
- Differential Calculus
- Derivative
유연한 마감일
일정에 따라 마감일을 재설정합니다.
100% 온라인
지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.
완료하는 데 약 10시간 필요
영어
자막: 프랑스어, 포르투갈어 (유럽), 중국어 (간체자), 러시아어, 영어, 스페인어
제공자:
펜실베이니아 대학교
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.
강의 계획표 - 이 강좌에서 배울 내용
완료하는 데 3시간 필요
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.
완료하는 데 3시간 필요
3개 동영상 (총 45분), 2 개의 읽기 자료, 4 개의 테스트
완료하는 데 4시간 필요
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.
완료하는 데 4시간 필요
5개 동영상 (총 66분)
완료하는 데 3시간 필요
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.
완료하는 데 3시간 필요
3개 동영상 (총 38분), 1 개의 읽기 자료, 5 개의 테스트
검토
- 5 stars84.01%
- 4 stars13.07%
- 3 stars1.69%
- 2 stars0.84%
- 1 star0.36%
CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION의 최상위 리뷰
U 제공2016년 1월 16일
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.
NP 제공2017년 10월 23일
Explanations are crystal clear, with a strong emphasis on developing a deep conceptual understanding of math rather than "calculating derivatives"
MS 제공2020년 4월 18일
Very nice course. It served as a good refresher, and was not hard for me. The material is presented in a different way than a typical college course.
AA 제공2021년 6월 18일
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.
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