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 4 - Applications
펜실베이니아 대학교이 강좌에 대하여
최근 조회 10,807회
학습자 경력 결과
50%
가 이 강좌를 통해 확실한 경력상 이점을 얻음
100% 온라인
지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.
유동적 마감일
일정에 따라 마감일을 재설정합니다.
완료하는 데 약 21시간 필요
영어
자막: 프랑스어, 포르투갈어 (유럽), 러시아어, 영어, 스페인어
학습자 경력 결과
50%
가 이 강좌를 통해 확실한 경력상 이점을 얻음
100% 온라인
지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.
유동적 마감일
일정에 따라 마감일을 재설정합니다.
완료하는 데 약 21시간 필요
영어
자막: 프랑스어, 포르투갈어 (유럽), 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 계획 - 이 강좌에서 배울 내용
완료하는 데 6시간 필요
Computing Areas and Volumes
Having seen some calculus before, you may recall some of the motivations for integrals arising from area computations. We will review those classical applications, while introducing the core idea of this module -- a differential element. By computing area and volume elements, we will see how to tackle tough geometry problems in a principled manner.
완료하는 데 6시간 필요
6개 동영상 (총 78분), 2 개의 읽기 자료, 8 개의 테스트
완료하는 데 4시간 필요
Other Geometric Applications
There's more to geometry than just area and volume! In this module, we will take things "to the next level", ascending to higher dimensions. Coming back to the 3-d world, we will return to problems of length and area, but this time in the context of curves and surfaces. As always, the emphasis will be on how to construct the appropriate differential element for integrating.
완료하는 데 4시간 필요
4개 동영상 (총 66분)
완료하는 데 3시간 필요
Physical Applications
There is so much more to applications of integrals than geometry! So many subjects, from physics to finance, have, at heart, the need for setting up and computing definite integrals. In this short but intense module, we will cover applications including work, force, torque, mass, and present & future value.
완료하는 데 3시간 필요
3개 동영상 (총 36분)
완료하는 데 4시간 필요
Averages and Mass
There is a statistical aspect to integrals that has not yet been brought up in this course: integrals are ideal for computing averages. Motivated by physical problems of mass, centroid, and moments of inertia, we will cover applications of integrals to averages.
완료하는 데 4시간 필요
5개 동영상 (총 65분)
검토
CALCULUS: SINGLE VARIABLE PART 4 - APPLICATIONS의 최상위 리뷰
VB 제공2020년 4월 5일
The course material are very well prepared. The focus is on direct application in engineering field. The concepts have been presented very elegantly - it shows deep knowledge of Prof Ghrist.
HY 제공2020년 3월 9일
Simply awesome! I would love to learn the digital calculus and the multi-variate calculus online with professor Ghrist.\n\nThank you! Dr. Ghrist
CC 제공2018년 7월 6일
The course taught me about how calculus is used to explain probability and statistics. This is exactly what I need to began studying these areas.
AG 제공2016년 6월 22일
this was simply an amazing course, perfect for my skill level and exactly what i needed to learn. Thank you for the opportunity.
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