About this Course
최근 조회 5,636

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

유동적 마감일

일정에 따라 마감일을 재설정합니다.

완료하는 데 약 27시간 필요

권장: 6-8 hours/week...

영어

자막: 영어

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

유동적 마감일

일정에 따라 마감일을 재설정합니다.

완료하는 데 약 27시간 필요

권장: 6-8 hours/week...

영어

자막: 영어

강의 계획 - 이 강좌에서 배울 내용

1
완료하는 데 3시간 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.

...
6 videos (Total 78 min), 2 readings, 8 quizzes
6개의 동영상
Volumes15m
BONUS!6m
Complex Volumes15m
2개의 읽기 자료
How to Get Started in this Course10m
How Grading Works10m
8개 연습문제
Core Homework: Simple Areas10m
Challenge Homework: Simple Areas4m
Core Homework: Complex Areas10m
Challenge Homework: Complex Areas6m
Core Homework: Simple Volumes10m
Challenge Homework: Simple Volumes6m
Core Homework: Complex Volumes12m
Challenge Homework: Complex Volumes2m
2
완료하는 데 2시간 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.

...
4 videos (Total 66 min), 6 quizzes
4개의 동영상
Surface Area16m
6개 연습문제
Core Homework: Volume and Dimension6m
Challenge Homework: Volume and Dimension8m
Core Homework: Arclength10m
Challenge Homework: Arclength4m
Core Homework: Surface Area8m
Challenge Homework: Surface Area4m
3
완료하는 데 1시간 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.

...
3 videos (Total 36 min), 4 quizzes
3개의 동영상
Work15m
4개 연습문제
Core Homework: Work8m
Challenge Homework: Work4m
Core Homework: Elements10m
Challenge Homework: Elements2m
4
완료하는 데 2시간 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.

...
5 videos (Total 65 min), 6 quizzes
5개의 동영상
Moments and Gyrations16m
BONUS!8m
6개 연습문제
Core Homework: Averages10m
Challenge Homework: Averages4m
Core Homework: Centroids10m
Challenge Homework: Centroids4m
Core Homework: Moments and Gyrations8m
Challenge Homework: Moments and Gyrations6m
4.9
23개의 리뷰Chevron Right

Calculus: Single Variable Part 4 - Applications의 최상위 리뷰

대학: CCJul 7th 2018

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.

대학: AGJun 23rd 2016

this was simply an amazing course, perfect for my skill level and exactly what i needed to learn. Thank you for the opportunity.

강사

Avatar

Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering

펜실베이니아 대학교 정보

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. ...

자주 묻는 질문

  • 강좌에 등록하면 바로 모든 비디오, 테스트 및 프로그래밍 과제(해당하는 경우)에 접근할 수 있습니다. 상호 첨삭 과제는 이 세션이 시작된 경우에만 제출하고 검토할 수 있습니다. 강좌를 구매하지 않고 살펴보기만 하면 특정 과제에 접근하지 못할 수 있습니다.

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