About this Course
13,894 recent views

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Approx. 27 hours to complete

Suggested: 6-8 hours/week...

English

Subtitles: English

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Approx. 27 hours to complete

Suggested: 6-8 hours/week...

English

Subtitles: English

Syllabus - What you will learn from this course

Week
1
3 hours to complete

Computing Areas and Volumes

6 videos (Total 78 min), 2 readings, 8 quizzes
6 videos
Volumes15m
BONUS!6m
Complex Volumes15m
2 readings
How to Get Started in this Course10m
How Grading Works10m
8 practice exercises
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
Week
2
2 hours to complete

Other Geometric Applications

4 videos (Total 66 min), 6 quizzes
4 videos
Surface Area16m
6 practice exercises
Core Homework: Volume and Dimension6m
Challenge Homework: Volume and Dimension8m
Core Homework: Arclength10m
Challenge Homework: Arclength4m
Core Homework: Surface Area8m
Challenge Homework: Surface Area4m
Week
3
1 hour to complete

Physical Applications

3 videos (Total 36 min), 4 quizzes
3 videos
Work15m
4 practice exercises
Core Homework: Work8m
Challenge Homework: Work4m
Core Homework: Elements10m
Challenge Homework: Elements2m
Week
4
2 hours to complete

Averages and Mass

5 videos (Total 65 min), 6 quizzes
5 videos
Moments and Gyrations16m
BONUS!8m
6 practice exercises
Core Homework: Averages10m
Challenge Homework: Averages4m
Core Homework: Centroids10m
Challenge Homework: Centroids4m
Core Homework: Moments and Gyrations8m
Challenge Homework: Moments and Gyrations6m
4.9
24 ReviewsChevron Right

Top reviews from Calculus: Single Variable Part 4 - Applications

By 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.

By 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.

Instructor

Avatar

Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering

About University of Pennsylvania

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. ...

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

More questions? Visit the Learner Help Center.