About this Course
4.8
401 ratings
75 reviews

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Start instantly and learn at your own schedule.

Flexible deadlines

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Approx. 13 hours to complete

Suggested: 6-8 hours/week...

English

Subtitles: English, Chinese (Simplified)

Skills you will gain

Differential (Mathematics)Newton'S MethodLinear ApproximationDifferential CalculusDerivative

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Approx. 13 hours to complete

Suggested: 6-8 hours/week...

English

Subtitles: English, Chinese (Simplified)

Syllabus - What you will learn from this course

Week
1
2 hours to complete

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. ...
3 videos (Total 45 min), 2 readings, 4 quizzes
3 videos
Differentiation Rules16m
BONUS!11m
2 readings
How Grading Works10m
Your Guide to Getting Started in this Course10m
4 practice exercises
Core Homework: Derivatives16m
Challenge Homework: Derivatives4m
Core Homework: Differentiation Rules18m
Challenge Homework: Differentiation Rules6m
Week
2
2 hours to complete

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....
5 videos (Total 66 min), 6 quizzes
5 videos
Higher Derivatives14m
BONUS!9m
Optimization16m
BONUS!8m
6 practice exercises
Core Homework: Linearization12m
Challenge Homework: Linearization4m
Core Homework: Higher Derivatives12m
Challenge Homework: Higher Derivatives2m
Core Homework: Optimization10m
Challenge Homework: Optimization8m
Week
3
2 hours to complete

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....
3 videos (Total 38 min), 1 reading, 5 quizzes
3 videos
Differentiation Operator13m
BONUS!6m
1 reading
About the Chapter 2 Exam10m
5 practice exercises
Core Homework: Differentials12m
Challenge Homework: Differentials8m
Core Homework: Differentiation Operator12m
Challenge Homework: Differentiation Operator10m
Chapter 2: Differentiation - Exam20m
4.8
75 ReviewsChevron Right

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started a new career after completing these courses

29%

got a tangible career benefit from this course

Top Reviews

By JBFeb 18th 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.

By WGFeb 17th 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.

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

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