About this Course
4.8
367 ratings
70 reviews
100% online

100% online

Start instantly and learn at your own schedule.
Flexible deadlines

Flexible deadlines

Reset deadlines in accordance to your schedule.
Hours to complete

Approx. 13 hours to complete

Suggested: 6-8 hours/week...
Available languages

English

Subtitles: English, Chinese (Simplified)

Skills you will gain

Differential (Mathematics)Newton'S MethodLinear ApproximationDifferential CalculusDerivative
100% online

100% online

Start instantly and learn at your own schedule.
Flexible deadlines

Flexible deadlines

Reset deadlines in accordance to your schedule.
Hours to complete

Approx. 13 hours to complete

Suggested: 6-8 hours/week...
Available languages

English

Subtitles: English, Chinese (Simplified)

Syllabus - What you will learn from this course

Week
1
Hours to complete
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. ...
Reading
3 videos (Total 45 min), 2 readings, 4 quizzes
Video3 videos
Differentiation Rules16m
BONUS!11m
Reading2 readings
How Grading Works10m
Your Guide to Getting Started in this Course10m
Quiz4 practice exercises
Core Homework: Derivatives16m
Challenge Homework: Derivatives4m
Core Homework: Differentiation Rules18m
Challenge Homework: Differentiation Rules6m
Week
2
Hours to complete
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....
Reading
5 videos (Total 66 min), 6 quizzes
Video5 videos
Higher Derivatives14m
BONUS!9m
Optimization16m
BONUS!8m
Quiz6 practice exercises
Core Homework: Linearization12m
Challenge Homework: Linearization4m
Core Homework: Higher Derivatives12m
Challenge Homework: Higher Derivatives2m
Core Homework: Optimization10m
Challenge Homework: Optimization8m
Week
3
Hours to complete
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....
Reading
3 videos (Total 38 min), 1 reading, 5 quizzes
Video3 videos
Differentiation Operator13m
BONUS!6m
Reading1 reading
About the Chapter 2 Exam10m
Quiz5 practice exercises
Core Homework: Differentials12m
Challenge Homework: Differentials8m
Core Homework: Differentiation Operator12m
Challenge Homework: Differentiation Operator10m
Chapter 2: Differentiation - Exam20m

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.

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