4.8
386 ratings
71 reviews

#### 100% online

Start instantly and learn at your own schedule.

#### 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.

#### 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
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
5 practice exercises
Core Homework: Differentials12m
Challenge Homework: Differentials8m
Core Homework: Differentiation Operator12m
Challenge Homework: Differentiation Operator10m
Chapter 2: Differentiation - Exam20m
4.8
71 Reviews

## 40%

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

### Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering