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Beginner Level
Approx. 18 hours to complete
English

## 28%

started a new career after completing these courses

## 22%

got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Beginner Level
Approx. 18 hours to complete
English

## Syllabus - What you will learn from this course

Content Rating90%(13,890 ratings)
Week
1

## Week 1

4 hours to complete

## What is calculus?

4 hours to complete
10 videos (Total 46 min), 4 readings, 6 quizzes
10 videos
Welcome to Module 1!1m
Functions4m
Rise Over Run4m
Definition of a derivative10m
Differentiation examples & special cases7m
Product rule4m
Chain rule5m
Taming a beast5m
See you next module!39s
About Imperial College & the team5m
How to be successful in this course5m
6 practice exercises
Matching functions visually20m
Matching the graph of a function to the graph of its derivative20m
Let's differentiate some functions20m
Practicing the product rule20m
Practicing the chain rule20m
Unleashing the toolbox20m
Week
2

## Week 2

3 hours to complete

## Multivariate calculus

3 hours to complete
9 videos (Total 41 min)
9 videos
Variables, constants & context7m
Differentiate with respect to anything4m
The Jacobian5m
Jacobian applied6m
The Sandpit4m
The Hessian5m
Reality is hard4m
See you next module!23s
5 practice exercises
Practicing partial differentiation20m
Calculating the Jacobian20m
Bigger Jacobians!20m
Calculating Hessians20m
Assessment: Jacobians and Hessians20m
Week
3

## Week 3

3 hours to complete

## Multivariate chain rule and its applications

3 hours to complete
6 videos (Total 19 min)
6 videos
Multivariate chain rule2m
More multivariate chain rule5m
Simple neural networks5m
More simple neural networks4m
See you next module!34s
3 practice exercises
Multivariate chain rule exercise20m
Simple Artificial Neural Networks20m
Training Neural Networks25m
Week
4

## Week 4

3 hours to complete

## Taylor series and linearisation

3 hours to complete
9 videos (Total 41 min)
9 videos
Building approximate functions3m
Power series3m
Power series derivation9m
Power series details6m
Examples5m
Linearisation5m
Multivariate Taylor6m
See you next module!28s
5 practice exercises
Matching functions and approximations20m
Applying the Taylor series15m
Taylor series - Special cases30m
2D Taylor series15m
Taylor Series Assessment20m