Back to Mathematics for Machine Learning: Multivariate Calculus

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5,562 ratings

This course offers a brief introduction to the multivariate calculus required to build many common machine learning techniques. We start at the very beginning with a refresher on the “rise over run” formulation of a slope, before converting this to the formal definition of the gradient of a function. We then start to build up a set of tools for making calculus easier and faster. Next, we learn how to calculate vectors that point up hill on multidimensional surfaces and even put this into action using an interactive game. We take a look at how we can use calculus to build approximations to functions, as well as helping us to quantify how accurate we should expect those approximations to be. We also spend some time talking about where calculus comes up in the training of neural networks, before finally showing you how it is applied in linear regression models. This course is intended to offer an intuitive understanding of calculus, as well as the language necessary to look concepts up yourselves when you get stuck. Hopefully, without going into too much detail, you’ll still come away with the confidence to dive into some more focused machine learning courses in future....

DP

Nov 25, 2018

Great course to develop some understanding and intuition about the basic concepts used in optimization. Last 2 weeks were a bit on a lower level of quality then the rest in my opinion but still great.

SS

Aug 3, 2019

Very Well Explained. Good content and great explanation of content. Complex topics are also covered in very easy way. Very Helpful for learning much more complex topics for Machine Learning in future.

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By Thomas N

•Aug 5, 2020

Fantastic course and amazing instructors! I have always been a bit intimidated by math but your course boosted my confidence that I can learn these rather complicated ideas. Thank you so much!

By Dr. S H A M S

•Apr 28, 2020

I am happy see that how the simple concepts of calculus can be helpful in answering the machine learning problem. Instructors are very professionals and did full justification with the course.

By Eun-San K

•Mar 8, 2020

Though it was tough course, after you finish it, you might have a little confidence in your understanding linear regression. For a beginner like me, that will be my start point for my career.

By Patrick G

•Mar 26, 2020

Very clear lessons by two excellent coachs who present a smooth progression of the fundamentals of optimizations for machine learning. Plus very nice visualizations of the gradient descent.

By Puja P N B M

•Mar 26, 2022

This calculus course covering realy great topic. expecially with great example but also easy to understand this is the easely this is the best explanation calculus i've ever learn so far

By pymo2504@gmail.com

•May 27, 2019

El curso explica de forma sencilla, los conceptos de calculo necesarios para la comprensión del aprendizaje de máquina. Realmente muy útil. Además, incluye ejercicios prácticos en python

By Xavier d L C

•Jan 23, 2021

This course is exactly what I had in mind: (i) a review of the main multivariate results required for starting in machine learning; (ii) very good teachers; (iii) reasonable assignments

By Irene L

•Nov 25, 2019

very good course about the math for machine learning, they teach every detail and I was able to complete the quiz and assignment just after class and don't have to seek help on Google.

By Marvin P

•Apr 6, 2018

Just like the linear algebra one this course is absolutely awesome. The instructors provide structured insights, the assignments are well prepared. I'm amazed how much fun math can be!

By Timo K

•Apr 3, 2018

Just a great course for getting you ready to understand machine learning algorithms. The chapter on backpropagation is simply outstanding and the programming assignments are awesome!

By Laszlo C

•Nov 21, 2019

It's a very intuitive re-introduction to multivariate calculus with edifying programming assignments and quizzes. I highly recommend this course for anyone who wants to tap into ML.

By Mark C

•Jul 30, 2018

As good as the first class in the Math for ML series. Instruction was interesting. Questions were not too confusing. Clearly a lot of time was spent producing this class. Thank you.

By MALYALA V S S C

•May 9, 2023

This course is very well structured with relevant content. The explanations are very clear to understand the underlying perspectives of calculus in the machine learning algorithms.

By Mohit

•Oct 31, 2020

After completing i relate maths with real world ,How hard the topic is but all the teacher complete it nicely in a simpler manner ,I am so happy today i complete one more course

By A J

•Jul 19, 2018

Nice course. Ppl with who don't have some experience with the content may find the instruction too sparse. But for someone with a decent background its a fucking fantastic course !

By Wang Z

•Jul 2, 2018

A wonderful course. I learnt a lot after struggling to finish it. Some foundations of calculus might be needed since the lecturer goes through differntiation in a tremendous speed.

By Shailesh B

•May 11, 2020

Excellent contain and I enjoyed a lot during this course. Assignment part was very crucial because there was chance to improve our understanding by giving correct or wrong answer.

By David C

•Jul 25, 2018

I highly recommend this course.

Every Machine Learning student have to do it. Some concepts is so clearly explained that you will be able to perform better in following ML studies.

By Julia G

•Nov 12, 2020

I enjoyed a lot the visualizations and practical examples. They do help to improve mathematical intuition! Thanks a lot to the instructors, the lectures were clear and exciting!

By David M

•Jul 14, 2020

Both instructors explained things very clearly and I felt well-prepared for the quizzes. The subject matter was challenging for me, but isn't that what this whole site is about?

By Nagaradhika

•Jun 9, 2020

excellent teaching very good course for learners thank you so much for giving this pack of three courses . Tahnkyou coursera team, three instructors and Imperial college London

By Pitiwat L

•Oct 14, 2022

A lot of errors in lab and coding accessments. Many some exercises contain with a lot of latex code that it very hard to read. But, overall I would rate this course 5 stars!!

By Dawn D

•Mar 10, 2019

Really good introduction for things like regression and gradient descent. An extremely good refresher for calculus and extension from what is taught in school (in UK at least).

By Marco A P

•Aug 27, 2020

Very challenging course, but if you,re not afraid of numbers this is a great way to remember or "start to learn" advance and esential mathematic concepts for machine learning

By Ramon M T

•Sep 18, 2019

Excellent course to understand what is behind the techniques and why not high-level functions that are used in machine learning programming. Thanks for your teaching Dave, Sam