Back to Mathematics for Machine Learning: Multivariate Calculus

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5,631 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....

JT

Nov 12, 2018

Excellent course. I completed this course with no prior knowledge of multivariate calculus and was successful nonetheless. It was challenging and extremely interesting, informative, and well designed.

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 Natasha M

•Apr 10, 2021

Probably my favorite course series on Coursera! Even though I already took calculus and algebra years ago, I feel like I have gained a greater intuition through this and the previous algebra course. These are probably not introductory courses, but more to gain a deeper intuition of using calculus for machine learning.

By Adithya P

•Sep 26, 2020

The instructors are amazing, they make things quite easy to understand and the assignments would give a proper measure of your understanding of the lectures. The content covered in the course gives you a perfect idea of visualizing 3d or multidimensional models(data). The forum has a healthy discussion on the subject.

By Idris R

•Oct 28, 2019

Fun and challenging course! It's priceless to learn all the math behind neural networks and other machine learning algorithms without having to learn all of calculus and all of linear algebra. Those are large fields and having the material presented in a way that focuses on the most relevant pieces is hugely valuable.

By Agamjyot S C

•Jun 16, 2020

This is a must take course, if you want an insight into how the world of machine learning really works. This MOOC focused more on the intuition rather than just deriving out expressions for the heck of it. Everything has been explained in a very nice and simple manner, I have learned a great deal from this course.

By Peter K

•Dec 18, 2021

I appreciate the work of the course team. Many thanks. It is a great job. But I would list explicitly all the additional materials that could help to understand each week objectives. I mean such links to Khan Academy or other sources that could be relevant. Some videos could be expanded started from chapter 4.

By Kuntal T

•Dec 13, 2020

If you want to see the "Art of teaching", you must take or go through this course. Prof. Dye and Prof. Cooper explained the subject in a very nice way and I think every undergrad should take this course to clarify their understanding and for any person who whats to teach much watch it to learn how to teach.

By PODAKANTI S C (

•Aug 5, 2022

Too good!!!!!

I loved the way of teaching and concepts that are explained are awesome. I know some concepts in this course already but when I started to learn in this course, I saw the concept in the new dimension. The course is equipped with high content, extraordinary teachers and user-friendly platform.

By Umesh S

•Dec 11, 2020

Excellent course !! .. nice balance of mathematics and intuition building. Pace is fast but its fun. Some assignments are challenging but very rewarding once you get it right. Will recommend to all data science enthusiasts to go through this course to build right base before digging deep in ML algorithms

By Taranpreet s

•Sep 17, 2020

I was quite satisfied with the learnings from the course 1 of the specialization, this course amazed me about how the calculus and linear algebra are knitted together to solve optimization problems efficiently. Quizes are very helpful in reinforcement of the concepts. Instructors are great as well.

By Xin Y

•Apr 16, 2020

Excellent course! All concepts are clearly explained. On a difficulty scale of 10 with 0 being easiest and 10 being hardest, quizzes are around 4 and programming assignments are around 1. The lectures are very well designed, with quizzes helping to reinforce key concepts you learned in the videos.

By Nikesh K

•Apr 16, 2020

I loved this course. Instead of going deep into mathematical terms, the professors try to create an intuition of those terms and the geometrical explanations further improve the understanding. So if you feel that you lack an understanding of the concepts then definitely go for this specialization

By David Z

•Nov 26, 2020

Great layout of topics and amazing approaches of handling course materials. Provide a great feel of mathematics and its application. Wow, i can't say thank you enough. Having done the abstract Mathematics with computer Science, this has made meaning to the importance of the program i pursued.

By Rishav K

•Jan 1, 2021

The course is excellent and informative, but keep in mind that it is not for absolute beginners. If one has some experience or if one is willing to take reference from other sources available on the internet. Then, it would certainly improve one's understanding of the underlying mathematics.

By anurag

•Apr 8, 2020

Great foundation course on maths involved in Machine learning . Also such a refreshing view on calculus that is taught in bachelor degrees of engineering. I was able to visualize each concept taught here thus making the learning much more fun and easy to remember, thanks to the professors.

By Duc H B

•Dec 16, 2021

Wowwwww!!! I didn't learn math for a long time, about 2-3 years, and this course help me to recall my knowledge and learn somethings new.

It help my skill in math stronger and have a foundations for machine learning.

Big thanks for this course, for teacher and the Imperial College London.

By Diep N N

•Jul 13, 2020

I learned a lot from the materials. I found the programming assignments in every module is really fascinating with some really cool outputs! The instructors had smooth explanations, easy to understand. But one thing to improve is to have more examples of its applications in real life.

By Renato

•May 1, 2020

The class is great, give you the fundamentals of multivariate Calculus, made me remember a lot and I have learnt a lot as well. A lot of work with you do everything yourself but it is fun specially because they mix the math on the paper and the math on the coding (python) really fun.

By LayKuan L

•Dec 26, 2019

The focus on building intuition about why were are using a certain technique to approach a certain problem, instead of grinding on endless calculus problems in a traditional undergraduate class is very helpful for learning quickly - the class covers a lot of material in a short time.

By Mikhail D

•May 24, 2020

As good as the linear algebra course. Lots of important concept in calculus explained in a visual, intuitive way, without bothering the students with too much detail but making sure that they actually understand the concepts well. Both instructors and great and passionate lecturers.

By Maksym B

•Sep 20, 2020

Great course with an emphasis on intuition. The course is not complicated if you have taken calculus at school. It was a good refresher for me for basic calculus concepts and it has provided with great high-level understanding of the mathematical objects like Jacobian and Hessian.

By Alagu P P G

•Jul 24, 2020

this is a great refresher course for the intermediary basic on multivariate calculus.what you would learn is the math behind data analysis-regression,hessian,Jacobian more of the application of multivariate calculus.AND DO VISIT KHAN ACADEMY +FORUMS FOR FURTHER CLARIFICATIONS

By Danni L

•Nov 10, 2023

I like the course. As a learner from nonEnglish-speaking country, the teachers have clear accent for me to understand. Moreover, the concepts are explained clearly for beginners and we are led to a more advanced math world without hating it. This is the charm of the course.

By Arka S

•May 27, 2020

A great course. Engaging videos, understandable and solvable quizzes and assignments, and enthusiastic instructors. Gained a lot of insight into the topic, and this is coming from a person who has done Multivariate Calculus in University. Loved the part on Taylor's theorem.

By Robert D O

•May 31, 2020

This is an excellent refresher course on differential calculus emphasizing applications to machine learning. Exercises and quizzes are a mixture of solving problems by hand and completing Python coding challenges. I found this course to be very effective and worthwhile.

By Niju M N

•Mar 26, 2020

Multivariate Calculus - part of Math for machine learning is a good course to brush up your math skills or to learn the basics of Calculus behind ML. Its a introductory course that helps to understand Taylor series, Jacobians , Hessians. OverAll this is a good time spent