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 Ali T

•Nov 26, 2020

Excellent course for learners with a little background knowledge in mathematics, python and neural networks. very intuitive and useful. Assignments are a little bit difficult in last few weeks but you can handle it. Thanks Imperial College!

By SARWADNYA N M

•Jul 15, 2020

The instructors are very enthusiastic and novel in their approach to teach which makes it very enjoyable to learn from them. Looking forward to completing this specialization and then learning more about ML and AI.

Thank you so much Coursera

By Mubasher A

•Sep 4, 2020

Excellent course. All concepts have been delivered in a great manner making things clear with good examples. Questions appear at appropriate times during the video to make sure that the concepts presented in the video are being understood.

By Rohan K A

•Jun 27, 2022

Great learnings from this course. Feels very confident in the diving deeper into ML concepts. I would recommend anyone who wants to walk in the domain of Data Science or ML should take this course to learn the foundational Math concepts.

By srimat m

•Dec 10, 2019

standard short and crisp course. will do the job for what it is designed for. great explanations by mr. sam cooper and his visualization team at imperial. and mr.david also done a great job. overall worth spending funny jelly belly time.

By Shivaprasad K

•Jul 21, 2021

This is a great course for Data Science aspirants. It helps to build a strong mathematical foundation and intuition necessary for solving challenges in Machine Learning and Deep Learning. The course is well-structured, engaging and fun!

By Constance K

•Jan 2, 2021

This is the first course i took on coursera and also is the first course the mathematics for ML. I have no much mathematics background but I have learned a lot from the course. The coding is a bit challenging , but the Forum is HELPFUL.

By Tash B

•Sep 5, 2018

Although difficult, this course makes sense of what is happening under the hood in training machine learning models. Instructors explain things well and the assignments gave opportunities to practice. I thoroughly enjoyed this course.

By Badri A

•May 15, 2020

The thing I love about this course and the previous one, is how they make these heavy equations and stuff that we learn in school and university meaningful.

The instructors are very good, and the topic was handled perfectly. Well Done !

By Jafed E G

•Jul 6, 2019

I enjoy the lectures. The professor has a good speaking and teaching style which keeps me interested. Lots of concrete math examples which make it easier to understand. Very good slides which are well formulated and easy to understand

By Jonathan F

•Jul 29, 2018

Following on from the Linear Algebra course, this is equally excellent. Again, the main enjoyment comes from seeing techniques learnt at school (partial derivatives, Taylor series, Newton-Raphson, etc) actually being used in practice.

By Saikat C

•Feb 14, 2020

Excellent course. It provides all the math required to understand machine learning in a deeper level with everything explained. This course connects all the necessary ideas and provide a coherent view of machine learning mathematics.

By Kenneth B

•Feb 3, 2021

I found this to be a valuable overview to calculus. The course could be improved by including more explanations for answers, as sometimes I wasn't sure how a given answer was derived, but it was a worthwhile use of my time overall.

By Zixuan Y

•Jan 27, 2020

I have learnt Calculus 1 before, so this course is much easier for me than the first course in the specialization. With the notebook tool, I now know how to put derivative into python. The teachers are really good. Thanks a lot ;)

By Nigel H

•Apr 18, 2018

A change in staff from Imperial but the same enthusiasm; high standards of teaching mean you are going to get a lot from this course. Lots of examples and the practice quizzes really help with the consolidation. Great stuff.Thanks

By Mike F

•Jan 13, 2020

A great course which covers the necessary aspects in a very interesting and intuitive way. Makes really good use of graphics, rather than only pure maths, in order to give an intuitive sense of what's happening behind the magic.

By Zohair A

•Jun 2, 2020

Awesome course. I've always thought of math as a burden. Never really liked it. But this course has made me fall in love with mathematics. The way the instructors taught different concepts and put them all together was amazing.

By Olivio A C J

•Oct 19, 2020

A really fine course with a correct balance between theory and practice. I learned a lot about multivariate calculus applied to machine learning. This course is really very helpful for anyone wanting to learn machine learning.

By Rafael E

•Aug 21, 2020

I've never gotten such clear explanations during my undergraduate course, even in the graduate courses that I did. Practical exercises and visual resources help a lot to assimilate abstract concepts. I strongly recommend it.

By jie

•Jun 11, 2020

Excellent course. I almost forgot everything i learned at college. I never thought I could regain all these knowledge with ease (was very painful back in college) . Samuel Cooper is probably the best instructor at coursera.

By Sagar L

•Mar 12, 2020

A really nice course in the series. Quite useful from the perspective of the back end mathematics of ml techniques like Neural Networks. Anyone who wants to work in this domain, would be more than satisfied with this course.

By Nataliya M

•Nov 17, 2018

Despite there being some mistakes in videos, this course is a nice introduction to Multivariate Calculus with application to Machine Learning and Data Science. Assignments are fairly challenging and also very interesting!

By Loay W

•Aug 1, 2019

Thanks to the simple demonstration, and the interactive learning, I feel I can interpret the math as a new

language I can read and speak with, it was an interesting and core skill to have,

as a machine learning engineer.

By Francisco R

•Oct 29, 2019

Great course, I really enjoyed it. The way of teaching visually rather than theoretically keeps those that get lost in formulae like me on track. The visual explanation of what a derivative is helps a lot for instance.

By Deepak C

•Jan 3, 2019

Superb course !! This course had a lot more application oriented problems and the instructor helped us visualise the intuition behind Math ! Looking forward for more of such courses from the Imperial College of London..