Back to Mathematics for Machine Learning: Multivariate Calculus

stars

4,741 ratings

•

841 reviews

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.

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.

Filter by:

By Michelle W

•Nov 17, 2019

I would say this entire series is better advertised as a quick *review* of the pertinent concepts. Otherwise, someone with no background in the topics covered may struggle (unless they are particularly talented with quickly learning new mathematical concepts).

By Shintya R R M

•Mar 6, 2021

This course is good to start learning Machine Learning. There are also labs practice so that I can acquire deeper understanding by the visualization. However, some materials are not explained clearly, such as Newton-Raphson method and Lagrange Multiplier.

By Glendronach 3

•Mar 22, 2020

This felt like time well spent. A really good course which I should have taken before doing the Machine Learning Course by Andrew Ng. That would have made life easier.

Beware, the 'gradient of the learning curve' at any point during this course is steep.

By 胡震远

•Aug 30, 2020

Generally, it is a good course. Many new tools and fancy representation method, but for mathematical idea and explanation, it is just too simple. Maybe the biggest contribution to me is that It lets me know the Kahn Academy and 3b1b courses.

By Aditya J

•Apr 13, 2020

Could have explained in a way that the audience requires a slower and better and little more in-depth explanation. Some places felt a little rushed, so had to spend more time in forums and other resources to get more idea. Overall was great.

By Saikumar S

•Jan 13, 2020

Need a bit more clarity in terms of integrating the calculus in the last week sessions.

I agree they are very good but would be great if there is some more additional clarity. And also some project using the whole course would be helpful.

By Ankit C

•Mar 28, 2020

It gives you a good head-start to the math required in Machine learning. Some major concepts are touched just on the surface level but the mathematics involved in those concepts is explained quite well. Overall, it's good experience

By sujith

•Sep 16, 2018

Very good course to start of with mutivariable calculus basics. Helps to refresh your memory if already familiar with concepts, additionally helps in getting fresher perspective because of geometrical intuition presented very well.

By Switt K

•Jul 27, 2020

Good details, great at building intuitions. Instructors are pleasant to listen to :)

As expected, it's enough to get you going in the right direction, that if you want to know more, you'd have enough knowledge to build on from.

By George K

•Sep 21, 2018

Lack of support from the staff. Some parts/lectures are not clearly explained (for example, constrained optimization) and some quiz questions are not directly related to the course content. Otherwise, it's a very good course.

By Jacqueline B

•Apr 6, 2020

up to week 5 , it was masterpiece.

week6 (although it should be the most important one) was a mess and disappointing.. as it was not explainable, i couldn't link what is happening with previous weeks.. require to be enhanced

By Izzan D

•Mar 29, 2020

The first 3 weeks is really good, the fourth week is okay but the last 2 weeks is kinda confusing. The explanation is quite clear but it is quite hard to grasp the intuition and relationship between each material.

By Peiyuan C

•Sep 29, 2018

Along with the advanced and popular technique, this course gives me impressive insight over how machine learning works. But it would be much better if the concept in linear algebra combines more with this course.

By Girisha D D S

•Aug 26, 2018

I thoroughly enjoyed this course. The materials were good and the course content was good enough to pass all the assignments and quizzes. This is way better than the linear algebra course in this specialization.

By mrinal

•Jun 7, 2018

i think some of concepts touched the surface and it was difficult to get a deep understanding .Probably the course could have provided some external links for those topics where people could read .

By Ashish k

•Jul 28, 2019

Superb quality. The way instructors teach is really innovative. The course is good in terms of the area it covers but lacks depth, but is a good starting point if you want to dwell more in detail.

By Keshav B

•Jul 24, 2020

Very informative refresher on the basics of differentiation, though some of the later topics could have been fleshed out more (i.e. Taylor Series, Lagrange Multipliers, etc). Overall very good.

By Kalpak S

•Mar 8, 2020

I wish, Linear Regression was taught with a little more clarity. Seemed like too many things were happening. Otherwise, a very good course. Really enjoyed the back-propagation week.

By Xiao F

•Apr 22, 2018

the basic concepts are explained clearly, but the step of the lecture became more fast than the course of linear algebra. More detail proof and application of theory is expected.

By Florian C

•May 28, 2021

The course starts off somewhat too basic for my taste but still gives a great intuition for some off the fundamental concepts underlying gradient descent and machine learning.

By arnaud j

•May 23, 2018

The course is still a bit young, some errors appear here and there sometimes, and some parts of it are a bit steep.

Otherwise, this is a good course, focused on derivatives.

By Prathamesh P C

•Jun 25, 2020

They should explain concepts in detail. They just explained really tough concepts in 5 min and gave much much harder assignments which was really frustrating at many times.

By Andrew

•Jul 7, 2020

Practice makes about 65% of this course, 3Blue!Brown and Khan Academy are indispensable in this course too. The course is more like an overview than an in-depth study.

By mayank d

•Jun 10, 2019

1.Week 5 should be taken in separate module dedicated to statistics.

2.The duration of course can be increased.

3. Week 3 and week 4 can be made more detailed

By Dominik K

•Oct 9, 2019

Very good course but especially while approaching the end of the course some steps are being skipped or not explained entirely which can be a bit confusing

- Google Data Analyst
- Google Project Management
- Google UX Design
- Google IT Support
- IBM Data Science
- IBM Data Analyst
- IBM Data Analytics with Excel and R
- IBM Cybersecurity Analyst
- Facebook Social Media Marketing
- IBM Full Stack Cloud Developer
- Salesforce Sales Development Representative
- Salesforce Sales Operations
- Soporte de Tecnologías de la Información de Google
- Certificado profesional de Suporte em TI do Google
- Google IT Automation with Python
- DeepLearning.AI Tensorflow
- Popular Cybersecurity Certifications
- Popular SQL Certifications
- Popular IT Certifications
- See all certificates

- Skills for Data Science Teams
- Data Driven Decision Making
- Software Engineering Skills
- Soft Skills for Engineering Teams
- Management Skills
- Marketing Skills
- Skills for Sales Teams
- Product Manager Skills
- Skills for Finance
- Android Development Projects
- TensorFlow and Keras Projects
- Python for Everybody
- Deep Learning
- Excel Skills for Business
- Business Foundations
- Machine Learning
- AWS Fundamentals
- Data Engineering Foundations
- Data Analyst Skills
- Skills for UX Designers

- MasterTrack® Certificates
- Professional Certificates
- University Certificates
- MBA & Business Degrees
- Data Science Degrees
- Computer Science Degrees
- Data Analytics Degrees
- Public Health Degrees
- Social Sciences Degrees
- Management Degrees
- Degrees from Top European Universities
- Master's Degrees
- Bachelor's Degrees
- Degrees with a Performance Pathway
- Bsc Courses
- What is a Bachelor's Degree?
- How Long Does a Master's Degree Take?
- Is an Online MBA Worth It?
- 7 Ways to Pay for Graduate School
- See all degrees