Back to Mathematics for Machine Learning: Multivariate Calculus

4.7

stars

4,005 ratings

•

710 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....

DP

Nov 26, 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.

JT

Nov 13, 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.

Filter by:

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 anurag

•Apr 08, 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 Nguyen N D

•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 01, 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 Lay K L

•Dec 27, 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 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 Rob 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

By Kuldeep J

•Aug 25, 2019

All the mathematical constructs and deep calculus was explained in a very intuitively with the help of visually rich animations. It seems the course content creators have spent good amount of effort in creating animations for every little useful thing, kudos to them.

By Bryan S

•Feb 19, 2019

I began this course without any knowledge of calculus and I was still able to get along decently well. I did a bit of supplementary work using Khan Academy but that was more to ingrain the calculus knowledge gained (product rule, chain rule, etc) within this course .

By Siddharth S

•May 28, 2020

Very Intuitive and well designed course. I just feel that covering mathematical intricacies could help in better understanding of the concept and its application. Also I feel that this course of the specialization being very application based lacked coding exposure.

By Carlo C

•Sep 05, 2020

Well done!!!

The course is interesting and well organized.

Lack of Pyton knowledge from my side is sometimes critical to solve some exercises...

It's my intention, as soon as I'lI have complete the three couses, to attend a Pyton course to complete my preparation.

By Dr. N D

•Jul 28, 2020

Nice designing of the course. The perfect combination of mathematics and applications. Nice videos, well explanation of concepts along with the application. A good bridge between mathematics and its applications. Thanks to professors and Imperial College London.

By Mohammad O B S

•Nov 09, 2019

This course is perfect for those who prefer to understand the intuition behind multivariate calculus, visualize the power of gradients in optimizing functions, and apply calculus to machine learning with robust understanding of underlying mathematical concepts.

By Avinash

•Feb 17, 2019

This course delivers its promise it is very crisp and concise. After completing this course I just feel I have remembered all vector calculus taken in my engineering maths (which is almost 8 years back) :)

I highly recommend this course to getting started ML/DL.

By Narayan B

•Jun 25, 2019

good mathematics course, but the things and concepts are explained in a very abstract way. Need to think a lot on your own while solving the quizzes as the videos are not going to help. Most of the concepts i learnt were from the quizzes rather than the videos

By Giuliano L P

•Apr 13, 2018

Even though in the beginning calculus seems to be confusing, because of the difficulty of the content, do not give up, I can guarantee that this course is the best way to learn calculus. The content is presented in a creative and fascinating way. Unmissable.

_{}^{}

By Anna U

•Jan 14, 2020

An excellently simple explanation of concepts of linear algebra. Applause for lector. I really liked this course and found it very useful for those newbies in machine learning like myself. I recommend this course to all my friends and others interested in.

By Aleix L M

•Nov 28, 2019

I found this course really useful and concise, straight to the concepts that are used in machine learning. The lecturers speak clearly and give very intuitive views on abstract concepts that I had trouble understanding before. I would totally recommend it.

By Kurt G

•Aug 04, 2019

The course began quite straightforwardly, and became progressively more challenging. I would recommend to others that they continually practice their skills at finding partial derivatives, as that skill gets even more important as the class progresses.

- Finding Purpose & Meaning in Life
- Understanding Medical Research
- Japanese for Beginners
- Introduction to Cloud Computing
- Foundations of Mindfulness
- Fundamentals of Finance
- Machine Learning
- Machine Learning Using Sas Viya
- The Science of Well Being
- Covid-19 Contact Tracing
- AI for Everyone
- Financial Markets
- Introduction to Psychology
- Getting Started with AWS
- International Marketing
- C++
- Predictive Analytics & Data Mining
- UCSD Learning How to Learn
- Michigan Programming for Everybody
- JHU R Programming
- Google CBRS CPI Training

- Natural Language Processing (NLP)
- AI for Medicine
- Good with Words: Writing & Editing
- Infections Disease Modeling
- The Pronounciation of American English
- Software Testing Automation
- Deep Learning
- Python for Everybody
- Data Science
- Business Foundations
- Excel Skills for Business
- Data Science with Python
- Finance for Everyone
- Communication Skills for Engineers
- Sales Training
- Career Brand Management
- Wharton Business Analytics
- Penn Positive Psychology
- Washington Machine Learning
- CalArts Graphic Design

- Professional Certificates
- MasterTrack Certificates
- Google IT Support
- IBM Data Science
- Google Cloud Data Engineering
- IBM Applied AI
- Google Cloud Architecture
- IBM Cybersecurity Analyst
- Google IT Automation with Python
- IBM z/OS Mainframe Practitioner
- UCI Applied Project Management
- Instructional Design Certificate
- Construction Engineering and Management Certificate
- Big Data Certificate
- Machine Learning for Analytics Certificate
- Innovation Management & Entrepreneurship Certificate
- Sustainabaility and Development Certificate
- Social Work Certificate
- AI and Machine Learning Certificate
- Spatial Data Analysis and Visualization Certificate

- Computer Science Degrees
- Business Degrees
- Public Health Degrees
- Data Science Degrees
- Bachelor's Degrees
- Bachelor of Computer Science
- MS Electrical Engineering
- Bachelor Completion Degree
- MS Management
- MS Computer Science
- MPH
- Accounting Master's Degree
- MCIT
- MBA Online
- Master of Applied Data Science
- Global MBA
- Master's of Innovation & Entrepreneurship
- MCS Data Science
- Master's in Computer Science
- Master's in Public Health