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.
This course is part of the Mathematics for Machine Learning Specialization
About this Course
Skills you will gain
- Linear Regression
- Vector Calculus
- Multivariable Calculus
- Gradient Descent
Syllabus - What you will learn from this course
What is calculus?
Multivariate chain rule and its applications
Taylor series and linearisation
- 5 stars76.76%
- 4 stars19.05%
- 3 stars3.18%
- 2 stars0.65%
- 1 star0.33%
TOP REVIEWS FROM MATHEMATICS FOR MACHINE LEARNING: MULTIVARIATE CALCULUS
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.
Great course. It is clear and accessible, giving a lot of the intuition of why things are done. Some important topics in calculus are missing, such as Integration, but overall very good course.
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!
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.
About the Mathematics for Machine Learning Specialization
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