Mathematics for Machine Learning: Multivariate Calculus

This course is part of Mathematics for Machine Learning Specialization

Instructors: Samuel J. Cooper +2 more

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Skills you'll gain

  •   Artificial Neural Networks
  •   Derivatives
  •   Advanced Mathematics
  •   Calculus
  •   Linear Algebra
  •   Python Programming
  •   Regression Analysis
  •   Statistical Analysis
  •   Machine Learning Algorithms
  • There are 6 modules in this course

    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.

    Multivariate calculus

    Multivariate chain rule and its applications

    Taylor series and linearisation

    Intro to optimisation

    Regression

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