Hi, I’m a beginner. For this course Calculus for Machine Learning & Data Science, does it cover “Multivariate Calculus” ? Thank you

Hello @Matt5129

Welcome to the discourse community. Thanks a lot for bringing this question up.

It appears that the only topic that is covered in the field of Multivariate calculus is “Multivariate Newton’s method”.

Here is a list of the topics of the “Calculus for Machine Learning & Data Science” :

Calculus for Machine Learning and Data Science:

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**Week 1: Functions of one variable: Derivative and optimization**

*Lesson 1: Derivatives*

- Example to motivate derivatives: Speedometer
- Derivative of common functions (c, x, x^2, 1/x)
- Meaning of e and the derivative of e^x
- Derivative of log x
- Existence of derivatives
- Properties of derivative

*Lesson 2: Optimization with derivatives*

Video 1: Intro to optimization: Temperature example

Video 2: Optimizing cost functions in ML: Squared loss

Video 3: Optimizing cost functions in ML: Log loss

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**Week 2: Functions of two or more variables: Gradients and gradient descent**

*Lesson 1: Gradients and optimization*

- Intro to gradients
- Example to motivate gradients: Temperature
- Gradient notation
- Optimization using slope method: Linear regression

*Lesson 2: Gradient Descent*

- Optimization using gradient descent: 1 variable
- Optimization using gradient descent: 2 variable
- Gradient descent for linear regression

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**Week 3: Optimization in Neural Networks and Newton’s method**

*Lesson 1: Optimization in Neural Networks*

- Perceptron with no activation and squared loss (linear regression)
- Perceptron with sigmoid activation and log loss (classification)
- Two-layer neural network with sigmoid activation and log loss
- Mathematics of Backpropagation

*Lesson 2: Beyond Gradient Descent: Newton’s Method*

- Root finding with Newton’s method
- Adapting Newton’s method for optimization
- Second derivatives and Hessians
- Multivariate Newton’s method

A list of all courses under Mathematics for Machine Learning and Data Science Specialization

is on this link .

Thanks for the prompt response! Can i just clarify, for week 2: Functions of two or more variables, is not really considered “multivariate calculus” ?

Thanks once again