> For the complete documentation index, see [llms.txt](https://stephanosterburg.gitbook.io/scrapbook/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://stephanosterburg.gitbook.io/scrapbook/math/math-for-ml/multivariate-calculus.md).

# Multivariate Calculus

Books:

* In Imperial Engineering, our primary maths textbook is probably the ever-popular and accessible *Mathematical Methods in the Physical Sciences* by Mary L Boas, John Wiley and Sons, 3rd Ed, 2006.

Web Resources

1. Khan Academy is a great resource right up to 1st or 2nd year undergraduate material. For this course, there's a handy group of videos at <https://www.khanacademy.org/math/differential-calculus>
2. Grant Sanderson has a great series of videos developing mathematical intuition on YouTube, which you can reach through his site [http://www.3blue1brown.com](http://www.3blue1brown.com/)

Formula Sheet

![](/files/-LkKv4xKnBKLVQZ3c4LB)

![](/files/-LkKvHAsYjSfEm0eAgu0)

## Functions

$$
f(x) = g(x) + h(x - a)
$$

![](/files/-LkR6ndF-Dgetrlff__t)

![](/files/-LkR73_OP5yHP9Qk6qnq)

![](/files/-LkR7tLp2IqZFz-_kt4w)

![](/files/-LkR9Ej9umW2YdOIddQO)