# 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

![](https://3501392451-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LLZ89zzVxrdnG1RG6CA%2F-LkKtSvvL67BpUmsNAcJ%2F-LkKv4xKnBKLVQZ3c4LB%2Fmaths4ml-mvc-Formulae.jpg?alt=media\&token=9d0a38df-35fd-40f8-b195-6764f7d90bc8)

![](https://3501392451-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LLZ89zzVxrdnG1RG6CA%2F-LkKtSvvL67BpUmsNAcJ%2F-LkKvHAsYjSfEm0eAgu0%2Fmaths4ml-mvc-Formulae_page2.jpg?alt=media\&token=64af1f0e-eb87-4283-b8de-70b752e66d9b)

## Functions

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

![](https://3501392451-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LLZ89zzVxrdnG1RG6CA%2F-LkQsQvdQVNSIKAt9r0Q%2F-LkR6ndF-Dgetrlff__t%2FScreen%20Shot%202019-07-22%20at%204.57.26%20PM.png?alt=media\&token=f9a5747a-57d2-48cd-8eaf-2312c55bfee7)

![](https://3501392451-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LLZ89zzVxrdnG1RG6CA%2F-LkQsQvdQVNSIKAt9r0Q%2F-LkR73_OP5yHP9Qk6qnq%2FScreen%20Shot%202019-07-22%20at%204.59.23%20PM.png?alt=media\&token=6b7ad0c6-35a4-4345-8c38-9b03b1c38708)

![](https://3501392451-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LLZ89zzVxrdnG1RG6CA%2F-LkQsQvdQVNSIKAt9r0Q%2F-LkR7tLp2IqZFz-_kt4w%2FScreen%20Shot%202019-07-22%20at%205.02.57%20PM.png?alt=media\&token=a824efa0-9efe-4a29-97c2-37eeeac77288)

![](https://3501392451-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LLZ89zzVxrdnG1RG6CA%2F-LkQsQvdQVNSIKAt9r0Q%2F-LkR9Ej9umW2YdOIddQO%2FScreen%20Shot%202019-07-22%20at%205.08.47%20PM.png?alt=media\&token=1a5a2dbb-b15d-44cf-b829-4f2ee6106e7d)