Hands-On Mathematics for Deep Learning

Vector Calculus

Most of you will likely have had some exposure to calculus in the past, be it in high school, college, or university, and were likely hoping to never have to deal with it again. However, calculus is not only one of the most profound discoveries in mathematics; it also plays a vital role in deep learning.

In this chapter, we will start by introducing core concepts of calculus using single variable calculus, and then we will move on to multivariable calculus and extend everything we learned in multivariable calculus to gain an understanding of vector calculus and its relation to deep learning.

This chapter will cover the following topics:

• Single variable calculus
• Multivariable calculus
• Vector calculus