1. Sets and Functions

Question 1

How is a vector denoted, in vector analysis?

Answer 1

Just by any letter (no arrow is drawn above)

Question 2

How are the components of a vector written?

Answer 2

x = (x¹, x², x³,….)

Question 3

Which set is given by the “open ball” of dimension “n” centered at “a” of radius “r”?

Answer 3

All the points strictly within a distance r from the point a.

Question 4

What makes a set “open”?

Answer 4

A set is open if you can center an open ball at any point in the set and still have the open ball be in the set. (Essentially, if a set doesn’t contain its border, it is open)