Math 2110 Section 13.1 Functions of Two Variables

This video discusses domain and range of functions of 2 variables. We also cover the boundary of the domain, whether a domain is open or closed, and whether a domain is bounded or unbounded.

[tabbylovesmath]

i cant thank you enough for expaining bounderies so eloquently.

[flyl]

It's incredible how confused I was reading my textbook, and how easy this concept is to understand when you explained it. I often wonder if textbooks are for students or for mathematicians

[paulmacharia]

Thank you very much for explaining boundary points :)

[naisonmandigo]

thanks for the great explanation...i do have a question on the range of ln(1-x^2+y), from the domain of the function we noted that the function is taking values strictly greater than the y> x^2-1, so why do we have to take the range of the function as an element of real values ( all y-values) yet our function has a restricted domain different from its natural set up of the logarithm function?

[ramzanahmad]

please can you explain about the level curves?

[crammingbanned]

why is the statement true that boundry point may or may not beong to region?