Session 3: Function of several variables is bounded/Unbounded/Open/Closed/ both.

In this video we will the concept of bounded domain, unbounded domain,open domain, closed domain, open closed domain. After seeing the concept we will couple of examples so that the picture will be more clear.

These concepts you will find in any calculus book on multivariate course. For engineers, book Thomas calculus or book by Stewart is preferable.

Links for previous lectures:
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Lecture on domain of a function and its sketching using GeoGebra.

[sairajpawar]

There are so many teachers but sir only knows how to teach the concept ❤🤞

[Mikasaeren]

3:48
if boundary is included its close domain
if not included then open domain
cases of open and closed domain at the same time are R, R^2, R^3 and phi

9:35 case of open and close

[pranavpawar]

1. Open Unbounded
2. Close Unbounded
3. Close Unbounded

[nastenkaoo]

super explanation👍👍 you are better than my Calculus teacher

All these sessions have been so so helpful. And congratulations Sir, noticed the channel name has changed now. 🙂

[carguy]

This video is amazing sir, thank you so much. I can understand very well the topic now thanks to you! <3

[mkeerthana]

Thank you sir.I understand them without confusion.

[sametyilmaz]

Thanks a lot. I studied in text book I confused but your explanation is so clear and understandable.

[sairajpawar]

f(x, y) = sin-¹(y-x) what is the level curve and domain for this?

[_uncle_travels]

Can you explain this question

f(x, y)=square root of 9-x2-y2-z2

[ifranahmed]

Thank you very much sir
You are doing an amazing work

[sairajpawar]

Sir can you just take some more examples on functions in 3 variables about their level curve and domain?

[FromAllThe_Angles]

f(x, y) = x/y
Y axis must be doted not the x axis
Since y can't be zero
Right?

[nilanjana]

Sir if domain is bdd then the function is bdd??

[sehrawatlokesh]

1)Open nd unbounded
2)Closed unbounded
3)Closed unbounded

[shazabbri]

Sr give example when both open and closed

[nazirahmed]

Sir plz thomas calculus ka ye 14 wala chapter complete krva den plzz