Objectives: 1. Define a function of two variables and of three variables. 2. Define level set (level curve or level surface) of a multivariable function.
thank you so much, you saved my entire calculus 2 cramming life. and shout out to some vinunians (if u ever saw this comment), you have just entered a much easier calc2 learning path !! ^^
As we move along the x-axis in either direction, the first trace we reach is z = +4. As we move outward, we will continue to pass traces where z = some positive number, with those numbers increasing. If you want to verify, draw a few traces, like z = 8, z = 10, etc. All of these traces will intersect with the x-axis. Hence as we move along the x-axis in either direction, we will pass traces such as z = +4, z = +8, z = +10, etc. Therefore, z is increasing. It's a similar idea when we move along the y-axis in either direction. In this case, we will pass through such traces as z = -4, z = -8, etc., so z is decreasing.
@@Mary-mj7le do you know if the videos were of her teaching calc 3 material? Cuz that would mean she's got a stacked full of highschool kids learning calc 3
I've seen tutorials on a lot of subjects i haven't enjoyed a class and learn at the same time like now...You are amazing, thank you.
Thank you, your videos really help. I can either watch to review or to learn in case I miss a class.
I love having these examples and you going through them! You are very easy to understand. Studying during quarantine isn’t easy😅
Im watching in South Korea! your video is super helpfull!!!! Thanks alot!!!
These videos super help!!! Thank you so much for releasing them :)
Nice refresher for my quiz over chapter 14 tomorrow.
thank you so much, you saved my entire calculus 2 cramming life. and shout out to some vinunians (if u ever saw this comment), you have just entered a much easier calc2 learning path !! ^^
WOW my native languages is spanish but i need to say your english maths videos are awesome!
Very helpful❤love from South Africa
you are a hero and the gods will welcome you into Valhalla as a brother
wtffffffffffff
xdddd
Lmao
😂
do you have video for 14.3
wher to learn about graphs in the book such as elliptic paraboloids and stuff like that. Thank you
She is just🔥🔥🔥 the way she is Explaining❗
Thanks a lot and respect from somewhere
🖤❤️🖤
Can someone please explain what's going on at 23:07? How does z decrease as we go along the Y axis
you are like a hero of my life
Thank you !!!
Do you have practice tests available?
ابداع 💕💕👍
That stern tone lol
You deserve's a sub
thanks for lecture
literally so easy to understand you
great video!
Hi
when she says no one recalled asking for anyone opinion lmaoo
much helpful, thank you so much!!!
At around 22:53 can you explain why z is increasing (and why z is decreasing at 23:15)?
As we move along the x-axis in either direction, the first trace we reach is z = +4. As we move outward, we will continue to pass traces where z = some positive number, with those numbers increasing. If you want to verify, draw a few traces, like z = 8, z = 10, etc. All of these traces will intersect with the x-axis. Hence as we move along the x-axis in either direction, we will pass traces such as z = +4, z = +8, z = +10, etc. Therefore, z is increasing.
It's a similar idea when we move along the y-axis in either direction. In this case, we will pass through such traces as z = -4, z = -8, etc., so z is decreasing.
@Alexandra Budden thank you!! I don’t know why that slipped my mind
life saver
I know this is supposed to be a serious lecture but I laughed so hard at 22:22 🤣🤣
thanks
I like the ring
tutor please am kindly requesting for any book with such questions thank you
this is following james stewart calculus text, correct?
Yes!
@@alexandraniedden5337 yes
@@alexandraniedden5337 thomas calculus is almost similar, thank you
Upload 14.8 (Lagrange's Multiplier) ASAP
Thank you my teacher is awful and you make it so much better
11:23 the rest didn't answer so that's a no, not a maybe... Unless you have one person in class and you are still unsure of their skill.
Mam exersice 14.2?
The disappointment in her voice at 10:40 is pretty funny
Amazing teacher
Your pen holding style is similar as mine 😂😂
gamechanger
Smn, answer please! At which grade do you study this?
I currently teach this class to high school seniors. This class is a dual credit, college-level course.
@@alexandraniedden5337 thanks
Thanks
bookmark: 20:00
Is this free? I should be paying for this.
super teacher
Jakelo
Mauern 9el
Badimng
Strat777777
F(x) va
This cannot be a university class.
sounds like a fun one to be in right?
It isn't, in one of her videos she says this is a high school
@@Mary-mj7le do you know if the videos were of her teaching calc 3 material? Cuz that would mean she's got a stacked full of highschool kids learning calc 3
@@zano9291 yep it was a video in ch 15 , she said something about “when you guys get to college...” blah blah
@@Mary-mj7le 😳😳😳😳 wonder where she teaches
It's so disheartening to hear the lack of interaction from your students.
too fast