Calculus 3: Lecture 12.2 Differentiation and Integration of Vector-Valued Functions

[bigshaqsmathematicalinstit]

I like how you are constantly engaging with students. I wish my professors were like you but we got PowerPoint lectures instead(who does PowerPoint for math?).

[Michael-gulg]

What college is this, and how can I transfer there?!

You are a great teacher-- I can understand what you are lecturing because you explain it clearly and directly. I am taking Calculus III presently and our instructor will write on the whiteboard for the 2 hour duration of class without even looking at the students, speaking monotone in a thick accent (which I know he cannot help, but eye contact and engagement would make up for the heavy accent), being extremely unorganized because he does not care-- So I don't understand the material being presented in class. The homework is posted weeks after lecture, it does not synchronize with the course. Literally, I have seen students with their hands raised for 15 minutes, then give up because he does not see them-- he only looks at the board. There are only 6 students in the course, and we are waiting weeks for our 1 exam worth 25%, which was very hard and did not include a lot of material we were told to study-- It is just a course meant to break us.

If I am to pass Calculus III this semester, it will because YOU taught me the material. So, thank you!

[peacepeople]

9:45 absolutely crazy looking back now!

[BorisTreukhov]

Hello, Happy New Year
q1 At 17:20 Could you please explain what is the meaning this definition? I mean I get that it's a function without cusps but what is this definition for, what is the purpose, is this a preparation for regular parametrisation of curve? Did you mean "smooth curve"? I'm more used to smoothness in C^k sense.

q2 Also I don't understand what happens if the derivative does not exist instead of being zero/nonzero, in what category will the function fall then? Or does "not equals" always mean "(derivative) exists and is equal to something else" in math?

P.S. I didnt took local equivalent of diffgem/calc3 yet, just looking into it. Thanks in advance!

[sandaruwanmadushanka]

Sir..! Can you explain the results when vector valued function multiple by its derivative

[aldominicgatlabayan]

they still don't know that US will be the hardest hit

[corneliuscornwall]

why is the camera constantly panning ....for the love of god hold still