Multivariable Calculus 3 | Examples of Continuous Functions

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Here we talk about continuity and look at some concrete examples of functions.

#MultivariableCalculus
#Analysis
#Integral
#Calculus
#Derivatives
#Mathematicspdt
#Lagrange

(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

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Комментарии
Автор

I really like your examples! Is there a ‚trick‘ to see what sequence you could use as a counterargument without plotting it first?

verafink
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Awesome video! Thank you! And I loved that you used Python for visualization. The visualization looks like Plotly, I see. Very beautiful and interactive

AJ-etvf
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Great video. What device do you use to write these notes? They're beautiful!

ferguscurrie
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Why did you not replace the 1/k in the formulas when going to the origin in the axis, even though the values themselves are not 0? I think you should have done the same like with 1/k, 1/k

gerocastano
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Can you do a example function from R² to R²?

aashsyed
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The crucial part is how to show that b) and c) are contionous on every point except at (0, 0), that's what I am looking for.

nayjer