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There is also a dark mode version of this video:    • Multivariable Calculus 2 | Continuity...  
There is also a bright mode version of this video:    • Multivariable Calculus 2 | Continuity  

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This is my video series about Multivariable Calculus also known as Analysis with more variables or in higher dimensions. I hope that it will help everyone who wants to learn about it. We discuss partial derivatives, the nabla operator, gradient, Jacobians, Hessian, Lagrange multipliers, extrema, Lagrange function, and so on. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: https://tbsom.de/s/community

Here we talk about continuity.

0:00 Intro
0:25 Continuous Functions
1:45 Continuity via sequences
2:39 Measuring distance in ℝⁿ
5:31 Convergent sequences in ℝⁿ
8:20 (Nontrivial) Link between singlevariable convergence definition vs. new definition
10:33 Multivariable continuity

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

Here we talk about continuity.

0:00 Intro
0:25 Continuous Functions
1:45 Continuity via sequences
2:39 Measuring distance in ℝⁿ
5:31 Convergent sequences in ℝⁿ
8:20 (Nontrivial) Link between singlevariable convergence definition vs. new definition
10:33 Multivariable continuity

(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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The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start