List questions from multivariable-calculus

Published on 15 Apr 2026 - 18:23

59

Views

A curious multivariate differential identity.

Published on 11 Apr 2026 - 14:35

249

Views

Explicit Map from $\mathbb{T}^{3}$ to $SU(2)$

Published on 15 Apr 2026 - 13:02

60

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Extrema of $f(x,y)=e^{x(y+1)}$ for $\sqrt{x^2+y^2} \le 1$

Published on 17 Apr 2026 - 12:01

85

Views

Chain rule formula

Published on 10 Apr 2026 - 1:10

57

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Describe Image with restrictions on $\mathbb{C}$

Published on 13 Apr 2026 - 22:01

152

Views

Double integration over a "triangular" semialgebraic set

Published on 13 Apr 2026 - 7:55

187

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Change of variable with circle and ln

Published on 11 Apr 2026 - 20:44

44

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Proving System of Equations can be solved about $(3,0,1)$

Published on 13 Apr 2026 - 12:15

66

Views

What conditions would guarantee $\Psi: \mathbb{R}^n \rightarrow \mathbb{R}^2$ to be non-zero in a small neighbourhood?

Published on 15 Apr 2026 - 8:58

56

Views

Notation and functions in a linear system of ODEs?

Published on 16 Apr 2026 - 8:11

151

Views

Computing $\int_{S} \vec{F}.\hat{n}\,dS$ where $S:\{(x,y,z)\in R^3:x^2+y^2+2z=2,z\geq 0\}$

Published on 15 Apr 2026 - 18:11

473

Views

double integral in polar coordinates formula proof

Published on 13 Apr 2026 - 7:55

117

Views

Positivity of a normal derivative of $C^2$ function

Published on 13 Apr 2026 - 22:08

78

Views

Making a limit substitution rigorous

Published on 11 Apr 2026 - 3:19

List Question

Determine the orientation of a normal vector for Stokes' Theorem

A curious multivariate differential identity.

Explicit Map from $\mathbb{T}^{3}$ to $SU(2)$

Extrema of $f(x,y)=e^{x(y+1)}$ for $\sqrt{x^2+y^2} \le 1$

Chain rule formula

Describe Image with restrictions on $\mathbb{C}$

Double integration over a "triangular" semialgebraic set

Change of variable with circle and ln

Proving System of Equations can be solved about $(3,0,1)$

What conditions would guarantee $\Psi: \mathbb{R}^n \rightarrow \mathbb{R}^2$ to be non-zero in a small neighbourhood?

Notation and functions in a linear system of ODEs?

Computing $\int_{S} \vec{F}.\hat{n}\,dS$ where $S:\{(x,y,z)\in R^3:x^2+y^2+2z=2,z\geq 0\}$

double integral in polar coordinates formula proof

Positivity of a normal derivative of $C^2$ function

Making a limit substitution rigorous

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