#calculus is an active hashtag on Bluesky. In the last 30 days, 72 people shared 192 posts with it — around 6 a day. Activity is up 1667% versus the previous week, peaking on Sep 21 with 60 posts.

Posts with #calculus

YrrOi

@yrroi.bsky.social

3 days ago

www.twitch.tv/videos/28797... Just wrapped this week's stream on multivariable integration, featuring some live singing and bass - a cover of Billie Eilish's L'Amour de Ma Vie by myself! #stream #twitch #math #calculus #integration #surfacearea #sphere #indiemusic #singing

Differentiation using the chain rule of the function 2x^3 + 5x + 7 = 6x^2 +5. Integration of the function 6x^2 + 5 dx = 2x^3 + 5x + c. Tetration is a function of stacking exponentials, a^a^a^a... well beyond my wheelhouse.
Double variable indefinite integration of the function x^2 y dy dx, separated into integral of x^2 dx times integral of y dy, resulting in the answer of (1/6)x^3 y^2.
Question asked by Sandels_45, represented here as a slightly shiny orb, of a double integral of y^x dydx is a nontrivial integrand, and cannot be evaluated this way, instead requiring a special function called the exponential integral, also something I've not prepared to discuss. Many special case integrals are only defined as "the solution to a difficult problem", so this may be all I can tell you about it, but please dig into this on your own. :)

Cartesian and spherical coordinates explained through diagrams. Rho (a curly P) is defined as the 3D radius of the sphere, phi as the polar angle running from 0 to pi, and theta as the azimuthal angle running from 0 to 2pi. A 2D slice of the sphere can be calculated by looking at the projection of the 3D radius rho into a circle in the 2D plane with a radius of r = rho sin phi.
A volume element can be described using the definition of radian angles and arc lengths, where the polar edge is given by rho delta phi, and the azimuthal edge is given by r delta theta = rho sin phi delta theta.
Using this description of a surface area element, the surface of a full sphere A can be calculated as the double integral from 0 to 2pi, from 0 to pi, of rho^2 sin theta dphi dtheta. This expression can be separated into A = rho^2 integral from 0 to 2pi dtheta integral from 0 to pi of sin phi dphi, then A = rho^2 (theta evaluated from 0 to 2pi) (-cosphi evaluated from 0 to pi) = 4 pi rho^2 = A.

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The Conversation U.S.

@us.theconversation.com

over 1 year ago

Imaginary numbers aren't just mathematical curiosities. They simplify #trigonometry, #calculus, and #geometry, opening up new possibilities in #math and #science. A mathematician explains: buff.ly/tznSsAv William Ross @urichmond.bsky.social 🧪

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John Golden

@johngolden.bsky.social

almost 2 years ago

#mathstoday surprisingly rich #calculus discussion today about these velocity graphs and which car traveled farther in four hours

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The Conversation U.S.

@us.theconversation.com

over 1 year ago

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Jennifer Vibber

@mrsvibbermath.bsky.social

almost 2 years ago

I showed this ellipsoid in multivariate calculus today... I said it looked like Advil. My students said "How come you didn't say M&M or Skittles?" My only answer was... "I'm in my 40s, I see Advil because I'm old." #Edusky #Calculus #iteachmath

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Good Game Stuff

@goodgamestuff.bsky.social

over 1 year ago

So you want hardcore math? I hear you, here is the ultimate 16k cheat sheet for advanced math! Color coded by topic, perfect for game devs building wizardry. 🧙‍♂️🎮 16k img link in reply. #math #gamedev #unity #unrealengine #godot #calculus #curriculum

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J. C. Jones

@thejcjones.bsky.social

7 months ago

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@juliancroft95.bsky.social

2 days ago

Setting up the D and I columns takes x³ down through 3x², 6x, and 6 to zero while e²ˣ integrates cleanly down the right side. Pair every diagonal, alternate the signs starting with plus, and pull e²ˣ straight out of the sum to… #calculus #integration #studytips #funny #animation #tomfamily #SoviAI

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J. C. Jones

@thejcjones.bsky.social

7 months ago

1 2 20

Erick Lee

@theericklee.bsky.social

3 months ago

A couple of questions for the final day of my #calculus class. The hexagon question was from a post at the other place by Henk Reuling. I added the square version as a simplified option. #ITeachMath #MathsToday

$Two calculus challenges side by side, framed in rounded blue borders. On the left side, labeled Mild, a text prompt asks, A parabola is drawn inside a square. What fraction of the square is colored red? Below the text is a square containing a bright red vertical parabola whose peak touches the top edge midpoint and whose base spans the bottom corners from edge to edge. On the right side, labeled Spicy, a text prompt asks, A parabola is drawn inside a regular hexagon. What fraction of the hexagon is colored red? Below the text is a regular hexagon resting on a flat bottom edge, containing a tall red vertical parabola whose peak touches the midpoint of the top edge and whose base spans the bottom edge from corner to corner. For both challenges, the areas inside the shapes but outside the red parabolas are shaded light grey.$

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Erick Lee

@theericklee.bsky.social

3 months ago

A #MathArt project with my #calculus class! A "Riemondrian" art project inspired by @mathzorro.bsky.social. Students used a Riemann Sum to approximate the area under their curve. Then created additional blocks of color using custom color palettes (this one is "Moon Mist"). #ITeachMath #MathsToday

A geometric Desmos graph depicting a Riemann sum with a Piet Mondrian abstract art aesthetic. A thick, vibrant coral-pink cubic function curve waves smoothly from left to right across the square frame. The graph is filled with a grid of rectangular blocks using a "Moon Mist" ice cream color palette: grape purple, banana yellow, bubblegum blue, and crisp white. The colorful blocks form vertical columns bounded by clean, dark teal lines, abstractly representing the calculus area approximation underneath the pink curve.

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Erick Lee

@theericklee.bsky.social

4 months ago

Working on a #calculus tea party activity for my class. Recording the temperature of a cup of tea as it cools using a #microbit. Still figuring some things out. @edtechcocek.bsky.social #ITeachMath