In this video, I derive the fundamental solution for the heat equation, just like I did for Laplace’s equation, by simply making a clever guess and plugging that guess into the PDE. It’s a delight for differential equations-lovers!

related rates, one ship sails south and another sails north Related rates example, this problem is taken from Single Variable Calculus, by James Stewart, 8th...

3 integral techniques that EVERY calc 1 student has to know,

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No sé si volveremos en un ciclo segundo como vuelven las cifras de una fracción periódica; pero sé que una oscura rotación pitagórica noche a noche me deja en un lugar del mundo [...] ◼️ Jorge Luis Borges, Velas sobre un recuerdo El triángulo de Reuleaux…

Thanks to Professor Peer Johannsen at Pforzheim University for creating this puzzle! Color four dots blue or erase four blue dots to make a valid equation: (...

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#IntegralBattles, #Usubstitution worksheet: https://blackpenredpen.com/calc1 integral of 1/sqrt(1-x^2) vs. integral of x/sqrt(1-x^2), Please subscribe for mo...

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This video features Cliff Stoll.
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In this video I calculate the area of an ellipse using parametric equations. Notice how much neater it is than to do it directly! Enjoy!