Calculus

• Mathematics · Calculus Area between two curves Pick a pair of curves and watch the plane region between them get shaded. The simulation splits the region into thin strips to show that... Ages 17–18
• Mathematics · Calculus Parabola and the tangent line at a moving point The graph of y = ax² + bx + c has a point M that moves along the parabola. Drag M with the mouse or a finger; the tangent line at M is... Ages 16–17
• Mathematics · Calculus Integrals as a limit of rectangle areas The area of the curved region below the curve y = f(x) on [a, b] is approximated by n rectangles (left, right, midpoint) or trapezoids.... Ages 17–18
• Mathematics · Calculus Real-world optimization with derivatives Pick a real-world problem – designing a can that uses the least material, folding an open-top box with the largest volume, or setting a... Ages 17–18

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