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Curated paths

Walk from a familiar starting point to a visual extension: stop at a high-school application, or keep going to a university concept.

  • From trigonometric functions to Fourier

    Start from trigonometric functions on the unit circle and watch single sine waves add up to a wide range of periodic signals. The path begins with high-school trigonometry and ends at Fourier series, a university topic.

    8 steps →
  • From plane vectors to three-dimensional geometry

    Start from the basic operations on plane vectors and extend the dot product and projection to three dimensions. The cross product, normal vectors, and the distance from a point to a plane lead to a GSAT problem on distance in space.

    7 steps →
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