• Lecture 01 - vector
  • Lecture 02 - parametrized curve
  • Lecture 03 - Frenet frame
  • Lecture 04 - regular curve
  • Lecture 05 - surface, tangent plane
  • Lecture 06 - surface, 1st fundamental form
  • Lecture 07 - curves in surface
  • Lecture 08 - Gauss curvature
  • Lecture 09 - normal curvature
  • Lecture 10 - curves in surface II
  • Lecture 11 - regular surface
  • Lecture 12 - the intrinsic geometry of surfaces
  • Lecture 13 - Christoffel symbols, Gauss's Remarkable Theorem
  • Lecture 14 - parallel transport, geodesic
  • Summary - Euler's idea of stuying surfaces
  • Summary - Guass's idea of stuying surfaces
  • Summary - Riemann's idea of studying surfaces
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