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Week - 1 |
EN: Regular Curves, Arc Length Parametrization |
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Week - 2 |
Normal, Tangent, and Curvature of Plane Curves |
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Week - 3 |
Some Special Plane Curves, Some Symbolic Computation Applications |
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Week - 4 |
Frenet Frame of Space Curves, Torsion and Curvature |
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Week - 5 |
Fundamental Theorems of Curve Theory |
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Week - 6 |
Some Special Curve Families, Some Symbolic Computation Applications |
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Week - 7 |
Regular Surfaces, First Fundamental Form |
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Week - 8 |
Tangent Plane and Differential of Functions |
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Week - 9 |
Local Geometry of the Gauss Map |
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Week - 10 |
Second Fundamental Form and Shape Operator |
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Week - 11 |
Principal Curvatures and Principal Directions |
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Week - 12 |
Mean Curvature and Gaussian Curvature, Some Symbolic Computation Applications |
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Week - 13 |
Normal Curvature, Lines of Curvature, and Asymptotic Curves |
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Week - 14 |
Some Surface Examples and Symbolic Computation Applications |