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Week
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Topics
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Study Metarials
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1
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Curves in the plane
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R1-Chapter 3.5
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2
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Curves in the space E^3
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R1-Chapter 3.7
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3
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Special curves
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R1-Chapter 3.9
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4
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Spherical indicatrix curves
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R1-Chapter 3.10
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5
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Surfaces in the space E^3
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R1-Chapter 4.2
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6
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Hypersurfaces, Orientation on Hypersurfaces, Geodesic curves
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R1-Chapter 4.3, 4.4
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7
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Shape operator
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R1-Chapter 4.5
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8
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The calculation of the matrix of the shape operator
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R1-Chapter 4.5
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9
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Gauss map, Fundamental forms
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R1-Chapter 4.6, 4.7
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10
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Principal curvatures, Principal directions, Gaussian curvature
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R1-Chapter 4.9
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11
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Mean curvature, Curvature line, Umbilic point-Flat point
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R1-Chapter 4.9
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12
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Conjugate tangent vectors, Asymptotic direction, Asymptotic line
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R1-Chapter 4.9
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13
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Geodesic and normal curvature of surface curves
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R1-Chapter 4.10
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14
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Ruled surfaces
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R1-Chapter 6.6
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