Weeks | Topics |
1 |
Afin Space, Euclid Space
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2 |
Topological Manifolds, Homeomorfism,Hausdorff space.
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3 |
Diffeomorphism, Differentiable Manifolds, Chart, Atlas.
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4 |
Tangent vectors and Tangent Space
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5 |
Vektor Fields and Vector Fields Space
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6 |
Directed Derivation and Covariant Derivation,
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7 |
Integer Curve, Lie Operator
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8 |
Cotangeny Space, 1-form, Differentiable operatör (Gradient Function, Divergens Function, Rotational Function )
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9 |
Transformation, Coordite Functions, Derivative Function
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10 |
Midterm exam
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11 |
Curves Theory,Parameter Transform, Arc Length
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12 |
Serret-Frenet Vectors
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13 |
Oscülator Hyperplanes, Curvatures
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14 |
Weingarten Operatör, Special Curvature
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