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Related lectures (31)
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Ellipse and Circle: Geometric Analysis
Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.
Descriptive Geometry: Cones and Cylinders
Explains tangent planes on cones and cylinders, contours apparent, and shadows cast by surfaces.
Tangent Vectors and Bézier Curves
Explains tangent vectors of curves and the construction and applications of Bézier curves in computer graphics.
Tangent vectors without embedding space: Making tangent spaces linear
Explores making tangent spaces linear, defining tangent vectors without an embedding space and their operations, as well as the equivalence of different tangent space notions.
Implicit Functions Theorem
Explores the implicit functions theorem and the equation of the tangent plane in a graph.
Implicit Function Theorem
Covers the Implicit Function Theorem for functions of two variables and explores graphical representations and tangent lines.
Tangent vectors without embedding space: Equivalence classes
Delves into tangent vectors as equivalence classes on manifolds, highlighting their abstract nature and role in optimization.
Parametric Curves: Envelope and Caustics
Explores parametric curves, focusing on finding envelopes and caustics.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Limits and Methods
Covers limits, unknown functions, normal vectors, and tangent planes for 3D surfaces.
Descriptive Geometry: The Sphere
Explores the properties and sections of a sphere, including symmetry, tangent planes, and circle projections.
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