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lecture4 - Lecture 4: Conics and Quadric Surfaces (The...

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Unformatted text preview: Lecture 4: Conics and Quadric Surfaces (The higher dimensional cousin) May 8, 2009 Lecture 4: Conics and Quadric Surfaces (The higher dimensiona Objectives 1 Review of conic sections Sketch graphs (roughly) Recognize equations in standard form 2 Introduction to Quadric Surfaces Understand how graphs and equations are connected Construct and sketch traces Lecture 4: Conics and Quadric Surfaces (The higher dimensiona Conic sections The graph of second degree (quadratic) equations in two dimensions. Ax 2 + By 2 + Cxy + Dx + Ey + F = 0 Lecture 4: Conics and Quadric Surfaces (The higher dimensiona Conic sections The graph of second degree (quadratic) equations in two dimensions. Ax 2 + By 2 + Cxy + Dx + Ey + F = 0 Intersection of plane and double cone Lecture 4: Conics and Quadric Surfaces (The higher dimensiona Conic sections Lecture 4: Conics and Quadric Surfaces (The higher dimensiona Conic sections Parabola Geometrically: The set of all points that are equidistant from a fixed point (called the focus) and a fixed line (called the directrix) Algebraically: The graph of y = cx 2 or x = cy 2 Lecture 4: Conics and Quadric Surfaces (The higher dimensiona Conic sections Parabola Geometrically: The set of all points that are equidistant from a...
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lecture4 - Lecture 4: Conics and Quadric Surfaces (The...

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