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Unformatted text preview: 2. Scalar Functions of Several Variables Reading: Marsden and Tromba, Vector Calculus , Chapter 2. a) Pictures: plane, paraboloid, hyperboloid in R 3 . b) Continuity c) Directional Derivative special case: partial derivatives. Example: Linear polynomial f ( X ) := h b, X i , where b R 2 is a constant vector (not depending on X ). This denes a plane z = h b, X i in R 3 Quadratic polynomial g ( X ) := h X, AX i d) Best Linear Approximation [Best Ane Approximation] e) The Gradient [Last revised: February 16, 2012] 1...
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- Spring '12