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09HW - MATH 203 Problem Sets Fall 2009 Due Monday 1.1...

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MATH 203 Problem Sets Fall 2009 Due Monday September 28, 2009 1.1 Vectors in two and three dimensional space: 5*, 9, 16, 18*, 25 1.2 The inner product, length and distance: 4*,6*, 10, 14, 18*, 24 1.3 Matrices, determinants and the cross product: 2c*, 6, 13*, 14, 15c, 25* 1.R Review exercises (p. 87-93): 10*, 16, 46, 19* Due Monday October 5, 2009 1.5 Properties of Matrices: 8*, 12, 13 2.1 The geometry of real valued functions: 9*, 18, 22, 30* 2.2 Limits and continuity (examples of limits): 8, 11* 2.3 Differentiation: 2, 3*, 4e*, 7c*, 12c*, 15, 18 2.4 Introduction to paths: 4, 8, 20* Due Monday October 12, 2009 2.5 Properties of the derivative: 3, 4*, 5d, 7, 12*, 17c, 19*, 24 2.6 Gradients and directional derivatives: 2c*, 4b*, 5a, 7b, 9, 12*, 16*, 24 2.R Review exercises: 32, 50, 51* 3.1 Iterated partial derivatives: 5*, 12, 17*, 18 Due Monday October 19, 2009 3.2 Taylor’s theorem: 1, 4*, 6 3.3 Extrema of real valued functions: 8*, 11, 14, 19, 24*, 33*, 34 3.4 Constrained extrema and Lagrange multipliers: 5, 10, 12*, 21* 3.R Review exercises: 15, 30b* Due Monday October 26, 2009 4.1 Acceleration and Newton’s second law: 8, 18*, 20 4.2 Arc length: 2, 4*, 6, 7*, 11 4.3 Vector fields: 8, 12*, 14*, 17, 18, 19* 4.4 Divergence and Curl: 3*, 5, 26*, 27 4.R Chapter review: 8*, 31 1

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