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Course: MAT 203, Fall 2009
School: Princeton
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203 MATH 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...

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203 MATH 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 Taylors 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 Newtons second law: 8, 18*, 20 4.2 Arc length: 2, 4*, 6, 7*, 11 4.3 Vector elds: 8, 12*, 14*, 17, 18, 19* 4.4 Divergence and Curl: 3*, 5, 26*, 27 4.R Chapter review: 8*, 31 1 Due Monday November 2009 5.1 9, Introduction: 1a, 1c*, 4, 6, 9, 11* 5.2 The double integral over a rectangle: (2ad)*, 4*, 6, 11 1.4 Cylindrical and spherical coordinates: 1, 2, 3*, 4, 8*, 10, 12*, 15 Due Monday November 16, 2009 5.3 The double integral over more general regions: 1, 2f*, 3, 5*, 6, 8, 11* 5.4 Changing the order of integration: 2b*, 5*, 6, 8 5.5 The triple integral: 10*, 11*, 12, 16, 23, 25* Due Monday November 23, 2009 6.1 The geometry of maps from R2 to R2 : 1, 3*, 6*, 7, 8, 10 6.2 The change of variables theorem: 1*, 8*, 11, 21*, 22, 24, 29*, 33* 6.3 Applications of double nd triple integrals: 5, 8, 9, 12*, 15* Due Monday November 30, 2009 6.4 Improper integrals: 2*, 5*, 6, 18 6.R Review exercises: 29* 7.1 The path integral: 2a*, 4a*, 6, 11*, 13 7.2 Line integrals: 2b*, 3, 4, 6*, 8*, 14, 16, 18*, 19 Due Monday December 7, 2009 7.3 Parametrized surfaces: 1*, 2, 14*, 15 7.4 Area of a surface: 3*, 4, 11, 18*, 22c Due Monday December 14, 2009 7.5 Integral of scalar functions over a surface: 1, 10*, 11, 17, 18*, 19 7.6 Integral of vector functions over a surface: 4, 5*, 8, 18* 8.1 Greens theorem: 3d, 6*, 12*, 18 Due Friday,December 18, 2009 8.2 Stokes theorem: 5, 7*, 8*, 11, 14, 23* 8.3 Conservative vector elds: 6, 11, 12*, 15c*, 24 8.4 Gauss theorem: 7*, 8*, 11, 13, 14*, 15, 18, 22* 2
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Princeton - MAT - 203
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