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NATURE Letters to Editor from Gibbs and Tait regarding vectors 1893: Tait on Gibbs Vector Analysis , Gibbs' Reply to Tait , Tait , History of Math: Gibbs
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The Million Dollar PDE
The Multiple Tongue Roll
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FALL 2010 HOMEWORK

Points and Vectors (which we treat as the same thing mathematically): 13.1: 10,11,16,34,36 13.2: 6,14,22,30,34 Dot/Scalar Products: 13.3: 2,22,24,26,32,38	homework 1 solutions
Cross/Vector Products: 13.4: 10,14,16,22,43 Lines and Planes: 13.5: 4,13,29,38,40,46,48	homework 2 solutions
Other Surfaces: 13.6: 8,18,36,41,44 Vector Functions and Parametric Curves: 14.1: 8,10,16,41,42,43	homework 3 solutions
Derivatives and Integrals of Vector Valued Functions 14.2: 1,4,12,26,30,32,36 Applications of Vector Valued Functions 14.4: 2,12,19,24,30,40	homework 4 solutions
Arc Length (updated 9/23/10): 14.3: 2,14,16 Functions of Several Variables: 15.1:2,12,16,30,32,34,44,54 Continuity in Several Variables: 15.2:2,6,8,18,32,40	homework 5 solutions
Partial Derivatives and Tangent Planes: 15.3: 18,20,22,44,50,62 15.4: 2,5,6,12,16 15.5: 8,12,22,26,44,53	homework 6 solutions
Directional Derivatives: 15.6: 2,8,22,30,32,34,36,42,49	homework 7 solutions
Maxima and Minima of Functions 15.7: 6,8,37,45,32,34 Lagrange multipliers 15.8: 1,2 (use wolfram alpha or some other graphing utility),4,6,16,32	homework 8 solutions
Double Integrals 16.1: 6,12,14 Iterated Integrals 16.2: 8,17,24,27 Double Integrals over General Regions 16.3: 11,14,15,20,28 Double integrals in polar coordinates 16.4: 8,22,25,30,35	homework98 solutions
Applications and review. Only mass, center of mass, centroid 16.5: 2,12 Triple integrals 16.6: 9,14,16,22,25,31 Triple integrals in cylindrical coordinates. 16.7: 15,21,26,28	homework 10 solutions
Triple integrals in spherical coordinates 16.8: 22,25,30,39 Change of Variables 16.9: 8,12,14	homework 11 solutions
17.1: 5,6,7 17.2: 4,8,10,18,20,40,104 17.3: 1,4,16,20,22,26,34 17.4: 2,8,10,12,14,17 17.5: 5,10,12,15,22,25,30,31	Homework 12 and 13 solutions

quiz 1 solutions

quiz 2 solutions

quiz 3 solutions

quiz 4 solutions

quiz 5 solutions

quiz 6 solutions

Exam 01 (Fall 2010)	solutions
Exam 02 (Fall 2010)	solutions
Exam 02 (Spring 2010)	solutions   (Errata: 3b is wrong)
Exam 03 (Fall 2010)	solutions (problem 5 (not on exam), forget to divide r^2 by 2 when evaluating the second integral)
Exam 03 (Fall 2009)
Final (Fall 2010)
Final (Fall 2009)

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