aa_calculus3_hw

10.1 Vectors in the Plane	p708 1-59, 67, 75, 76
10.2 Vectors in Space	p717 1-21 eoo, 23-67, 71-75, 85, 87
10.3 Dot Product	p727 1, 5-29, 35, 45, 47, 59
10.4 Cross Product	p735 1-11, 17 [use 21], 19 [use 21], 21 [see solutions], 23-29, 35-41, 49 (see below)
"	Note: After learning to do a cross product and a box product by hand, use CROSSP (or other program) and the matrix capabilities of your calculator to do the rest of them.
10.5 Lines and Planes in Space	p744 1-17, 21, 23, 25, 27, 31-41, 45, 47, 51, 57-67
10.6 Surfaces in Space	p756 1-15, 19-29 ( choose 1 or 2 to sketch, identify the rest), 45, 51
10.7 Cylindrical and Spherical Coordinates	p763 1-31, 35-53, 75-81
11.1 Vector-Valued Functions	p774 1-13, 23, 24, 29, 47,49,53, 57-67, (69 optional)
11.2 Differentiation/Integration of Vector-Valued Functions	p783 7-21, 37-53
11.3 Velocity and Acceleration	p791 1,3 ,5 ,9 ,11, 15, 19, 21 [a(t) = tj + tk], 25, 27, 31, 37
11.4 Tangent and Normal Vectors	p800 1, 3, 7, 13, 17, 19, 23 (find only T and N), 27, 31, 33
11.5 Arc Length and Curvature	p811 1, 2, 5, 7 (arc length is optional), 9, 19, 21, 23, 31, 33
12.1 Functions of Several Variables	p827 1-27, 31-35, 49-53 (all exercises in this section are optional - pick a couple to do, like 1, 9, 13, 15, 17) (also, optionally pick a couple to do from 12.2 see way below, like 1, 3, 5, 7, 9, 11, 13)
12.3 Partial Derivatives	p846 5-17, 29, 31, 35, 47, 49, 51, 53, 59, 61
12.5 Chain Rules for Functions of Several Variables	p863 1, 5a, 9a, 13, 15, 17, 21, 25
12.6 Directional Derivatives and Gradients	p874 1, 3, 9, 13, 15, 17, 19, 25, 27, 29, 35, 37, 45, 47, 49, 51
12.7 Tangent Planes and Normal Line	p883 1, 3, 7, 11, 13-21, 25, 27, 41, 43
12.8 Extrema of Functions of Two Variables	p892 7-17
12.10 Lagrange Multipliers	p910 1, 5, 7, 9, 15, 17, 19, 23, 25, 29, 31, 33
13.1 Iterated Integrals and Area in the Plane	p921 1-41 , 45, 51, 53
13.2 Double Integrals and Volume	p930 5, 7, 9, 13, 15, 17,19, 21, 23, 29-35, 45, 47
13.3 Polar Coordinates	p939 3, 7, 13, 15, 21, 23, 25, 27, 29, 31
13.6 Triple Integrals and Applications	p965 1, 3, 5, 15, 19, 21, 23, 25, 27, 37
13.7 Triple Integrals in Cylindrical/Spherical Coordinates	p972 1-15, 28, 31 [answer to 28 is 8�/3(2 - 2^(1/2)) where � is pi]
14.1 Vector Fields	p994 1, 5, 7, 9, 27, 29, 33, 43, 47
14.2 Line Integrals	p1006 1-25, 29, 31, 33
14.3 Vector Fields and Independence of Path	p1016 1, 5, 9, 11, 13, 15, 17, 19, 23, 25, 31, 35
14.4 Green�s Theorem	p1025 1, 7, 9, 13, 17, 19, 21, 23,

*Optional Topics*
12.2 Limits and Continuity	p837 1-13 (optional)
12.4 Differentials	p855 1-15 (optional)
12.9 Applications of Extrema	p898 TBA (optional - regressions can be done easily on the a calculator)
13.4 Center of Mass and Moments of Inertia	p948 7-11 (optional)
13.5 Surface Area	p955 1-13 (optional)
13.8 Change of Variables: Jacobians	p979 1, 7, 9, 14 (optional) see HW Solutions for answer to 14
14.5 Parametric Surfaces	p1035 TBA (optional)
14.6 Surface Integrals	p1048 TBA (optional)
14.7 Divergence Theorem	p1056 TBA (optional)
14.8 Stokes�s Theorem	p1063 TBA (optional)