Calculus III Class Notes

## Class Maple Settings

 Chapter 10 Section 10.1 1 2 3 4 5 6 7 8 9 Vectors in the plane mw pdf Section 10.2 9 10 11 12 Vectors in Space mw pdf Section 10.3 12 13 14 15 16 17 18 The Dot Product mw pdf Section 10.4 19 20 21 22 23 24 25 The Cross Product mw pdf Section 10.5 26 27 28 29 30 31 32 33 34 Lines and Planes in Space mw pdf Matching Lines jpg pdf Section 10.6 34 Surfaces mw pdf Drawing Surfaces 1 2 3 4 Drawing 3D Surfaces jpg pdf Matching Quadric Surfaces jpg pdf Chapter 11 Section 11.1 35 36 37 38 39 40 Parameterized Curves mw pdf Matching Functions jpg pdf Solutions Section 11.2 40 41 42 43 44 45 46 47 48 Calculus of Vector-Valued Functions mw pdf Section 11.3 49 50 51 52 53 54 55 Chapter 12 Section 12.1 56 57 Graphs for Functions of 2 Variables mw pdf Level Sets for Functions of 3 Variable mw pdf Contour Diagrams mw pdf Matching Functions Solutions: mw pdf Matching Functions and Contours Solutions: mw pdf Level Surfaces Dali's Target Section 12.2 58 59 60 61 62 63 64 65 66 67 Limits and Continuity mw pdf Limits and Continuity Lab Section 12.3 68 69 70 71 72 73 74 75 Partial Derivatives mw pdf Section 12.4 76 77 78 79 80 81 82 83 84 Tangent Planes and Linear Approximations mw pdf Section 9.4 trig.pdf 84 85 86 Polar Coordinates mw pdf Section 9.5 87 Section 12.5 88 89 90 91 92 93 94 95 96 Chain Rule mw pdf Section 12.6 97 98 99 100 101 102 The Gradient and Directional Derivatives mw pdf Section 12.7 103 104 105 106 107 108 109 110 111 Extrema of Functions of Several Variables mw pdf Chapter 13 Section 13.1 112 113 114 115 116 117 118 119 120 121 Double Integrals mw pdf Section 13.2 122 123 124 125 126 127 128 Volume of a Solid mw pdf Section 13.3 128 129 130 131 132 Integration in Polar Coordinates mw pdf Section 13.5 133 134 135 136 137 138 Triple Integrals mw pdf Section 13.6 138 139 140 141 142 Cylindrical Coordinates mw pdf Chapter 14 Section 14.1 143 144 145 146 147 148 149 150 Vector Fields mw pdf Section 14.2 151 152 153 154 155 156 157 158 Line Integrals mw pdf Section 14.3 159 160 161 162 163 164 Section 14.4 165 166 167 168 169 170 x