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
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
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Section 14.4

165 166 167 168 169 170

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