MATHBREEZE      Math 21 - Calculus 3
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00 Course Materials, Recordings of BB sessions

121 Parametric Equations and Plane Curves


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121 - short answer homework

122 Parametric Equations and Calculus


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123_124 Polar Coordinates and Polar Graphs


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125 Area and Arc Length in Polar Coordinates (optional)


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131 Vectors in the Plane


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132 The Dot Product of Two Vectors


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133 Vector Valued Functions (optional)


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141 Space Coordinates and Vectors in Space


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142 The Cross Product of Two Vectors in Space


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143 Lines and Planes in Space


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144 Surfaces in Space


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Table of Quadric Surfaces

Rev01 Review for exam 1

151 Introduction to Functions of Several Variables


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152_153 Limits and Continuity; Partial Derivatives


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154 Differential


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155 Chain Rules for Functions of Several Variables


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156 Directional Derivatives and Gradients (optional)


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157 Tangent Planes and Normal Lines (optional)


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158 Extrema of Functions of Two Variables


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161 Iterated Integrals and Area in the Plane


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162 Double Integrals and Volume


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163 Change of Variables: Polar Coordinates (Optional)


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Rev02 Review for exam 2


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Review for exam 2
Review for exam 2
Review exam 2 solutions

101_102 Sequences and Series


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103 The Integral Test and p-Series


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104 Comparisons of Series


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105 Alternating Series


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106 The Ratio and Root Tests


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107 Taylor Polynomials and Approximations


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108 Power Series


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109 Representations of Functions by Power Series


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1010 Taylor and Maclaurin Series


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