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1 | (3) |
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Indeterminate Forms and Improper Integrals |
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4 | (8) |
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4 | (4) |
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8 | (4) |
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12 | (12) |
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Introduction to polar coordinates |
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12 | (6) |
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Area in polar coordinates |
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18 | (6) |
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24 | (38) |
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24 | (2) |
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26 | (1) |
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26 | (3) |
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Geometric series: The extroverts |
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29 | (2) |
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31 | (1) |
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Integral test and p-series: More friends |
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32 | (4) |
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36 | (5) |
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Alternating series and absolute convergence |
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41 | (3) |
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More tests for convergence |
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44 | (2) |
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46 | (2) |
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Which test to apply when? |
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48 | (2) |
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50 | (7) |
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Taylor's formula with remainder |
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57 | (3) |
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Some famous Taylor series |
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60 | (2) |
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Vectors: From Euclid to Cupid |
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62 | (32) |
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62 | (6) |
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Space: The final (exam) frontier |
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68 | (2) |
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70 | (2) |
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72 | (6) |
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78 | (7) |
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85 | (3) |
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88 | (6) |
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Parametric Curves in Space: Riding the Roller Coaster |
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94 | (15) |
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94 | (7) |
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101 | (4) |
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Velocity and acceleration |
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105 | (4) |
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109 | (15) |
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Curves in the plane: A retrospective |
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109 | (2) |
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Graphs of equations in 3-space |
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111 | (4) |
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115 | (2) |
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Quadric surfaces (the -oid surfaces) |
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117 | (7) |
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Functions of Several Variables and Their Partial Derivatives |
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124 | (47) |
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Functions of several variables |
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124 | (5) |
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129 | (3) |
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132 | (4) |
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136 | (3) |
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139 | (10) |
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149 | (6) |
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155 | (3) |
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The gradient and directional derivatives |
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158 | (6) |
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164 | (3) |
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167 | (4) |
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171 | (45) |
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Double integrals and limits---the technical stuff |
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173 | (1) |
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Calculating double integrals |
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174 | (7) |
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Double integrals and volumes under a graph |
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181 | (3) |
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Double integrals in polar coordinates |
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184 | (4) |
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188 | (5) |
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Cylindrical and spherical coordinates |
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193 | (12) |
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Mass, center of mass, and moments |
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205 | (7) |
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212 | (4) |
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Vector fields and the Green-Stokes gang |
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216 | (36) |
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216 | (3) |
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Getting acquainted with div and curl |
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219 | (6) |
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Line up for line integrals |
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225 | (1) |
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Line integrals of vector fields |
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226 | (4) |
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Conservative vector fields |
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230 | (5) |
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235 | (2) |
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Integrating the divergence; the divergence theorem |
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237 | (4) |
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241 | (7) |
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248 | (4) |
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What's Going to Be on the Final? |
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252 | (6) |
Glossary: A Quick Guide to the Mathematical Jargon |
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258 | (11) |
Index |
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269 | |