| Preface |
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iii | |
| Acknowledgements |
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iv | |
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Chapter 0 Getting Started with Maple |
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1 | (38) |
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1 | (17) |
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Basics of Graphing in Maple |
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18 | (17) |
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35 | (4) |
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Chapter 1 An Introduction to Maple commands |
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39 | (35) |
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39 | (24) |
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63 | (1) |
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64 | (4) |
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68 | (6) |
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74 | (51) |
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74 | (1) |
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Limits using Maple Commands |
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75 | (6) |
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81 | (9) |
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Intermediate Value Theorem |
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90 | (2) |
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92 | (5) |
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The Precise Definition of a Limit |
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97 | (8) |
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105 | (6) |
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111 | (4) |
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115 | (10) |
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125 | (33) |
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Definition of the Derivative |
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125 | (1) |
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Equation of a Tangent Line |
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126 | (3) |
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Step-by-step Differentiation |
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129 | (8) |
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Applications of the Derivative |
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137 | (1) |
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138 | (7) |
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145 | (3) |
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148 | (5) |
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153 | (5) |
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Chapter 4 Graphs of Functions Using Limits and Derivatives |
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158 | (41) |
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158 | (1) |
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159 | (35) |
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194 | (5) |
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Chapter 5 Applications of Differentiation |
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199 | (30) |
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199 | (2) |
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201 | (2) |
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203 | (7) |
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210 | (3) |
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213 | (3) |
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216 | (5) |
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221 | (8) |
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229 | (30) |
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229 | (17) |
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Simpson's Rule and the Trapezoidal Rule |
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246 | (8) |
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254 | (5) |
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Chapter 7 Integration Techniques |
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259 | (36) |
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Definite and Indefinite Integrals |
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259 | (6) |
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265 | (1) |
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266 | (4) |
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270 | (3) |
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273 | (8) |
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Trigonometric Substitution |
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281 | (4) |
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Integration of Rational Functions using Partial Fractions |
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285 | (7) |
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292 | (3) |
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Chapter 8 Applications of Integration |
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295 | (27) |
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295 | (3) |
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298 | (12) |
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310 | (2) |
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312 | (4) |
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Average Value of a Function |
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316 | (2) |
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318 | (4) |
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Chapter 9 Differential Equations |
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322 | (28) |
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322 | (1) |
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First Order Differential Equations |
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322 | (10) |
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Higher Order Differential Equations |
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332 | (6) |
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Bernoulli Differential Equations |
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338 | (2) |
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Non Linear Differential Equations |
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340 | (2) |
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342 | (2) |
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344 | (3) |
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347 | (3) |
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Chapter 10 Sequences and Series |
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350 | (32) |
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350 | (5) |
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355 | (11) |
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366 | (2) |
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368 | (3) |
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Taylor and Maclaurin Series |
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371 | (7) |
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378 | (4) |
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Chapter 11 Parametric and Polar Curves |
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382 | (23) |
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382 | (8) |
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390 | (12) |
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402 | (3) |
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Chapter 12 Matrices and Vectors |
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405 | (28) |
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405 | (12) |
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417 | (13) |
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430 | (3) |
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Chapter 13 Limits and Continuity of Multivariate Functions |
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433 | (19) |
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433 | (1) |
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434 | (5) |
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439 | (11) |
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450 | (2) |
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Chapter 14 Partial Derivatives |
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452 | (34) |
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452 | (9) |
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461 | (2) |
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463 | (1) |
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Local Maxima, Local Minima, and Saddle Points |
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464 | (8) |
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472 | (3) |
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Gradient and Directional Derivatives |
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475 | (6) |
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481 | (5) |
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Chapter 15 Multiple Integrals |
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486 | (39) |
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486 | (17) |
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503 | (5) |
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508 | (2) |
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510 | (2) |
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512 | (4) |
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516 | (4) |
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520 | (5) |
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Chapter 16 Vector Analysis |
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525 | (20) |
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Line Integrals and Vector Fields |
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525 | (6) |
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Conservative Vector Fields |
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531 | (5) |
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536 | (1) |
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537 | (2) |
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539 | (3) |
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542 | (3) |
| Appendix A With (Packages) |
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545 | (5) |
| Appendix B Maple Commands |
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550 | (19) |
| Appendix C References |
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569 | (1) |
| Index |
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570 | |
