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12.1 Functions of Several Variables | 639-645 | 14, 15, 19, 20, 37, 39 | 16, 18, 21, 23, 38 |
12.3 Partial Derivatives (u mag voor "find ... normal line" lezen: "find ... normal vector") | 650-656 | 2, 6, 8, 13, 19, 23 | 3, 9, 18, 20, 24 |
12.4 Higher-Order Derivatives | 657-661 | 1, 5 | 4, 6 |
12.5 Chain Rule | 663-670 | 1, 7, 11 | 2, 6, 8 |
12.7 Gradients and Directional Derivatives Let op: in Theorem 6 staat een belangrijke stelling, die tevens de belangrijkste resultaten van Sectie 12.3, blz. 654, omvat. Bekijk hier de samenvatting. | 680-688 | 1, 3, 5, 11, 13 | 2, 4, 6, 12 |
12.8 Implicit Functions | 690-693 | 1, 3, 12 | 4, 11 |
12.9 Taylor Series and Approximations | 699-702 | 7, 11 | 8, 12 |
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14.1 Double Integrals | 754-759 | ||
14.2 Iteration of Double Integrals in Cartesian Coordinates | 760-766 | 3, 4, 9, 13, 15, 25, 27 | 8, 11, 16, 22, 28 |
14.4 Double Integrals in Polar Coordinates | 772-776 | 3, 9, 12, 21, 23, 26 | 6, 10, 22, 24 |
14.5 Triple Integrals | 781-786 | 1, 7, 9, 15, 27 | 8, 10, 28 |
14.6 Change of Variables in Triple Integrals | 787-794 | 1, 15, 17, 25, 27 | 3, 16, 18, 26, 28 |
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11.1 Vector Functions of One Variable | 591-597 | 9, 10, 17 | 12, 18 |
11.3 Curves and Parametrizations | 605-610 | 1, 3, 5, 9, 11, 13, 18 en 1(b), 2(a), 5 | 2, 6, 7, 8, 16, 20 en 1(a), 2(b), 3 |
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15.3 Line Integrals | 820-823 | 1 (let op: z ds vervangen door x ds), 3, 5, 8, 14 | 2, 4, 6, 7, 15 |
15.1 Vector and Scalar Fields | 806-809 | 3, 9 | 2, 10 |
15.2 Conservative Fields | 811-817 | 1, 3, 5, 7 | 2, 4, 6, 8 |
15.4 Line Integrals of Vector Fields | 824-830 | 1, 5, 7, 10, 13, 22 | 2, 4, 6, 8, 9, 12 |
15.5 Surfaces and Surface Integrals | 832-841 | 2, 4, 7, 9, 15, 17, 11 | 1, 3, 8, 10, 16 |
15.6 Oriented Surfaces and Flux Integrals | 843-847 | Uit 15.6: 1, 3, 5, 7, 8, 11, Uit de Review Exercises op p.849: 12 | Uit 15.6: 2, 4, 6, 10, 12, 17. Uit de Review Exercises op p.849: 6 |
Let op: in de Secties 15.3, .4, .5 en .6 komen integralen voor, waarvan de samenhang en symmetrie door de verspreide presentatie slecht zichtbaar is. Bekijk hier de samenvatting. |