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I. Differentiation – 1. Kontinuitet 30 Et punkt med polære koordinater har kartesiske koordinater (r,θ) = (2, 5π 4 ) x = r cos θ = 2cos 5π 4 = −√ 2 y = r sinθ = 2sin 5π 4 = −√ 2 (x,y) = (− √ 2, − √ 2) 1.34. Polær-kartesisk ordbog ☞ [S] Appendix H.1 Polar coordinates Figur
I. Differentiation – 1. Kontinuitet 31 y P( √ 2, √ 2) 5 /4 2 3 √ 2 1 /4 P(3,3) 1.35. Polær-kartesisk ordbog ☞ [S] Appendix H.1 Polar coordinates Eksempel Et punkt med kartesiske koordinater (x,y) = (3,3) har polære koordinater r = x 2 + y 2 = 3 2 + 3 2 = 3 √ 2 −1 y 3 π θ = tan = tan−1 = x 3 4 x
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1. Grafiske/numeriske metoder IV Di
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IV. Differentialligninger - 1. Graf
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1. Vektorer og matricer V Matricer
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V. Matricer - 4. Determinanter = (
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1. Egenvektorer VI Egenvektorer og
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VI. Egenvektorer og diagonalisering
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VIII. Appendiks - 1. Polære koordi
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Litteratur • Arnold, Ordinary dif
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0-række/søjle, 423 n-te afsnitssu
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Identitetsmatricen, 383 Identitetsm
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etningsafledede, 89, 102 retningsfe
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