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I. Differentiation – 1. Kontinuitet 26 Eksempel 4, 8 er kontinuert på mængden R 2 . Løsning viser, at f(x,y) = |f(x,y)| = 3 3x 2 y x 2 +y 2 , (x,y) = (0,0) 0, (x,y) = 0 x 2 x2 |y| ≤ 3|y| + y2 f(x,y) → 0, når (x,y) → (0,0) 1.28. Øvelse grafisk ☞ [S] 11.2 Limits and continuity Figur
I. Differentiation – 1. Kontinuitet 27 z x Kontinuert i (0,0) 1.29. Udvid det hele til mange variable ☞ [S] 11.2 Limits and continuity Flere variable Omtalen af grænseværdi og kontinuitet for funktioner i to variable udvides umiddelbart til tre eller flere variable. Eksempel Funktionen f(x,y,z) = y 1 x 2 + y 2 + z 2
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II. Integration - 1. Dobbelt integr
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III. Potensrækker - 4. Taylorpolyn
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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 419
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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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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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