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I. Differentiation – 5. Gradient 92 x z 1 1 z = x 2 + y, D (3/5,4/5)z(1,1) = 2 5.9. Retningsafledt, grafisk ☞ [S] 11.6 Directional derivatives and the . . . Grafisk bestemmelse u y
I. Differentiation – 5. Gradient 93 y 2 1 0 2 4 f(x,y)=1 Niveaukurver og retning u = ( 1 √ 2 , − 1 √ 2 ). x0 = (2,2) og g(h) = z = f(x0 + hu). Aflæs støttepunkter: h −1.7 −0.7 0.0 0.8 1.4 2.0 g(h) 1 0 0.9 2 3 2 5.10. Retningsafledt ☞ [S] 11.6 Directional derivatives and the . . . Grafisk bestemmelse - fortsat Støttepunkter giver grafen h −1.7 −0.7 0.0 0.8 1.4 2.0 g(h) 1 0 0.9 2 3 2 0 1 2 3 2 x
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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I. Differentiation - 1. Kontinuitet
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I. Differentiation - 2. Partielle a
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I. Differentiation - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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II. Integration - 2. Itereret integ
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II. Integration - 3. Generelle omr
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II. Integration - 4. Koordinatskift
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III. Potensrækker - 1. l’Hospita
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III. Potensrækker - 2. Talfølger
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III. Potensrækker - 3. Potensrækk
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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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IV. Differentialligninger - 2. 1. o
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IV. Differentialligninger - 3. Gene
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1. Vektorer og matricer V Matricer
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V. Matricer - 1. Vektorer og matric
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V. Matricer - 2. Lineære afbildnin
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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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VII. Skalarprodukt og projektion -
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VIII. Appendiks - 1. Polære koordi
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IX. Opgaver - 1. August 2002 ⎡
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IX. Opgaver - 5. Januar 2005 600 Gr
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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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