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II. Integration – 1. Dobbelt integral 174 1.18. Halvcylinder ☞ [S] 12.1 Double integrals over rectangles Figur - Eksempel 2 z x Grafen for f(x,y) = √ 1 − x 2 Volumen 1 2 π12 · 4 = 2π 1.19. Approximation ☞ [S] 5.9 Approximate integration Figur y
II. Integration – 1. Dobbelt integral 175 f(xi 1) xi 1 xi f(xi) xi f(xi) Endepunkter - Midtpunkt- Trapez 1.20. Approximation ☞ [S] 5.9 Approximate integration Endepunktsregler b n 1 f(x)dx ≈ f(xi−1)∆x 2 Midtpunktsreglen a b f(x)dx ≈ a b f(x)dx ≈ a n i=1 i=1 n f(xi)∆x i=1 f( xi−1 + xi )∆x 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 - 6. Maksimum/mi
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II. Integration - 3. Generelle omr
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II. Integration - 4. Koordinatskift
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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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1. Vektorer og matricer V Matricer
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V. Matricer - 1. Vektorer og matric
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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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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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