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IV. Differentialligninger – 3. Generelle metoder 356 Vi viser nu hastighedsfelter for forskellige lineære systemer. • figur 1 – To positive egenværdier • figur 2 – En positiv og en negativ egenværdi • figur 3 – En egenværdi med multiplicitet 2 • figur 4 – Ingen reelle egenværdier 3.19. Grafisk ☞ [S] 7.6 Predator-prey systems Figur 1 – To positive egenværdier y2 3.20. Grafisk ☞ [S] 7.6 Predator-prey systems Figur 2 – En positiv og en negativ egenværdi y1
IV. Differentialligninger – 3. Generelle metoder 357 y2 3.21. Grafisk ☞ [S] 7.6 Predator-prey systems Figur 3 – En egenværdi med multiplicitet 2 y1
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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 - 3. Tangentplan
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I. Differentiation - 4. Kædereglen
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I. Differentiation - 5. Gradient 88
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I. Differentiation - 6. Maksimum/mi
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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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V. Matricer - 3. Lineære ligninger
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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 524 1.
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IX. Opgaver - 1. August 2002 ⎡
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IX. Opgaver - 1. August 2002 540 y
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IX. Opgaver - 2. Januar 2003 548 2.
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IX. Opgaver - 3. Januar 2004 580 Eg
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IX. Opgaver - 5. Januar 2005 594 (t
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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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