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IX. Opgaver – 2. Januar 2003 548 2. Januar 2003 y 1 0 1 Løsningskurve 2.1. Oversigt ☞ [S], [LA] Nøgleord og begreber ✌ Egenvektorer, egenværdier og diagonalisering ✌ Dobbelt integral og polært koordinatskift ✌ Ortogonal projektion og mindste afstand ✌ Retningsafledt og gradient ✌ Maksimum/minimums metoder x
IX. Opgaver – 2. Januar 2003 549 ✌ Potensrækker ✌ Differentialligninger 2.2. Oversigt ☞ Matematik Alfa 1, Januar 2003 Opgaver 1. Find gradient og retningsafledt 2. Angiv egenvektorer 3. Beregn et dobbeltintegral 4. Beregn en ortogonal projektion 5. Løs en lineær differentialligning 6. Angiv en potensrække og find en grænseværdi 7. Bestem kritiske punkter og ekstrema 2.3. Find gradient ☞ Matematik Alfa 1, Januar 2003 Opgave 1 Betragt funktionen for x > 0,y > 0. 1) Angiv ∂f ∂x (5,2). 2) Angiv ∇f(5,2). f(x,y) = 1 + y x + y
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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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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 - 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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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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