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V. Matricer – 1. Vektorer og matricer 368 z x a c 0 (a, b, c) Talrummet R 3 1.5. Addition ☞ [LA] 1 Koordinatvektorer Definition b y
V. Matricer – 1. Vektorer og matricer 369 Sum af vektorer ⎛ ⎞ ⎛ ⎞ ⎛ ⎞ x1 y1 x1 + y1 ⎜ x + y = ⎝ . ⎟ ⎜ . ⎠ + ⎝ . ⎟ ⎜ . ⎠ = ⎝ . ⎟ . ⎠ Eksempel ⎛ ⎞ 1 ⎛ ⎞ 4 ⎛ ⎞ 5 ⎝2⎠ + ⎝5⎠ = ⎝7⎠ 3 6 9 xn yn xn + yn 1.6. Skalering Definition ☞ [LA] 1 Koordinatvektorer Skalarmultiplikation af skalar (tal) og vektor ⎛ ⎞ ⎛ ⎞ Eksempel ⎜ αx = α ⎝ x1 . xn ⎟ ⎠ = ⎜ ⎝ ⎛ ⎞ ⎛ ⎞ 1 3 3⎝2⎠ = ⎝6⎠ 3 9 αx1 . αxn ⎟ ⎠
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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 - 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 - 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 - 1. Graf
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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 536 An
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IX. Opgaver - 1. August 2002 540 y
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IX. Opgaver - 2. Januar 2003 552 z
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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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