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• Hartmann, Ordinary differential equations, Wiley & Sons 1964. (Den mest omfattende nyere bog om emnet). • Hirsh & Smale, Differential equations, dynamical systems and linear algebra, Academic Press 1974. (Bogen om lineære systemer). • Ince, Ordinary differential equations, Dover Publ. 1917. (Klassisk bog med mange ikkelineære typer). • Iversen, Reelle funktioner af en variabel, Aarhus Universitetsforlag 1988. (Har et godt afsnit om lineære systemer med udførlige beviser). • Iversen, Reelle funktioner af flere variable, Aarhus Universitetsforlag 1988. (Udførlige beviser). • Kock & Nielsen, Lineœr algebra og differentialligninger, Aarhus Universitet 2004. (Noter til kurset). • Poulsen, Funktioner af en og flere variable, Gad 2001. (Noter til kurset for matematikstuderende). • Simmons, Differential equations with applications and historical notes, McGraw-Hill 1972. (Fornøjelig læsning med mange oplysninger). • Stewart, Calculus - concepts and contexts, Brooks/Cole 2001. (Lærebogen, lidt magert omkring differentialligninger og modelering). 604
0-række/søjle, 423 n-te afsnitssum, 272 (koordinat)vektor, 366 (lokal) stabil, 359 (matrix)indgang, 373 Øvre trekantsmatrix, 423 “Reducer til øvre trekantsmatrix”, 426 absolut ekstremum, 117 absolut ekstremumsværdi, 117 absolut maksimum, 115 absolut maksimumsværdi, 115 absolut minimum, 116 absolut minimumsværdi, 116 Stikord 605 absolut værdi, 501 adderes, 375 afledede, 35 afstanden, 478 aftagende:, 269 Algebraens fundamentalsætning, 517 Arctan rækken, 281 Argand planen, 500 argumentet, 510 associativ, 378 Associativ lov, 370, 380 augmenteret matrix, 410 autonom system, 359
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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 - 6. Maksimum/mi
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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 - 4. Determinanter 419
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V. Matricer - 4. Determinanter = (
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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 546 fu
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Page 603: Litteratur • Arnold, Ordinary dif
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