MAT-INF1310 - V?r 2006

Undervisningsplan

DatoUndervises avStedTemaKommentarer / ressurser
17.01.2006Ola Bratteli? Aud. 2, Vilhelm Bjerknes? Oversikt over kurset. Fundamentale definisjoner.? EP, Sections 1.1 - 1.3?
19.01.2006OB? Aud. 2? Separable ligninger. Line?re f?rsteordens ligninger. Substitusjonsmetoder.? EP, Sections 1.4 - 1.5 og 1.6 til (6)

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24.01.2006OB? Aud. 2? Homogene ligninger. Bernoulli ligninger. Eksakte differensialligninger. ? EP, Section 1.6, (7) - (31)?
26.01.2006OB? Aud. 2? Plenumsregning? Oppgaver fra l?reboka:

Sect.1.4, Prob. 4, 12, 30, 64 (Hint: Bruk Torricellis lov p? s.40 i EP), 66, 68

Sect.1.5, Prob. 4, 8, 16, 38, 42 (hailstone = haglkorn)

Sect.1.6, Prob. 16?

31.01.2006OB? Aud. 2? Redusible annen ordens ligninger. Line?re annen ordens ligninger.? EP, Sect. 1,6 (32) - (36), Sect 2.1 til Theorem 4?
02.02.2006OB? Aud. 2? Plenumsregning? Sect, 1.6, Prob. 4, 10, 22, 26, 32, 38, 57, 58, 72?
07.02.2006OB? Aud. 2? Annen ordens ligninger med konstante koeffisienter, Eksistens og entydighet av l?sninger av differensialligninger,? Slutten av Sect 2.1 samt Theorem 3 p? side 127. Appendix p? side 675 til (12).?
09.02.2006OB? Aud. 2? Plenumsregning? Sect 1.6, Prob. 50, 52. 54

Chapter 1, Review Problems (side 95), Prob. 32, 36

Sect. 2.1, Prob. 2, 18, 30, 32,?

14.02.2006OB? Aud. 2? Existence of solutions of differential equations.? A1 in Appendix on page 675 - 682?
16.02.2006OB? Aud. 2? Plenumsregning? Sect. 2.1, Prob. 38, 40, 51, 56

Sect. 2.3, Prob. 8

Appendix, Prob 8, 12, 17, 18 (side 688)

( ||A|| er definert i (33), side 683, og |x| i (21), side 679 )?

21.02.2006OB? Aud. 2? Linear differential equations of higher order. Existence and uniqueness of solutions.? EP, Theorems 1 and 2 in Sect 2.2 on pp 109 - 110, with proofs:

Theorem 1 on page 325.

Theorem 2 in A2 on pp 682-683.

(34) on page 683 together with (11) - (13) on page 320.

Theorem 4 in A4 on pp 685 - 686.?

23.02.2006OB? Aud. 2? Plenumsregning? Appendix, Prob 13, 14

Sect 2.2, Prob. 4, 6, 20, 25, 26, 36, 42?

28.02.2006OB? Aud. 2? The solution space of a linear homogeneous equation. Constant coefficients.? Continuation of Section 2.2, pp 110 - 118.

Section 2.3 to (7), p. 123

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02.03.2006OB? Aud. 2? Nonhomogeneous equations. Undetermined coefficients. Variation of parameters. ? Rest of Section 2.3

Section 2.5?

06.03.2006? ? ? Annonsering av f?rste obligatoriske oppgavesett?
07.03.2006OB? Aud. 2? Plenumsregning? Sect. 2.3, Prob. 4, 38, 48, 50

Sect. 2.5, Prob. 4, 43, 46, 63, 64?

09.03.2006? ? Ingen undervisning? ?pen dag?
14.03.2006OB? Aud. 2? Systems of first order linear differential equations? EP, Sect 5.1, p.320, Sect 5.3, pp.346 - 354

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16.03.2006OB? Aud. 2? Exercise class - oscillations and resonance? Remaining problems from 07/03:

Sect 2.3, Prob.50

Sect 2.5, Prob.43, 46

In addition we go through Section 2.6 in EP?

17.03.2006? ? ? Deadline of delivery for the first set of obligatory problems?
21.03.2006? ? No teaching? Exam period?
23.03.2006? ? No teaching ? Exam period?
28.03.2006OB? Aud. 2? The eigenvalue method for systems of linear first order differential equations with constant coefficient matrices ? EP, Sect 5.4, pp.359-360, 365,

Sect 5.6, pp.383-384, 386-388

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30.03.2006OB? Aud. 2 ? Exercise class. Generalized eigenvectors.? Sect. 5.1, Prob 8, 10

Sect.5.3, Prob 20, 30, 41, 42 43, 44, 45

EP, pp. 389 - 390?

04.04.2006OB? Aud. 2? Matrix exponentials. Variation of parameters for non-homogeneous systems of linear first order differential equations ? EP, Sect. 5.6, pp.392-393,

Sect 5.7, pp.399-400, 402-403, 405-406, 407-408,

Sect 5.8, pp.411-412, 414-417.

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06.04.2006OB? Aud. 2? Exercise class? Sect, 5.4, Prob. 4, 8, 14, 32

Sect. 5.6, Prob. 2, 10, 14?

07.04.2006? ? ? Announcement of the last set of obligatory problems?
11.04.2006? ? No teaching? Easter vacation?
13.04.2005? ? No teaching? Skj?rtorsdag?
18.04.2005? ? No teaching? Last day of easter vacation?
20.04.2006? ? No teaching? OB er i Odense. Arbeid p? obligen!?
25.04.2006OB? Aud. 2? Ikkeline?re systemer og fenomener. Populasjonsmodeller. Likevektsl?sninger og stabilitet.? EP, Avsnitt 1.7 og 7.1?
27.04.2006OB? Aud. 2? Plenumsregning.? Sect. 5.7, Prob. 22, 32, 34, 36, 38

Sect. 5.8, Prob. 24, 30, 34?

28.04.2006? ? ? Deadline of delivery of the last set of obligatory problems?
02.05.2006OB? Aud. 2? Stabilitet og faseplanet. Line?re og nesten line?re systemer? EP, avsnitt 7.2 og 7.3 til (6), s.492?
04.05.2006OB? Aud. 2? Plenumsregning? Sect. 1.7, Prob. 30, 32, 33, 39

Sect. 7.1, Prob. 20, 21, 24, 25, 29?

09.05.2006OB? Aud. 2? Line?risering ved fikspunkter. ?kologiske modeller. Ikkeline?re mekaniske systemer? EP, resten av avsnitt 7.3, avsnitt 7.4 og 7.5 s? langt vi kommer.?
11.05.2006OB? Aud. 2? Fortsettelse fra 09.05? EP, resten av avsnittene 7.4 og 7.5?
16.05.2006OB? Aud. 2? Plenumsregning? Sect.7.2, Prob. 6, 8, 12, 21, 22, 28, 29 , 30 ?
18.05.2005OB? Aud. 2? Plenumsregning? Sect.7.3, Prob. 2, 20, 26, 36?
23.05.2006OB? Aud. 2? Ingen forelesning? Kollisjon med abelprisutdelingen . For en oppdatering av hva som skjer i systemer av differensialligninger i dag, g? p? Abel-forelesningene i morgen.?
25.05.2006? ? Ingen forelesning? Kristi himmelfartsdag?
30.05.2006OB? Aud. 2? Plenumsregning ? Oppgaver fra eksamen i MAT-INF1310 v?ren 2005 . Gronvalls lemma kan finnes p? side 6 og 7 her . Vi beviste en versjon 16/02 i Prob. 18 i Appendix (side 688 i EP)

Dessuten oppgaver det ikke ble tid til 18.5:

Sect.7.3, Prob. 37 Sect.7.4, Prob. 28, 32 Sect.7.5, Prob. 4, 6 ?

01.06.2006? ? No teaching? Eksamensuke?
06.06.2006? ? No teaching? Eksamensuke?
08.06.2006? ? No teaching? Eksamensuke?
13.06.2005? ? No teaching? Eksamensuke?
15.06.2006? ? ? Final exam?
Publisert 11. nov. 2005 17:06 - Sist endret 7. feb. 2020 16:09
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