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Aye Captain

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5(G). POLYNOMIER. Andengradspolynomiets graf
Sætning 10, 11 og 12 (s. 124-125) i B1 samt s. 25 og 34 i B2.
Samtaleemner: Løsning af andengradsligninger, anvendelser, polynomier generelt.

6(B)*. LOGARITMEFUNKTIONER. Regneregler for logaritmefunktioner.
Sætning 15 evt. 16 (s. 135-137) i B1.
Samtaleemner: Fordoblingskonstant, anvendelser indenfor væksttyper, funktioner generelt.

7(B/G). EKSPONENTIALFUNKTIONER. Eksponentiel vækst og fordoblingskonstant
Især sætning 19 (s. 147-148) i B1. Det er meningen, at I skal kunne gøre rede for koblingen med kapitelfremskrivningsformlen.
Samtaleemner: Graf for eksponentialfunktioner, andre væksttyper, funktioner generelt.

8(B)*. DIFFERENTIALREGNING. Differentialkvotienten af x2 og
Du kan eventuelt inddrage projektet ”Optimering”.
Sætning 1 og 4 (s. 15 og 18) i B2. Det er oplagt at gå videre med tangentens ligning.
Samtaleemner: Differentiation af potensfunktioner generelt, eksempler på differentialkvotienter, tangenter (hvis du ikke selv nævner det), monotoniforhold, optimering.

9(B)*. DIFFERENTIALREGNING. Differentialkvotienten af x3 og 1/x
Du kan eventuelt inddrage projektet ”Optimering”.
Sætning 2 og 3 (s. 16-17) i B2. Det er oplagt at gå videre med tangentens ligning.
Samtaleemner: Differentation af potensfunktioner generelt, eksempler på differentialkvotienter, , tangenter (hvis du ikke selv nævner det), monotoniforhold, optimering.

10(B)*. DIFFERENTIALREGNING. Regneregler for differentialkvotienter
Dette spørgsmål tager udgangspunkt i opfattelsen af matematik som et hypotetisk-deduktivt system.
Sætning 17 og 18 (side 194 og 195) i B2.
Samtaleemner: Differentation af potensfunktioner generelt, eksempler på differentialkvotienter, , tangenter (hvis du ikke selv nævner det), monotoniforhold, optimering.

11(G)*. INTEGRALREGNING. Ubestemt og bestemt integral
Sætning 1.12 og 1.13 (s. 104-105) i B2.
Husk at komme ind på definitionen af stamfunktion s.101 og integrationsprøven s. 102.
Vær ikke bange for at komme med eksempler.
Samtaleemner: Opgaver af typen: Find den stamfunktion, der går gennem et bestemt punkt, de forskellige skrivemåder, areal overfor integral, arealfunktionen.

12(G)*. INTEGRALREGNING. Arealer mellem grafer.
Sætning 14 (s. 65) i B2. Det er meningen, I skal komme med eksempler, der belyser den lille, men afgørende forskel på integral og areal.
Husk også at komme ind på de forskellige definitioner (s.51 og 64).
Samtaleemner: Integrationsprøven, bestemt overfor ubestemt integral, opgaver af typen: ”Find den stamfunktion, der går gennem et bestemt punkt”, de forskellige skrivemåder.

13(G). STATISTIK OG SANDSYNLIGHEDSREGNING. Statistiske metoder, herunder χ2-test.
Præsenter kvartilsæt for hhv- grupperede og ugrupperede observationer og boksplot overfor sumkurver. Læg vægten på hvad det betyder - ikke så meget hvordan man gør. Se DeskrStatGG.
Hypotesetest (= goodness of fit) og uafhængighedstest. Se χ2ggVers4 og 155-158 øv. i B2.
Samtaleemner: Anvendelser af χ2-tests, simpel sandsynlighedsregning, binomialfordelingen

14(G)*. STATISTIK OG SANDSYNLIGHEDSREGNING. Binomialfordelingen.
Sætning 1.14 (s. 132) , sætning 4.1 (s. 140) samt ”Middelværdi” (s. 144) i B2.
Samtaleemner: Anvendelser af binomialfordelingen, χ2-tests, statistiske deskriptorer. Pensumoversigt mat B. Eksamen sommer 2014.
Emner
Her kan du læse om det.
Trigonometri.
Clausen, Schomacher, Tolsø: Gyldendals Gymnasiematematik Grundbog B1 side 7-54
Funktioner
Clausen, Schomacher, Tolsø: Gyldendals Gymnasiematematik Grundbog B1 side 57-70, 85-97
Polynomier
Clausen, Schomacher, Tolsø: Gyldendals Gymnasiematematik Grundbog B1 side 117-131
Logaritmefunktioner (Gyldendals Gymnasiematematik Grundbog B1 133-138, 147-148)
Differentialregning I (Clausen, Schomacher og Tolnø: Gyldendals Gymnasiematematik Grundbog B2 7-49.
Integralregning Clausen, Schomacher og Tolnø: Gyldendals Gymnasiematematik Grundbog B2 51-79
Sandsynlighedsregning, statistisk og meningsmålinger
Clausen m.fl.: Gyldendals Gymnasiematematik Grundbog B2 119-128; 145-174; 182-189

Statistiske deskriptorer og χ2-test.
Især deskriptorer: DeskrStatGG - bemærk, at mundltig eksamen handler om de grundlæggende begreber, så hvordan man gør tingene i eksempelvis Geogebra er noget, vi højst vil berøre ganske kort.

Især χ2-test: χ2ggVers4 - her gælder den samme bemærkning som for DeskrStatGG
Vækstmodeller.
Projekt: Vækstmodeller

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