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# Table of contents
# Learn more at https://jupyterbook.org/customize/toc.html
format: jb-book
root: chapters/forord
#options:
#numbered: 4
parts:
- caption: Indledning
numbered: false
chapters:
- file: chapters/Indledning/til-dig-som-elev
- file: chapters/Indledning/til-dig-som-laerer
- caption: Del 1
numbered: true
chapters:
- file: chapters/Del_1/Tal_og_algebra/tal-og-algebra
sections:
- file: chapters/Del_1/Tal_og_algebra/tallene
- file: chapters/Del_1/Tal_og_algebra/approksimationer
- file: chapters/Del_1/Tal_og_algebra/regnearterne
- file: chapters/Del_1/Tal_og_algebra/kvadratsaetninger
- file: chapters/Del_1/Tal_og_algebra/faktorisering-og-kvadratkomplettering
- file: chapters/Del_1/Tal_og_algebra/broeker
- file: chapters/Del_1/Tal_og_algebra/potenser
- file: chapters/Del_1/Tal_og_algebra/roedder
- file: chapters/Del_1/Tal_og_algebra/logaritmer
- file: chapters/Del_1/Tal_og_algebra/summer-og-produkter
- file: notebooktest/test
- file: chapters/Del_1/Maengdeteori/maengdeteori
sections:
- file: chapters/Del_1/Maengdeteori/symboler-i-maengdeteorien
- file: chapters/Del_1/Maengdeteori/talmaengder
- file: chapters/Del_1/Maengdeteori/maengdeoperationer
- file: chapters/Del_1/Maengdeteori/intervaller
- file: chapters/Del_1/Ligninger_og_uligheder/ligninger-og-uligheder
sections:
- file: chapters/Del_1/Ligninger_og_uligheder/lighed-og-ligevaegt
- file: chapters/Del_1/Ligninger_og_uligheder/grundmaengder
- file: chapters/Del_1/Ligninger_og_uligheder/en-ligning-med-en-ubekendt
- file: chapters/Del_1/Ligninger_og_uligheder/to-ligninger-med-to-ubekendte
- file: chapters/Del_1/Ligninger_og_uligheder/grafernes-muligheder
- file: chapters/Del_1/Ligninger_og_uligheder/andengradsligninger
- file: chapters/Del_1/Ligninger_og_uligheder/uligheder
- file: chapters/Del_1/Ligninger_og_uligheder/numeriske-ligninger
- file: chapters/Del_1/Klassisk_geometri/klassisk-geometri
sections:
- file: chapters/Del_1/Klassisk_geometri/euklid
- file: chapters/Del_1/Klassisk_geometri/de-tre-dimensioner
- file: chapters/Del_1/Klassisk_geometri/polygoner
- file: chapters/Del_1/Klassisk_geometri/cirklen
- file: chapters/Del_1/Klassisk_geometri/rumlige-figurer
- file: chapters/Del_1/Trigonometri/trigonometri
sections:
- file: chapters/Del_1/Trigonometri/sinus-og-cosinus
- file: chapters/Del_1/Trigonometri/enhedscirklen
- file: chapters/Del_1/Trigonometri/tangens
- file: chapters/Del_1/Trigonometri/sinusrelationen
- file: chapters/Del_1/Trigonometri/cosinusrelationen
- file: chapters/Del_1/Trigonometri/arealberegning
- file: chapters/Del_1/Analytisk_plangeometri/analytisk-plangeometri
sections:
- file: chapters/Del_1/Analytisk_plangeometri/laengde-og-afstandsformlen-i
- file: chapters/Del_1/Analytisk_plangeometri/linjens-ligning
- file: chapters/Del_1/Analytisk_plangeometri/skaering-mellem-to-linjer
- file: chapters/Del_1/Analytisk_plangeometri/vinkel-mellem-to-linjer
- file: chapters/Del_1/Analytisk_plangeometri/ortogonale-linjer
- file: chapters/Del_1/Analytisk_plangeometri/cirklens-ligning
- file: chapters/Del_1/Analytisk_plangeometri/cirklen-og-linjer-i
- file: chapters/Del_1/Vektorer_i_planen/vektorer-i-planen
sections:
- file: chapters/Del_1/Vektorer_i_planen/vektorer
- file: chapters/Del_1/Vektorer_i_planen/laengde-og-afstandsformlen-ii
- file: chapters/Del_1/Vektorer_i_planen/sum-vektorer
- file: chapters/Del_1/Vektorer_i_planen/regnearternes-egenskaber-for-vektorer
- file: chapters/Del_1/Vektorer_i_planen/modsatrettede-vektorer
- file: chapters/Del_1/Vektorer_i_planen/komposanter
- file: chapters/Del_1/Vektorer_i_planen/enhedsvektorer
- file: chapters/Del_1/Vektorer_i_planen/skalarproduktet
- file: chapters/Del_1/Vektorer_i_planen/vektorprojektion
- file: chapters/Del_1/Vektorer_i_planen/determinanter
- file: chapters/Del_1/Vektorer_i_planen/normal-vektorer-og-linjens-ligning
- file: chapters/Del_1/Vektorer_i_planen/linjens-parameterfremstilling
- file: chapters/Del_1/Vektorer_i_planen/afstand-mellem-punkt-og-linje
- file: chapters/Del_1/Vektorer_i_planen/cirklen-og-linjer-ii
- file: chapters/Del_1/Funktioner_I/funktioner-i
sections:
- file: chapters/Del_1/Funktioner_I/koordinatsystemet
- file: chapters/Del_1/Funktioner_I/funktionsbegrebet
- file: chapters/Del_1/Funktioner_I/grafen-for-en-funktion
- file: chapters/Del_1/Funktioner_I/definitionsmaengde-og-vaerdimaengde
- file: chapters/Del_1/Funktioner_I/minimumspunkter-og-maksimumspunkter
- file: chapters/Del_1/Funktioner_I/monotoniforhold
- file: chapters/Del_1/Funktioner_I/parallelforskydninger-langs-akserne
- file: chapters/Del_1/Den_lineaere_funktion/den-lineaere-funktion
sections:
- file: chapters/Del_1/Den_lineaere_funktion/funktionsforskriften
- file: chapters/Del_1/Den_lineaere_funktion/den-konstante-funktion
- file: chapters/Del_1/Den_lineaere_funktion/to-punkter
- file: chapters/Del_1/Den_lineaere_funktion/proportionalitet
- file: chapters/Del_1/Den_lineaere_funktion/stykvis-lineaer-funktion
- file: chapters/Del_1/Polynomier/polynomier
sections:
- file: chapters/Del_1/Polynomier/andengradspolynomiet
- file: chapters/Del_1/Polynomier/parablen
- file: chapters/Del_1/Polynomier/ntegradspolynomiet
- file: chapters/Del_1/Polynomier/kurvetilpasning
- file: chapters/Del_1/Funktioner_II/funktioner-ii
sections:
- file: chapters/Del_1/Funktioner_II/uendelighedsbegrebet
- file: chapters/Del_1/Funktioner_II/graensevaerdier
- file: chapters/Del_1/Funktioner_II/grafers-asymptoter
- file: chapters/Del_1/Funktioner_II/kontinuerte-funktioner
- file: chapters/Del_1/Funktioner_II/stykvis-kontinuerte-funktioner
- file: chapters/Del_1/Deskriptiv_statistik/deskriptiv-statistik
sections:
- file: chapters/Del_1/Deskriptiv_statistik/grundlaeggende-begreber-deskriptiv-statistik
- file: chapters/Del_1/Deskriptiv_statistik/ugrupperede-og-grupperede-observationer
- file: chapters/Del_1/Deskriptiv_statistik/statistiske-deskriptorer
- file: chapters/Del_1/Deskriptiv_statistik/deskriptive-plots
- file: chapters/Del_1/Deskriptiv_statistik/outliers
- file: chapters/Del_1/Deskriptiv_statistik/estimation-af-populationen
- file: chapters/Del_1/Deskriptiv_statistik/bias
- file: chapters/Del_1/Sandsynlighedsregning_I/sandsynlighedsregning-i
sections:
- file: chapters/Del_1/Sandsynlighedsregning_I/grundlaeggende-begreber
- file: chapters/Del_1/Sandsynlighedsregning_I/sandsynlighedsrum-i
- file: chapters/Del_1/Sandsynlighedsregning_I/additionsprincippet-og-multiplikationsprincippet
- file: chapters/Del_1/Sandsynlighedsregning_I/fakultetsfunktionen
- file: chapters/Del_1/Sandsynlighedsregning_I/kombinationer-og-permutationer
- file: chapters/Del_1/Sandsynlighedsregning_I/tilbagelaegning
- caption: Del 2
numbered: true
chapters:
- file: chapters/Del_2/Potensfunktionen/potensfunktionen
sections:
- file: chapters/Del_2/Potensfunktionen/funktionsforskriften
- file: chapters/Del_2/Potensfunktionen/heltallige-eksponenter
- file: chapters/Del_2/Potensfunktionen/ikke-heltallige-eksponenter
- file: chapters/Del_2/Eksponentialfunktionen/eksponentialfunktionen
sections:
- file: chapters/Del_2/Eksponentialfunktionen/funktionsforskriften
- file: chapters/Del_2/Eksponentialfunktionen/eksponentialet
- file: chapters/Del_2/Eksponentialfunktionen/tallet-e
- file: chapters/Del_2/Eksponentialfunktionen/logaritmefunktionen
- file: chapters/Del_2/Eksponentialfunktionen/den-naturlige-logaritme
- file: chapters/Del_2/Eksponentialfunktionen/halverings-og-fordoblingskonstant
- file: chapters/Del_2/Eksponentialfunktionen/vaekst
- file: chapters/Del_2/Opsparing_og_annuiteter/opsparing-og-annuiteter
sections:
- file: chapters/Del_2/Opsparing_og_annuiteter/procent-og-promille
- file: chapters/Del_2/Opsparing_og_annuiteter/rentesregning
- file: chapters/Del_2/Opsparing_og_annuiteter/opsparingsannuitet
- file: chapters/Del_2/Opsparing_og_annuiteter/gaeldsannuitet
- file: chapters/Del_2/Trigonometriske_funktioner/trigonometriske-funktioner
sections:
- file: chapters/Del_2/Trigonometriske_funktioner/sinus-cosinus-og-tangens-som-funktion
- file: chapters/Del_2/Trigonometriske_funktioner/enhedscirklen-ii
- file: chapters/Del_2/Trigonometriske_funktioner/radianer-og-vinkler
- file: chapters/Del_2/Trigonometriske_funktioner/trigonometriske-grundligninger
- file: chapters/Del_2/Trigonometriske_funktioner/trigonometriske-uligheder
- file: chapters/Del_2/Trigonometriske_funktioner/trigonometriske-relationer
- file: chapters/Del_2/Trigonometriske_funktioner/periodicitet
- file: chapters/Del_2/Trigonometriske_funktioner/harmoniske-svingninger
- file: chapters/Del_2/Funktioner_III/funktioner-iii
sections:
- file: chapters/Del_2/Funktioner_III/sammensatte-funktioner
- file: chapters/Del_2/Funktioner_III/omvendte-funktioner
- file: chapters/Del_2/Funktioner_III/injektivitet-surjektivitet-og-bijektivitet
- file: chapters/Del_2/Funktioner_III/lige-og-ulige-funktioner
- file: chapters/Del_2/Differentialregning/differentialregning-i
sections:
- file: chapters/Del_2/Differentialregning/vaeksthastighed-i
- file: chapters/Del_2/Differentialregning/infinitesimaler
- file: chapters/Del_2/Differentialregning/sekant-og-tangent
- file: chapters/Del_2/Differentialregning/tre-trinsreglen
- file: chapters/Del_2/Differentialregning/afledte-funktioner
- file: chapters/Del_2/Differentialregning/sumreglen-produktreglen-og-kvotientreglen
- file: chapters/Del_2/Differentialregning/differentiation-af-en-sammensat-funktion
- file: chapters/Del_2/Differentialregning/differentiabilitet-og-kontinuitet
- file: chapters/Del_2/Differentialregning/optimering
- file: chapters/Del_2/Sandsynlighedsregning_II/sandsynlighedsregning-ii
sections:
- file: chapters/Del_2/Sandsynlighedsregning_II/haendelser
- file: chapters/Del_2/Sandsynlighedsregning_II/regneregler-for-sandsynligheder
- file: chapters/Del_2/Sandsynlighedsregning_II/betingede-sandsynligheder
- file: chapters/Del_2/Sandsynlighedsregning_II/bayes-saetning
- file: chapters/Del_2/Sandsynlighedsregning_II/uafhaengige-haendelser
- file: chapters/Del_2/Stokastiske_variabler_I/stokastiske-variabler-i
sections:
- file: chapters/Del_2/Stokastiske_variabler_I/stokastiske-variabler
- file: chapters/Del_2/Stokastiske_variabler_I/variablernes-sandsynlighedsfordeling
- file: chapters/Del_2/Stokastiske_variabler_I/empiriske-estimatorer
- file: chapters/Del_2/Stokastiske_variabler_I/uafhaengighed-mellem-variabler
- file: chapters/Del_2/Binomialfordelingen/0binomialfordelingen
sections:
- file: chapters/Del_2/Binomialfordelingen/bernoulli-og-binomialforsoeg
- file: chapters/Del_2/Binomialfordelingen/binomialkoefficienten
- file: chapters/Del_2/Binomialfordelingen/binomialfordelingen
- file: chapters/Del_2/Binomialfordelingen/middelvaerdi-og-varians
- file: chapters/Del_2/Normalfordelingen/normalfordelingen
sections:
- file: chapters/Del_2/Normalfordelingen/taethedsfunktionen-og-gauss-kurven
- file: chapters/Del_2/Normalfordelingen/normalfordelingens-parametre
- file: chapters/Del_2/Normalfordelingen/sandsynlighedsberegning
- file: chapters/Del_2/Normalfordelingen/normalfordelte-data
- file: chapters/Del_2/Normalfordelingen/binomialfordelingens-relation-til-normalfordelingen
- file: chapters/Del_2/Statistiske_test/statistiske-test
sections:
- file: chapters/Del_2/Statistiske_test/stikproever-og-hypotesetest
- file: chapters/Del_2/Statistiske_test/signifikans-og-konfidensintervaller
- file: chapters/Del_2/Statistiske_test/binomialtest
- file: chapters/Del_2/Statistiske_test/chi-test-for-godness-of-fit
- file: chapters/Del_2/Statistiske_test/chi-test-for-uafhaengighed
- file: chapters/Del_2/Statistiske_test/t-test-for-en-og-to-stikproever
- file: chapters/Del_2/Regression_I/regression-i
sections:
- file: chapters/Del_2/Regression_I/datamaessige-sammenhaenge
- file: chapters/Del_2/Regression_I/simpel-lineaer-regression
- file: chapters/Del_2/Regression_I/residualer
- file: chapters/Del_2/Regression_I/forklaringsgrad-i
- file: chapters/Del_2/Regression_I/simpel-ikke-lineaer-regression
- file: chapters/Del_2/Regression_I/logistisk-regression
- file: chapters/Del_2/Regression_I/matematisk-modellering-i
- caption: Del 3
numbered: true
chapters:
- file: chapters/Del_3/Ikke-euklidisk_geometri/ikke-euklidisk-geometri
sections:
- file: chapters/Del_3/Ikke-euklidisk_geometri/euklids-femte-postulat
- file: chapters/Del_3/Ikke-euklidisk_geometri/elliptisk-geometri
- file: chapters/Del_3/Ikke-euklidisk_geometri/hyperbolsk-geometri
- file: chapters/Del_3/Vektorer_i_rummet/vektorer-i-rummet
sections:
- file: chapters/Del_3/Vektorer_i_rummet/rummets-koordinatsystem
- file: chapters/Del_3/Vektorer_i_rummet/tre-dimensionelle-vektorer
- file: chapters/Del_3/Vektorer_i_rummet/den-euklidiske-norm
- file: chapters/Del_3/Vektorer_i_rummet/regneregler
- file: chapters/Del_3/Vektorer_i_rummet/krydsproduktet
- file: chapters/Del_3/Vektorer_i_rummet/linjer-i-rummet
- file: chapters/Del_3/Vektorer_i_rummet/planer-i-rummet
- file: chapters/Del_3/Vektorer_i_rummet/planens-ligning
- file: chapters/Del_3/Vektorer_i_rummet/planens-parameterfremstilling
- file: chapters/Del_3/Vektorfunktioner/vektorfunktioner
sections:
- file: chapters/Del_3/Vektorfunktioner/hvorfor-vektorfunktioner
- file: chapters/Del_3/Vektorfunktioner/parameterfremstillingen
- file: chapters/Del_3/Vektorfunktioner/skaering-med-akserne
- file: chapters/Del_3/Vektorfunktioner/differentiation-af-en-vektorfunktion
- file: chapters/Del_3/Vektorfunktioner/lodrette-og-vandrette-tangenter
- file: chapters/Del_3/Vektorfunktioner/afstand-mellem-kurve-og-punkt
- file: chapters/Del_3/Vektorfunktioner/fra-vektorfunktion-til-almindelig-funktion
- file: chapters/Del_3/Vektorfunktioner/kurvelaengde
- file: chapters/Del_3/Vektorfunktioner/banekurve-hastighedsvektor-og-accelerationsvektor
- file: chapters/Del_3/Differentialregning_II/differentialregning-ii
sections:
- file: chapters/Del_3/Differentialregning_II/implicit-differentiation
- file: chapters/Del_3/Differentialregning_II/dobbeldifferentiation
- file: chapters/Del_3/Differentialregning_II/skraa-vendetangenter
- file: chapters/Del_3/Differentialregning_II/konveksitet-og-konkavitet
- file: chapters/Del_3/Integralregning/integralregning
sections:
- file: chapters/Del_3/Integralregning/bestemte-og-ubestemte-integraler
- file: chapters/Del_3/Integralregning/stamfunktioner
- file: chapters/Del_3/Integralregning/regneregler-for-integraler
- file: chapters/Del_3/Integralregning/integration-ved-substitution
- file: chapters/Del_3/Integralregning/partiel-integration
- file: chapters/Del_3/Integralregning/arealberegning
- file: chapters/Del_3/Integralregning/rotationslegemer
- file: chapters/Del_3/Integralregning/kurvelaengde
- file: chapters/Del_3/Funktioner_af_to_variabler/funktioner-af-to-variabler
sections:
- file: chapters/Del_3/Funktioner_af_to_variabler/grafer-i-rummet
- file: chapters/Del_3/Funktioner_af_to_variabler/snitfunktioner-og-snitkurver
- file: chapters/Del_3/Funktioner_af_to_variabler/niveaukurver
- file: chapters/Del_3/Funktioner_af_to_variabler/partielle-afledede
- file: chapters/Del_3/Funktioner_af_to_variabler/gradienten
- file: chapters/Del_3/Funktioner_af_to_variabler/tangentplan
- file: chapters/Del_3/Funktioner_af_to_variabler/stationaere-punkter
- file: chapters/Del_3/Funktioner_af_to_variabler/hesse-matricen
- file: chapters/Del_3/Differentialligninger/differentialligninger
sections:
- file: chapters/Del_3/Differentialligninger/hvorfor-differentialligninger
- file: chapters/Del_3/Differentialligninger/partikulaere-og-fuldstaendige-loesninger
- file: chapters/Del_3/Differentialligninger/at-goere-proeve
- file: chapters/Del_3/Differentialligninger/tangent-og-haeldningsfelter
- file: chapters/Del_3/Differentialligninger/vaeksthastighed-ii
- file: chapters/Del_3/Differentialligninger/linjeelementer
- file: chapters/Del_3/Differentialligninger/separable-differentialligninger
- file: chapters/Del_3/Differentialligninger/lineaere-foerste-ordens-differentialligninger
- file: chapters/Del_3/Differentialligninger/anden-ordens-differentialligninger
- file: chapters/Del_3/Differentialligninger/numeriske-loesningsmetoder
- file: chapters/Del_3/Stokastiske_variabler_II/stokastiske-variabler-ii
sections:
- file: chapters/Del_3/Stokastiske_variabler_II/et-abstrakt-begreb
- file: chapters/Del_3/Stokastiske_variabler_II/kontinuerte-og-diskrete-sandsynlighedsfordelinger
- file: chapters/Del_3/Stokastiske_variabler_II/sandsynlighedsrum-ii
- file: chapters/Del_3/Stokastiske_variabler_II/momenter
- file: chapters/Del_3/Stokastiske_variabler_II/introtilintegral
- file: chapters/Del_3/Regression_II/regression-ii
sections:
- file: chapters/Del_3/Regression_II/korrelationskoefficienten
- file: chapters/Del_3/Regression_II/forklaringsgrad-ii
- file: chapters/Del_3/Regression_II/mindste-kvadraters-metode
- file: chapters/Del_3/Regression_II/tabsfunktioner
- file: chapters/Del_3/Regression_II/multipel-lineaer-regression
- file: chapters/Del_3/Regression_II/parametrenes-konfidensintervaller
- file: chapters/Del_3/Regression_II/matematisk-modellering-ii
- file: chapters/Del_3/Regression_II/korrelation-og-kausalitet
- caption: Værktøjer
numbered: false
chapters:
- file: chapters/Vaerktoejer/symboler
- file: chapters/Vaerktoejer/gloser