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Gradvs 1 · 54 lectiones

Algebra et Geometria I: Nvmeri, Fvnctiones et Geometria Plani

Nvmeri, fvnctiones algebraicae, exponentiales et logarithmicae, et geometria analytica plani.

Argvmentvm cvrsvs

Pars 0Praesentatio cvrsvs

  1. 01Ratio stvdiorvm cvrsvs Algebrae et Geometriae I

Pars 1Nvmeri natvrales

  1. 02Nvmeri natvrales: introdvctio
  2. 03Copiae, relationes et fvnctiones
  3. 04Nvmeri natvrales et axiomata PeaniCvm ratione
  4. 05Operationes primae nvmerorvm natvralivm et relationes ordinisCvm ratione
  5. 06Svmmationes, progressiones et indvctioCvm ratione
  6. 07Divisibilitas et divisio cvm residvoCvm ratione
  7. 08Nvmeri primi et theorema fvndamentale arithmeticaeCvm ratione
  8. 09Maximvs commvnis divisor et minimvm commvne mvltiplvmCvm ratione
  9. 10Congrventiae et arithmetica modvlarisCvm ratione
  10. 11Systemata nvmerationis positionalisCvm ratione
  11. 12Combinatoria elementaris et binomivm NewtonianvmCvm ratione
  12. 13Nvmeri natvrales: synthesis et provocationesCvm ratione

Pars 2Genera nvmerorvm

  1. 14Genera nvmerorvm: introdvctioSvbscriptioCvm ratione
  2. 15Genera nvmerorvm: a natvralibvs ad complexosSvbscriptioCvm ratione
  3. 16Nvmeri integri: constrvctio, signa et ordoSvbscriptioCvm ratione
  4. 17Nvmeri rationales: fractiones earvmqve operationesSvbscriptioCvm ratione
  5. 18Expressio decimalis nvmerorvm rationalivmSvbscriptioCvm ratione
  6. 19Recta realis: ordo, intervalla et valor absolvtvsSvbscriptioCvm ratione
  7. 20Potentiae exponentis rationalis et radicaliaSvbscriptioCvm ratione
  8. 21Aeqvationes et inaeqvationes primi gradvs et systemata lineariaSvbscriptioCvm ratione
  9. 22Nvmeri complexi: operationes et aeqvationesSvbscriptioCvm ratione
  10. 23Genera nvmerorvm: synthesis et provocationesSvbscriptioCvm ratione

Pars 3Fvnctiones algebraicae et polynomia

  1. 24Fvnctiones algebraicae et polynomia: introdvctioSvbscriptioCvm ratione
  2. 25Fvnctiones algebraicae variabilis realisSvbscriptioCvm ratione
  3. 26Operationes fvnctionvm, inversa et transformatio delineationvmSvbscriptioCvm ratione
  4. 27Algebra polynomiorvm realivmSvbscriptioCvm ratione
  5. 28Factorizatio polynomii qvadratici et trinomii gradvs 2nSvbscriptioCvm ratione
  6. 29Radices polynomiorvm gradvs svperioris et divisio syntheticaSvbscriptioCvm ratione
  7. 30Fractiones algebraicae et fractiones partialesSvbscriptioCvm ratione
  8. 31Tabvlae signorvm et inaeqvationesSvbscriptioCvm ratione
  9. 32Fvnctiones rationales: asymptoti et delineatioSvbscriptioCvm ratione
  10. 33Fvnctiones cvm radicalibvs: dominivm, signa et delineatioSvbscriptioCvm ratione
  11. 34Fvnctiones algebraicae et polynomia: synthesis et provocationesSvbscriptioCvm ratione

Pars 4Geometria analytica plani

  1. 35Geometria analytica plani: introdvctioSvbscriptioCvm ratione
  2. 36Aeqvatio rectae et systemata CartesianaSvbscriptioCvm ratione
  3. 37Vectores in plano et aeqvationes parametricae rectaeSvbscriptioCvm ratione
  4. 38Aeqvatio parabolae: definitiones et proprietatesSvbscriptioCvm ratione
  5. 39Characterizatio parabolarvm earvmqve delineationesSvbscriptioCvm ratione
  6. 40Aeqvatio ellipsis et circvmferentiaeSvbscriptioCvm ratione
  7. 41Circvmferentia: tangentes, positvs mvtvi et potentia pvnctiSvbscriptioCvm ratione
  8. 42Aeqvatio hyperbolae eivsqve dedvctioSvbscriptioCvm ratione
  9. 43Sectiones conicae: characterizatio et delineatioSvbscriptioCvm ratione
  10. 44Inaeqvationes in plano et programmatio linearisSvbscriptioCvm ratione
  11. 45Geometria analytica plani: synthesis et provocationesSvbscriptioCvm ratione

Pars 5Fvnctiones exponentialis, logarithmica et hyperbolicae

  1. 46Fvnctiones exponentialis, logarithmica et hyperbolicae: introdvctioSvbscriptioCvm ratione
  2. 47Fvnctio exponentialis et potentia exponentis realisSvbscriptioCvm ratione
  3. 48Nvmervs e et exponentialis natvralisSvbscriptioCvm ratione
  4. 49Fvnctio logarithmvs eivsqve proprietatesSvbscriptioCvm ratione
  5. 50Aeqvationes et inaeqvationes exponentiales et logarithmicaeSvbscriptioCvm ratione
  6. 51Exemplaria incrementi et decrementi exponentialisSvbscriptioCvm ratione
  7. 52Fvnctiones hyperbolicaeSvbscriptioCvm ratione
  8. 53Fvnctiones exponentiales: synthesis et provocationesSvbscriptioCvm ratione

Pars 6Conclvsio cvrsvs

  1. 54Recognitio finalis cvrsvs Algebrae et Geometriae ISvbscriptioCvm ratione