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Algèbre et Statistique. Classe de Première B by Lebossé C., Hémery C., Faure P.

By Lebossé C., Hémery C., Faure P.

Cours conforme aux programmes du eight juin 1966.

Table des matières :

Algèbre et notions d’analyse

Leçon 1 — Vocabulaire et symboles — Notions sur les ensembles — kinfolk binaires — functions et fonctions
Leçon 2 — Équation du moment degré
    Somme et produit des racines
    Signe des racines
Leçon three — Trinôme du moment degré — Inéquation du moment degré — Comparaison d’un nombre aux racines d’un trinôme
Leçon four — Équations et systèmes se ramenant au moment degré
    Équations se ramenant au moment degré
    Systèmes d’équations du moment degré
    Problèmes du moment degré
Leçon five — Fonctions d’une variable réelle — Limites — Coordonnées et graphes
Leçon 6 — Dérivées — Calcul des dérivées
Leçon 7 — edition des fonctions — Courbes d’équation : y = f(x)
Leçon eight — Fonctions : y = ax² et y = ax² + bx + c
Leçon nine — Fonctions : y = a/x et y = (ax + b)/(cx + d)
Leçon 10 — Fonctions : y = x³ + px + q et y = ax⁴ + bx² + c
Leçon eleven — Produit scalaire — family trigonométriques dans le triangle
Leçon 12 — Arcs et angles
Leçon thirteen — Fonctions circulaires — family fondamentales — Arcs associés
Leçon 14 — Recherche des fonctions circulaires d’un arc donné — Équations fondamentales
Leçon 15 — Formules d’addition et de multiplication — modifications trigonométriques
Leçon sixteen — Dérivées des fonctions circulaires — diversifications des fonctions circulaires
Leçon 17 — los angeles droite (repère quelconque)
Leçon 18 — l. a. droite (repère orthonormé) — Le cercle
Leçon 19 — Progressions arithmétiques — Progressions géométriques
Leçon 20 — Logarithmes décimaux — utilization des tables — Calculs logarithmiques
Leçon 21 — Intérêts composés — Annuités — Échelles logarithmiques
Leçon 22 — Règle à calcul

Statistique

Leçon 1 — Généralités — examine statistique
Leçon 2 — Représentation graphique des séries statistiques
Leçon three — Éléments caractéristiques d’une série statistique
Leçon four — Indices de dispersion
Leçon five — Indices statistiques
Leçon 6 — Ajustement linéaire — Méthode des moindres carrés
Leçon 7 — Séries chronologiques
Leçon eight — Notions sur l. a. corrélation

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Additional info for Algèbre et Statistique. Classe de Première B

Sample text

Find the perimeter of a square quilt that has sides 2 yards long. 30. 5 centimeters long. 1 The Language of Algebra APPLICATIONS 31. CARPET CLEANING See the following ad. Rent the in-home Carpet Cleaning System 9 33. CARPENTRY A miter saw can pivot 180° to make angled cuts on molding. The formula that relates the angle measure s on the scrap piece of molding and the angle measure f on the finish piece of molding is s ϭ 180 Ϫ f. Complete the following table and then draw a line graph. Do it yourself and save!

76. 4 4 2 Use one of the symbols Ն or Յ to make each statement true: a. ᎏ 3 1 b. 4. 2 4 ᎏ 3 and Ⅵ OPPOSITES In the figure, we can see that Ϫ3 and 3 are both a distance of 3 units away from zero on the number line. Because of this, we say that Ϫ3 and 3 are opposites or additive inverses. Parentheses are used to express the opposite of a negative number. For example, the opposite of Ϫ3 is written as Ϫ(Ϫ3). Since Ϫ3 and 3 are the same distance from zero, the opposite of Ϫ3 is 3. Symbolically, this can be written Ϫ(Ϫ3) ϭ 3.

B. ᎏᎏ 4 Ϫ25 and a. Since Ϫ24 is to the right of Ϫ25 on the number line, Ϫ24 Ͼ Ϫ25. 3 b. 76. 76. 4 4 2 Use one of the symbols Ն or Յ to make each statement true: a. ᎏ 3 1 b. 4. 2 4 ᎏ 3 and Ⅵ OPPOSITES In the figure, we can see that Ϫ3 and 3 are both a distance of 3 units away from zero on the number line. Because of this, we say that Ϫ3 and 3 are opposites or additive inverses. Parentheses are used to express the opposite of a negative number. For example, the opposite of Ϫ3 is written as Ϫ(Ϫ3). Since Ϫ3 and 3 are the same distance from zero, the opposite of Ϫ3 is 3.

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