Algèbre et Analyse. Classes Terminales C, D et T by Lebossé C., Hémery C.

By Lebossé C., Hémery C.

Cours conforme aux programmes du eight juin 1966.

Table des matières :

Livre I : Ensembles fondamentaux

Leçon 1 — Ensembles — functions et fonctions — variations ponctuelles
Leçon 2 — Lois de composition — buildings algébriques
Leçon three — L’ensemble N des entiers naturels — examine combinatoire
Leçon four — L’anneau Z des entiers relatifs
    Addition et soustraction
    Multiplication et division
Leçon five — Le corps Q des nombres rationnels
    Opérations sur les rationnels
Leçon 6 — Le corps R des nombres réels
    Le corps R des nombres réels
    Racines
    Interprétation géométrique des réels
Leçon 7 — Le corps C des nombres complexes
    Interprétation géométrique
    Puissances et racines
Leçon eight — purposes trigonométriques de C — Équations du moment degré dans C — purposes géométriques

Livre II : Arithmétique

Leçon nine — Congruences dans Z — department euclidienne dans N
Leçon 10 — Plus grand commun diviseur — Plus petit commun multiple
Leçon eleven — Nombres premiers — purposes aux fractions
Leçon 12 — Numération — Nombres décimaux

Livre III : Étude des fonctions

Leçon thirteen — Fonctions d’une variable réelle — Limites — Formes indéterminées — Fonctions continues
Leçon 14 — Dérivées — Calcul des dérivées — Dérivées successives
Leçon 15 — edition des fonctions — Courbes d’équation y = f(x) — Fonctions : y = ax² + bx + c, fonction homographique, y = ax³ + bx² + cx + d; y = ax⁴ + bx² + c
Leçon sixteen — Fonctions : y = (ax² + bx + c)/(a’x + b’), y = (ax² + bx + c)/(a’x² + b’x + c’) — Fonctions irrationnelles — Fonctions diverses
Leçon 17 — Fonctions primitives — Interprétation et purposes des primitives
Leçon 18 — Calcul de volumes
Leçon 19 — Suites de nombres réels — Progressions arithmétiques — Progressions géométriques
Leçon 20 — Fonction logarithme népérien — Logarithmes base a — Logarithmes décimaux
Leçon 21 — Fonctions exponentielles — Fonctions e^x et e^(−x) — Fonction a^x — Applications

Livre IV : Applications

Leçon 22 — Équations différentielles — Fonctions vectorielles
Leçon 23 — Calcul numérique — Tables numériques
Leçon 24 — Règle à calcul

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Additional resources for Algèbre et Analyse. Classes Terminales C, D et T

Example text

Key Terms to Know conic (conic sections), p. 652 circle, p. 652 center (of a circle), p. 652 radius, p. 652 parabola, p. 656 directrix, p. 656 focus (of a parabola), p. 656 vertex (of a parabola), p. 656 axis (of a parabola), p. 656 ellipse, p. 664 focus (of an ellipse), p. 664 vertices (of an ellipse), p. 664 major axis, p. 664 center (of an ellipse), p. 664 minor axis, p. 664 co-vertices, p. 664 hyperbola, p. 675 foci (of a hyperbola), p. 1 Circles and Parabolas transverse axis (of a hyperbola), p.

3 Multiplying Polynomials 318 1 Use the Distributive Property and the FOIL Method to multiply polynomials. 2 Use special product formulas to multiply two binomials. 3 Use multiplication of polynomials in application problems. Assignment Completed Mid-Chapter Quiz (p. 4 Factoring by Grouping and Special Forms 328 1 Factor greatest common monomial factors from polynomials. 2 Factor polynomials by grouping terms. 3 Factor the difference of two squares and factor the sum or difference of two cubes.

Assignment Completed To prepare for a test on this chapter, review: Your class notes Technology Tips: 657, 667, 679, 684 Your assignments Chapter Review, p. 695 Key Terms Chapter Test, p. 699 Chapter Summary, p. 694 Cumulative Test: Chapters 8–10, p. 700 Study Tips: 655, 656, 677 Notes: ___________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ Your Guide to Chapter 11 Sequences, Series, and the Binomial Theorem Use these two pages to stay organized as you work through this chapter.

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